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alternate case: real analysis

Time-scale calculus (1,756 words) [view diff] no match in snippet view article find links to article

In mathematics, time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential

Abel's test (1,116 words) [view diff] no match in snippet view article find links to article

In mathematics, Abel's test (also known as Abel's criterion) is a method of testing for the convergence of an infinite series. The test is named after

L'Hôpital's rule (7,377 words) [view diff] case mismatch in snippet view article find links to article

original on 6 May 2021. Retrieved 26 May 2013. Chatterjee, Dipak (2005). Real Analysis. PHI Learning Pvt. Ltd. ISBN 81-203-2678-4. Krantz, Steven G. (2004)

Walter Rudin (1,245 words) [view diff] exact match in snippet view article find links to article

and clarity, has since become a standard textbook for introductory real analysis courses in the United States. Rudin's analysis textbooks have also been

Undergraduate Texts in Mathematics (4,315 words) [view diff] case mismatch in snippet view article find links to article

Introduction. ISBN 978-0-387-90586-0. Fischer, E. (1982). Intermediate Real Analysis. ISBN 978-0-387-90721-5. Martin, George E. (1982). Transformation Geometry:

Intermediate value theorem (4,532 words) [view diff] no match in snippet view article find links to article

In mathematical analysis, the intermediate value theorem states that if f {\displaystyle f} is a continuous function whose domain contains the interval

Taylor's theorem (9,679 words) [view diff] case mismatch in snippet view article find links to article

Addison–Wesley. Bartle, Robert G.; Sherbert, Donald R. (2011), Introduction to Real Analysis (4th ed.), Wiley, ISBN 978-0-471-43331-6. Hörmander, L. (1976), Linear

Implicit function theorem (3,822 words) [view diff] no match in snippet view article find links to article

In multivariable calculus, the implicit function theorem is a tool that allows relations to be converted to functions of several real variables. It does

Richard Meltzer (970 words) [view diff] exact match in snippet view article find links to article

He is considered by some rock historians to be the first to write real analysis of rock and roll and is credited with inventing "rock criticism". Meltzer

Lagrange inversion theorem (2,428 words) [view diff] no match in snippet view article find links to article

In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse

Lusin's theorem (725 words) [view diff] case mismatch in snippet view article find links to article

l'Académie des Sciences de Paris 154 (1912), 1688–1690. G. Folland. Real Analysis: Modern Techniques and Their Applications, 2nd ed. Chapter 7 W. Zygmunt

Abel's theorem (2,151 words) [view diff] no match in snippet view article find links to article

In mathematics, Abel's theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician

Sturm's theorem (2,817 words) [view diff] no match in snippet view article find links to article

In mathematics, the Sturm sequence of a univariate polynomial p is a sequence of polynomials associated with p and its derivative by a variant of Euclid's

Henstock–Kurzweil integral (2,872 words) [view diff] case mismatch in snippet view article find links to article

Century Bartle, Robert G.; Sherbert, Donald R. (1999). Introduction to Real Analysis (3rd ed.). Wiley. ISBN 978-0-471-32148-4. Čelidze, V G; Džvaršeǐšvili

Arzelà–Ascoli theorem (3,819 words) [view diff] no match in snippet view article find links to article

The Arzelà–Ascoli theorem is a fundamental result of mathematical analysis giving necessary and sufficient conditions to decide whether every sequence

Sergei Fomin (303 words) [view diff] exact match in snippet view article find links to article

mathematician who was co-author with Andrey Kolmogorov of Introductory real analysis, and co-author with Israel Gelfand of Calculus of Variations (1963)

Routh–Hurwitz theorem (654 words) [view diff] no match in snippet view article find links to article

In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left-half complex plane. Polynomials

Caristi fixed-point theorem (433 words) [view diff] no match in snippet view article find links to article

In mathematics, the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed-point theorem for maps

Pseudoconvexity (735 words) [view diff] case mismatch in snippet view article find links to article

} The definition above is analogous to definitions of convexity in Real Analysis. If G {\displaystyle G} does not have a C 2 {\displaystyle C^{2}} boundary

Riemann series theorem (5,248 words) [view diff] no match in snippet view article find links to article

In mathematics, the Riemann series theorem, also called the Riemann rearrangement theorem, named after 19th-century German mathematician Bernhard Riemann

Śleszyński–Pringsheim theorem (272 words) [view diff] no match in snippet view article find links to article

In mathematics, the Śleszyński–Pringsheim theorem is a statement about convergence of certain continued fractions. It was discovered by Ivan Śleszyński

Dini's theorem (716 words) [view diff] case mismatch in snippet view article find links to article

1878.” Bartle, Robert G. and Sherbert Donald R.(2000) “Introduction to Real Analysis, Third Edition” Wiley. p 238. – Presents a proof using gauges. Edwards

Ottó Szász (124 words) [view diff] exact match in snippet view article find links to article

1952, Cincinnati, Ohio) was a Hungarian mathematician who worked on real analysis, in particular on Fourier series. He proved the Müntz–Szász theorem

Steven G. Krantz (1,954 words) [view diff] exact match in snippet view article find links to article

functions, analysis on the Heisenberg group, complex function theory, and real analysis. He applied wavelet analysis to plastic surgery, creating software for

Set theory of the real line (599 words) [view diff] no match in snippet view article find links to article

Set theory of the real line is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows

Fatou–Lebesgue theorem (669 words) [view diff] case mismatch in snippet view article find links to article

_{S}g\,d\mu } by the monotonicity of the Lebesgue integral. Topics in Real Analysis by Gerald Teschl, University of Vienna. Mackevicius, Vigirdas (September

Gerald Folland (397 words) [view diff] case mismatch in snippet view article find links to article

a fellow of the American Mathematical Society. A Guide to Advanced Real Analysis, Washington, D.C. : Mathematical Association of America, 2009. Quantum

Gerald Folland (397 words) [view diff] case mismatch in snippet view article find links to article

a fellow of the American Mathematical Society. A Guide to Advanced Real Analysis, Washington, D.C. : Mathematical Association of America, 2009. Quantum

Fatou–Lebesgue theorem (669 words) [view diff] case mismatch in snippet view article find links to article

_{S}g\,d\mu } by the monotonicity of the Lebesgue integral. Topics in Real Analysis by Gerald Teschl, University of Vienna. Mackevicius, Vigirdas (September

Uniform limit theorem (831 words) [view diff] exact match in snippet view article find links to article

Mathematical theorem in real analysis

Product rule (4,289 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-486-44596-0 Eugene Boman, and Robert Rogers. Real Analysis https://math.libretexts.org/Bookshelves/Analysis/Real_Analysis_(Boman_and_Rogers)/02%3A_Calculus_in

Nested intervals (4,102 words) [view diff] case mismatch in snippet view article find links to article

Houshang H. (2003), "Theorem 2.1.5 (Nested Intervals Theorem)", Basic Real Analysis, Springer, p. 45, ISBN 9780817642112. Königsberger, Konrad (2003), "2

Lipschitz continuity (2,598 words) [view diff] case mismatch in snippet view article find links to article

Real Analysis. Vol. 231. Birkhäuser. p. 142. ISBN 0-8176-4211-0. Thomson, Brian S.; Bruckner, Judith B.; Bruckner, Andrew M. (2001). Elementary Real Analysis

Edward J. McShane (1,151 words) [view diff] exact match in snippet view article find links to article

University of Denver Press. McShane, E. J.; Botts, Truman Arthur (1959). Real analysis. Princeton: Van Nostrand. Bibcode:1959rean.book.....M. McShane, Edward

Blumberg theorem (1,184 words) [view diff] case mismatch in snippet view article find links to article

Society. 11: 667–670. "Variations on Blumberg's Theorem", Jack B. Brown, Real Analysis Exchange 9, #1 (1983/1984), pp. 123–137, doi:10.2307/44153521, JSTOR 44153521

Ralph Henstock (1,672 words) [view diff] case mismatch in snippet view article find links to article

1994 he was awarded the Andy Prize of the XVIII Summer Symposium in Real Analysis. His academic career began as Assistant Lecturer, Bedford College for

Glaeser's composition theorem (83 words) [view diff] no match in snippet view article find links to article

In mathematics, Glaeser's theorem, introduced by Georges Glaeser (1963), is a theorem giving conditions for a smooth function to be a composition of F

Well-ordering principle (2,761 words) [view diff] case mismatch in snippet view article find links to article

Katznelson, Yitzhak; Katznelson, Yonatan (2024-05-22). An Introduction to Real Analysis. American Mathematical Society. p. 3. ISBN 978-1-4704-7421-8. Fletcher

Natural number (5,619 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-07-174251-1 – via Google Books. Carothers, N.L. (2000). Real Analysis. Cambridge University Press. ISBN 978-0-521-49756-5 – via Google Books

Antoni Zygmund (735 words) [view diff] case mismatch in snippet view article find links to article

(University of Chicago, 1950) Measure and Integral: An Introduction to Real Analysis, With Richard L. Wheeden (Marcel Dekker, 1977) Analytic Functions, with

Elias M. Stein (1,021 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-691-11385-8. 2010 reprint Stein, Elias; Shakarchi, R. (2005). Real Analysis: Measure Theory, Integration, and Hilbert Spaces. Princeton University

Watson's lemma (2,537 words) [view diff] no match in snippet view article find links to article

In mathematics, Watson's lemma, proved by G. N. Watson (1918, p. 133), has significant application within the theory on the asymptotic behavior of integrals

Counterexample (1,208 words) [view diff] case mismatch in snippet view article find links to article

L. Wise and Eric B. Hall (1993) Counterexamples in Probability and Real Analysis. Oxford University Press, New York ISBN 0-19-507068-2. Bernard R. Gelbaum

Construction of the real numbers (4,199 words) [view diff] exact match in snippet view article find links to article

and not too instructive." Constructivism (mathematics)#Example from real analysis – Mathematical viewpoint that existence proofs must be constructivePages

Daniell integral (1,647 words) [view diff] case mismatch in snippet view article find links to article

Robert B. (1972). "The Interplay between Measure Theory and Topology". Real Analysis and Probability. New York: Academic Press. pp. 168–200. ISBN 0-12-065201-3

Quasi-continuous function (440 words) [view diff] case mismatch in snippet view article find links to article

and Lower Quasi-continuity". Real Analysis Exchange. 33 (2): 339–350. T. Neubrunn (1988). "Quasi-continuity". Real Analysis Exchange. 14 (2): 259–308. doi:10

Hardy's inequality (2,902 words) [view diff] no match in snippet view article find links to article

Hardy's inequality is an inequality in mathematics, named after G. H. Hardy. Its discrete version states that if a 1 , a 2 , a 3 , … {\displaystyle a_{1}

Richard M. Dudley (603 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-13897-6, retrieved 2024-05-05 Dudley, Richard M. (1989). Real analysis and probability. The Wadsworth & Brooks Cole mathematics series. Pacific

Bounded set (740 words) [view diff] case mismatch in snippet view article find links to article

bounded Bartle, Robert G.; Sherbert, Donald R. (1982). Introduction to Real Analysis. New York: John Wiley & Sons. ISBN 0-471-05944-7. Richtmyer, Robert

Specker sequence (697 words) [view diff] exact match in snippet view article find links to article

computable real numbers does not satisfy the least upper bound principle of real analysis, even when considering only computable sequences. A common way to resolve

Interchange of limiting operations (670 words) [view diff] case mismatch in snippet view article find links to article

Encyclopedia of Mathematics, EMS Press, 2001 [1994] Carothers, N. L. (2000). Real Analysis. New York: Cambridge University Press. p. 150. ISBN 0-521-49749-3. In

Magnitude (mathematics) (1,374 words) [view diff] case mismatch in snippet view article

York: Dover Publications. Bloch, Ethan D. (2011), The Real Numbers and Real Analysis, Springer, p. 52, ISBN 9780387721774 – via Google Books, The idea of

Trigonometric functions (10,888 words) [view diff] exact match in snippet view article find links to article

University press. Bartle, R. G., & Sherbert, D. R. (2000). Introduction to real analysis (3rd ed). Wiley. Bartle & Sherbert 1999, p. 247. Whitaker and Watson

Discontinuities of monotone functions (3,495 words) [view diff] no match in snippet view article find links to article

In the mathematical field of analysis, a well-known theorem describes the set of discontinuities of a monotone real-valued function of a real variable;

Lévy–Prokhorov metric (824 words) [view diff] exact match in snippet view article find links to article

metric", Encyclopedia of Mathematics, EMS Press Dudley, R.M. (1989). Real analysis and probability. Pacific Grove, Calif. : Wadsworth & Brooks/Cole. ISBN 0-534-10050-3

Empty set (2,229 words) [view diff] case mismatch in snippet view article find links to article

Bruckner, A.N., Bruckner, J.B., and Thomson, B.S. (2008). Elementary Real Analysis, 2nd edition, p. 9. Munkres, James Raymond (2018). Topology (Second

PMA (357 words) [view diff] exact match in snippet view article find links to article

a synthetic acrylate polymer Principles of Mathematical Analysis, a real analysis textbook Progressive muscular atrophy, a neurodegenerative muscle-wasting

Abelian (263 words) [view diff] exact match in snippet view article find links to article

every epimorphism is a cokernel Abelian and Tauberian theorems, in real analysis, used in the summation of divergent series Abelian extension, in Galois

Terence Tao (7,069 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-8218-4885-2. MR 2541289. Zbl 1175.00010. — (2010). An epsilon of room, I: real analysis. Pages from year three of a mathematical blog. Graduate Studies in Mathematics

Nth-term test (725 words) [view diff] exact match in snippet view article find links to article

55; Șuhubi p.375 Brabenec, Robert (2005). Resources for the study of real analysis. MAA. ISBN 0883857375. Hansen, Vagn Lundsgaard (2006). Functional Analysis:

Rational number (3,404 words) [view diff] case mismatch in snippet view article find links to article

17 August 2021. Royden, Halsey; Fitzpatrick, Patrick (2017-02-13). Real Analysis (4th ed.). Pearson. pp. 7–54. ISBN 9780134689494. Anthony Vazzana; David

Union (set theory) (1,950 words) [view diff] case mismatch in snippet view article

Springer Science & Business Media. ISBN 9781475716450. "MathCS.org - Real Analysis: Theorem 1.1.4: De Morgan's Laws". mathcs.org. Retrieved 2024-10-22

Infinity symbol (2,267 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-3-540-29587-7. Folland, Gerald B. (2009). A Guide to Advanced Real Analysis. The Dolciani Mathematical Expositions. Vol. 37. Washington, DC: Mathematical

Fσ set (309 words) [view diff] case mismatch in snippet view article find links to article

that every Fσ set is closed Stein, Elias M.; Shakarchi, Rami (2009), Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Princeton University

Carathéodory's theorem (154 words) [view diff] exact match in snippet view article find links to article

complex analytic function Vitali–Carathéodory theorem, a result in real analysis This disambiguation page lists articles associated with the title Carathéodory's

Hyperrectangle (585 words) [view diff] case mismatch in snippet view article find links to article

"Orthotope". MathWorld. Foran, James (1991-01-07). Fundamentals of Real Analysis. CRC Press. ISBN 9780824784539. Retrieved 23 May 2014. Rudin, Walter

Harro Heuser (447 words) [view diff] exact match in snippet view article find links to article

countries he is best known for his popular two-volume introduction into real analysis, Lehrbuch der Analysis. Heuser studied mathematics, physics and philosophy

Harmonic series (mathematics) (6,357 words) [view diff] case mismatch in snippet view article

Kifowit. Roy, Ranjan (December 2007). "Review of A Radical Approach to Real Analysis by David M. Bressoud". SIAM Review. 49 (4): 717–719. JSTOR 20454048

Parity (mathematics) (2,545 words) [view diff] case mismatch in snippet view article

Bruckner, Andrew M.; Bruckner, Judith B.; Thomson, Brian S. (1997), Real Analysis, ClassicalRealAnalysis.com, p. 37, ISBN 978-0-13-458886-5. Stillwell

Injective function (2,635 words) [view diff] case mismatch in snippet view article find links to article

original on 4 June 2017. Bartle, Robert G. (1976), The Elements of Real Analysis (2nd ed.), New York: John Wiley & Sons, ISBN 978-0-471-05464-1, p. 17

Clopen set (768 words) [view diff] case mismatch in snippet view article find links to article

Bartle, Robert G.; Sherbert, Donald R. (1992) [1982]. Introduction to Real Analysis (2nd ed.). John Wiley & Sons, Inc. p. 348. (regarding the real numbers

Cauchy theorem (109 words) [view diff] exact match in snippet view article find links to article

analysis, also Cauchy's integral formula Cauchy's mean value theorem in real analysis, an extended form of the mean value theorem Cauchy's theorem (group

1829 in science (722 words) [view diff] exact match in snippet view article find links to article

Chinese scientist. Bressoud, David M. (2007). A radical approach to real analysis (2nd ed.). [Washington, D.C.]: Mathematical Association of America.

Partition of an interval (408 words) [view diff] case mismatch in snippet view article find links to article

Ghorpade, Sudhir; Limaye, Balmohan (2006). A Course in Calculus and Real Analysis. Springer. p. 213. ISBN 9780387364254. Dudley, Richard M.; Norvaiša

Vector space (11,547 words) [view diff] exact match in snippet view article find links to article

Dover Publications, ISBN 978-0-486-69193-0 Dudley, Richard M. (1989), Real analysis and probability, The Wadsworth & Brooks/Cole Mathematics Series, Pacific

Telescoping series (1,866 words) [view diff] case mismatch in snippet view article find links to article

Sons. pp. 386–387. Brian S. Thomson and Andrew M. Bruckner, Elementary Real Analysis, Second Edition, CreateSpace, 2008, page 85 Weil, André (1989). "Prehistory

Cantor set (6,491 words) [view diff] case mismatch in snippet view article find links to article

positional system with Archimedean absolute value. Carothers, N. L. (2000). Real Analysis. Cambridge: Cambridge University Press. pp. 31–32. ISBN 978-0-521-69624-1

Antiderivative (3,299 words) [view diff] case mismatch in snippet view article find links to article

Wiki". brilliant.org. Retrieved 2020-08-18. Introduction to Classical Real Analysis, by Karl R. Stromberg; Wadsworth, 1981 (see also) Historical Essay On

Initial value problem (1,428 words) [view diff] exact match in snippet view article find links to article

Nonuniqueness Criteria for Ordinary Differential Equations. Series in real analysis. Vol. 6. World Scientific. ISBN 978-981-02-1357-2. Polyanin, Andrei

Flag of Togo (1,107 words) [view diff] case mismatch in snippet view article find links to article

January 2024). "Some Applications of Real Sequences". The Big Book of Real Analysis: From Numbers to Measures. Springer Nature. pp. 263–296. ISBN 978-3-031-30832-1

Dirichlet integral (2,929 words) [view diff] case mismatch in snippet view article find links to article

(2011). "Chapter 10: The Generalized Riemann Integral". Introduction to Real Analysis. John Wiley & Sons. pp. 311. ISBN 978-0-471-43331-6. Zill, Dennis G

Murray H. Protter (302 words) [view diff] case mismatch in snippet view article find links to article

Morrey, Jr. A First Course in Real Analysis (1976, 1991). With Charles B. Morrey, Jr. Basic Elements of Real Analysis (1998). Maximum Principles in Differential

Cantor function (3,496 words) [view diff] exact match in snippet view article find links to article

ISSN 1469-8064. S2CID 56402751. Bass, Richard Franklin (2013) [2011]. Real analysis for graduate students (Second ed.). Createspace Independent Publishing

Frank Morgan (mathematician) (623 words) [view diff] exact match in snippet view article

ISBN 0-88385-530-5 Real analysis. American Mathematical Society, Providence, RI, 2005. viii+151 pp. ISBN 0-8218-3670-6 Real analysis and applications.

Quadrature of the Parabola (1,552 words) [view diff] case mismatch in snippet view article find links to article

Retrieved 2017-01-06. Bressoud, David M. (2006). A Radical Approach to Real Analysis (2nd ed.). Mathematical Association of America. ISBN 0-88385-747-2.

Television in Azerbaijan (214 words) [view diff] case mismatch in snippet view article find links to article

18 February 2018 (2018-02-18) Internet-based, satellite, and cable channel Real TV Real Analysis and Information Center LLC 15 March 2018 (2018-03-15)

Piecewise function (1,079 words) [view diff] case mismatch in snippet view article find links to article

(2005). "The set of continuous piecewise differentiable functions". Real Analysis Exchange. 31 (1): 13–22. doi:10.14321/realanalexch.31.1.0013 (inactive

Extended real number line (2,205 words) [view diff] case mismatch in snippet view article find links to article

Aliprantis, Charalambos D.; Burkinshaw, Owen (1998), Principles of Real Analysis (3rd ed.), San Diego, CA: Academic Press, Inc., p. 29, ISBN 0-12-050257-7

Even and odd ordinals (406 words) [view diff] case mismatch in snippet view article find links to article

Bruckner, Andrew M.; Judith B. Bruckner & Brian S. Thomson (1997). Real Analysis. pp. 37. ISBN 0-13-458886-X. Salzmann, H., T. Grundhöfer, H. Hähl, and

Locally compact space (2,488 words) [view diff] case mismatch in snippet view article find links to article

Schechter 1996, Theorem 20.18, p. 538. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications (2nd ed.). John Wiley & Sons

Absolute value (3,641 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-319-15428-2. Bartle, Sherbert (2011). Introduction to real analysis (4th ed.). John Wiley & Sons. ISBN 978-0-471-43331-6. Bluttman, Ken

T1 space (1,928 words) [view diff] exact match in snippet view article find links to article

(1990) Springer-Verlag ISBN 3-540-18178-4. Folland, Gerald (1999). Real analysis: modern techniques and their applications (2nd ed.). John Wiley & Sons

Area (5,365 words) [view diff] case mismatch in snippet view article find links to article

Complex Analysis, McGraw-Hill, ISBN 0-07-100276-6. Gerald Folland (1999). Real Analysis: modern techniques and their applications, John Wiley & Sons, Inc.,

Ultrafinitism (916 words) [view diff] no match in snippet view article find links to article

finitism by András Kornai On feasible numbers by Vladimir Sazonov "Real" Analysis Is A Degenerate Case Of Discrete Analysis by Doron Zeilberger Discussion

Almost all (2,575 words) [view diff] case mismatch in snippet view article find links to article

incompatibility (help) Sohrab, Houshang H. (15 November 2014). Basic Real Analysis (2 ed.). Birkhäuser. p. 307. doi:10.1007/978-1-4939-1841-6. ISBN 978-1-4939-1841-6

Almost all (2,575 words) [view diff] case mismatch in snippet view article find links to article

incompatibility (help) Sohrab, Houshang H. (15 November 2014). Basic Real Analysis (2 ed.). Birkhäuser. p. 307. doi:10.1007/978-1-4939-1841-6. ISBN 978-1-4939-1841-6

Krein–Milman theorem (2,946 words) [view diff] case mismatch in snippet view article find links to article

University Press. ISBN 978-0-521-29882-7. OCLC 589250. H. L. Royden, Real Analysis. Prentice-Hall, Englewood Cliffs, New Jersey, 1988. Rudin, Walter (1991)

Weak topology (3,143 words) [view diff] case mismatch in snippet view article find links to article

(2nd ed.), Springer-Verlag, ISBN 0-387-97245-5 Folland, G.B. (1999). Real Analysis: Modern Techniques and Their Applications (Second ed.). John Wiley &

Well-order (1,902 words) [view diff] case mismatch in snippet view article find links to article

(3): 325–345. doi:10.4064/fm-56-3-325-345. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications. Pure and applied mathematics

Goldstine theorem (1,117 words) [view diff] case mismatch in snippet view article find links to article

after. p. 69.{{cite book}}: CS1 maint: location (link) Folland, Gerald. Real Analysis: Modern Techniques and Their Applications (Second ed.). Proposition

Grandi's series (2,260 words) [view diff] case mismatch in snippet view article find links to article

Protter, Murray H.; Morrey, Charles B. Jr. (1991). A First Course in Real Analysis. Undergraduate Texts in Mathematics. Springer. p. 249. ISBN 978-0-387-97437-8

Convergence tests (2,228 words) [view diff] case mismatch in snippet view article find links to article

test. L'Hôpital's rule Shift rule Wachsmuth, Bert G. "MathCS.org - Real Analysis: Ratio Test". www.mathcs.org. František Ďuriš, Infinite series: Convergence

Carus Mathematical Monographs (747 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-88385-036-7 Randomness and Recurrence in Dynamical Systems: a Real Analysis Approach, by Rodney Nillsen, 2010, ISBN 978-0-88385-043-5 Linear Inverse

Irrational number (5,309 words) [view diff] case mismatch in snippet view article find links to article

results and open problems". Michel Waldschmidt. Mark Bridger (2007). Real Analysis: A Constructive Approach through Interval Arithmetic. John Wiley & Sons

Norm (mathematics) (5,928 words) [view diff] case mismatch in snippet view article

function – Type of function in linear algebra Knapp, A.W. (2005). Basic Real Analysis. Birkhäuser. p. [1]. ISBN 978-0-817-63250-2. "Pseudonorm". www.spektrum

Cantor's diagonal argument (2,806 words) [view diff] case mismatch in snippet view article find links to article

retrieved 6 December 2013 Bloch, Ethan D. (2011). The Real Numbers and Real Analysis. New York: Springer. p. 429. ISBN 978-0-387-72176-7. Sheppard, Barnaby

Continuum hypothesis (4,039 words) [view diff] case mismatch in snippet view article find links to article

"Throwing a dart at Freiling's argument against the continuum hypothesis". Real Analysis Exchange. 15 (1): 342–345. doi:10.2307/44152014. JSTOR 44152014. MR 1042552

Countable set (4,383 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-2-9551990-1-5. Mukherjee, Subir Kumar (2009). First Course in Real Analysis. Academic Publishers. p. 22. ISBN 978-81-89781-90-3. Yaqub, Aladdin

Andrey Kolmogorov (2,786 words) [view diff] case mismatch in snippet view article find links to article

Andrey Nikolaevich; Fomin, Sergei Vasilyevich (1975) [1970] Introductory Real Analysis, New York: Dover Publications. ISBN 978-0-486-61226-3.. Youschkevitch

Elementary arithmetic (2,113 words) [view diff] case mismatch in snippet view article find links to article

Daniel J.; Aubrey, Jason A. (2017). An Introduction to Proof through Real Analysis. John Wiley & Sons. p. 3. ISBN 9781119314721. Musser, Gary L.; Peterson

Limit of a function (11,366 words) [view diff] exact match in snippet view article find links to article

Robert (1967). The elements of real analysis. Wiley. Bartle, Robert G.; Sherbert, Donald R. (2000). Introduction to real analysis. Wiley. Courant, Richard (1924)

Smith–Volterra–Cantor set (949 words) [view diff] case mismatch in snippet view article find links to article

topological spaces Aliprantis and Burkinshaw (1981), Principles of Real Analysis Smith, Henry J.S. (1874). "On the integration of discontinuous functions"

K-convex function (858 words) [view diff] case mismatch in snippet view article find links to article

127(1):71-88. Kolmogorov, A. N.; Fomin, S. V. (1970). Introduction to Real Analysis. New York: Dover Publications Inc. Sethi S P, Cheng F. Optimality of

Equivalence of metrics (1,023 words) [view diff] exact match in snippet view article find links to article

analysis on manifolds. Dover Publications. Carothers, N. L. (2000). Real analysis. Cambridge University Press. ISBN 0-521-49756-6. Henri Cartan (1971)

Semi-infinite (297 words) [view diff] case mismatch in snippet view article find links to article

known as semi-infinite programming. Trench, William. Introduction to Real Analysis. p. 21. ISBN 0-13-045786-8. Bateman, Transverse seismic waves on the

Riemann–Stieltjes integral (2,816 words) [view diff] case mismatch in snippet view article find links to article

Kolmogorov, Andrey; Fomin, Sergei V. (1975) [1970]. Introductory Real Analysis. Translated by Silverman, Richard A. (Revised English ed.). Dover Press

Proposition (11,638 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-77048-113-8. Carlson, Robert (2017). A Concrete Introduction to Real Analysis. CRC Press. ISBN 978-1-4987-7815-2. Chow, Siu L. (1996). Statistical

Stirling's approximation (4,922 words) [view diff] case mismatch in snippet view article find links to article

note on an identity of the gamma function and Stirling's formula", Real Analysis Exchange, 32 (1): 267–271, MR 2329236 For example, a program in Mathematica:

Squeeze theorem (1,752 words) [view diff] case mismatch in snippet view article find links to article

and sometimes the squeeze lemma. Sohrab, Houshang H. (2003). Basic Real Analysis (2nd ed.). Birkhäuser. p. 104. ISBN 978-1-4939-1840-9. Selim G. Krejn

Contraction mapping (1,120 words) [view diff] exact match in snippet view article find links to article

1007/s10107-018-1303-3. S2CID 49409638. Goldstein, A.A. (1967). Constructive real analysis. Harper's Series in Modern Mathematics. New York-Evanston-London: Harper

Serge Lang (3,706 words) [view diff] case mismatch in snippet view article find links to article

previously published under the different titles of Analysis II (1968) and Real Analysis (1983) Jorgenson, Jay; Lang, Serge (1993). Basic Analysis of Regularized

Computable number (3,270 words) [view diff] exact match in snippet view article find links to article

the existence of counterexamples such as these, parts of calculus and real analysis can be developed in the field of computable numbers, leading to the

Xenu (7,467 words) [view diff] exact match in snippet view article find links to article

Press, contributor Mikael Rothstein observes that, "To my knowledge no real analysis of Scientology's Xenu myth has appeared in scholarly publications. The

James Gregory (mathematician) (2,221 words) [view diff] case mismatch in snippet view article

– Gregory's Proof of the FTC. Ethan D. Bloch. The Real Numbers and Real Analysis, pg. 316. Roger L. Cooke (14 February 2011). The History of Mathematics:

Asuman Aksoy (347 words) [view diff] case mismatch in snippet view article find links to article

Fixed Point Theory (Universitext, Springer, 1990) A Problem Book in Real Analysis (Springer, 2009) In 2006 the Southern California–Nevada Section of the

John Mackintosh Howie (543 words) [view diff] case mismatch in snippet view article find links to article

Semigroup Theory, Clarendon Press ISBN 0-19-851194-9 MR 1455373 2001: Real Analysis, Springer books ISBN 1-85233-314-6 MR 1826051 2003: Complex Analysis

Bochner integral (2,791 words) [view diff] case mismatch in snippet view article find links to article

Type Integral and the Bourgain Property in a Locally Convex Space". Real Analysis Exchange. 32 (2). Michigan State University Press: 410. Bochner, Salomon

Logarithm (11,674 words) [view diff] exact match in snippet view article find links to article

number not equal to 1 and let f(x) = b x. It is a standard result in real analysis that any continuous strictly monotonic function is bijective between

Hilbert–Schmidt theorem (271 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-387-00444-0. (Theorem 8.94) Royden, Halsey; Fitzpatrick, Patrick (2017). Real Analysis (Fourth ed.). New York: MacMillan. ISBN 978-0134689494. (Section 16

Closed graph theorem (1,921 words) [view diff] case mismatch in snippet view article find links to article

Springer-Verlag. ISBN 3-540-13627-4. OCLC 17499190. Folland, Gerald B. (1984), Real Analysis: Modern Techniques and Their Applications (1st ed.), John Wiley & Sons

Pythagorean trigonometric identity (2,068 words) [view diff] exact match in snippet view article find links to article

ISBN 0-691-04289-6. Krantz, Steven George (2005). "Definition 10.3". Real analysis and foundations (2nd ed.). CRC Press. pp. 269–270. ISBN 1-58488-483-5

Borel isomorphism (200 words) [view diff] case mismatch in snippet view article find links to article

(1988) Borel Spaces from University of Texas Richard M. Dudley (2002) Real Analysis and Probability, 2nd edition, page 487. Sashi Mohan Srivastava (1998)

Charalambos Aliprantis (434 words) [view diff] exact match in snippet view article find links to article

Aliprantis, Charalambos D; Burkinshaw, Owen (1998). Principles of real analysis (Third ed.). Academic. pp. xii+415 pp. ISBN 978-0-12-050257-8. MR 1669668

Rule of inference (7,660 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-77048-113-8. Carlson, Robert (2017). A Concrete Introduction to Real Analysis. CRC Press. ISBN 978-1-4987-7815-2. Carnielli, Walter; Coniglio, Marcelo

Peter Gustav Lejeune Dirichlet (3,599 words) [view diff] exact match in snippet view article find links to article

Mathematik. 4: 157–169. Bressoud, David M. (2007). A radical approach to real analysis. MAA. pp. 218–227. ISBN 978-0-88385-747-2. Lakatos, Imre (1976). Proofs

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Trigonometry, John Wiley & Sons, January 2011. Measure, Integration & Real Analysis (open access, updated 2020), Springer, November 2019. Axler, Sheldon

Möbius strip (9,747 words) [view diff] case mismatch in snippet view article find links to article

2307/1986401. JSTOR 1986401. MR 1500522. Junghenn, Hugo D. (2015). A Course in Real Analysis. Boca Raton, Florida: CRC Press. p. 430. ISBN 978-1-4822-1927-2. MR 3309241

Joseph Schumpeter (8,127 words) [view diff] no match in snippet view article find links to article

credit. One could divide economists among (1) those who emphasized "real" analysis and regarded money as merely a "veil" and (2) those who thought monetary

Nowhere dense set (2,403 words) [view diff] exact match in snippet view article find links to article

a dense set of points with zero derivative". Folland, G. B. (1984). Real analysis: modern techniques and their applications. New York: John Wiley & Sons

Separating set (266 words) [view diff] case mismatch in snippet view article find links to article

Dual system – Dual pair of vector spaces Carothers, N. L. (2000), Real Analysis, Cambridge University Press, pp. 201–204, ISBN 9781139643160. v t e

David Bressoud (934 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-930190-10-8. Bressoud, David (2007). A Radical Approach to Real Analysis (2nd ed.). Washington: Mathematical Association of America. ISBN 978-0-88385-747-2

Classification of discontinuities (3,522 words) [view diff] case mismatch in snippet view article find links to article

Discontinuity". Stromberg, Karl R. (2015). An Introduction to Classical Real Analysis. American Mathematical Society. p. 120. Ex. 3 (c). ISBN 978-1-4704-2544-9

Linearity of differentiation (3,108 words) [view diff] case mismatch in snippet view article find links to article

pp. 259–260, ISBN 9780387954844. Zorn, Paul (2010), Understanding Real Analysis, CRC Press, p. 184, ISBN 9781439894323. Gockenbach, Mark S. (2011),

Instituto Tecnológico Autónomo de México (2,464 words) [view diff] exact match in snippet view article find links to article

in numerical analysis, financial mathematics, stochastic processes, real analysis and dynamic systems applied to the social sciences. Both BSc programs

Existence (13,414 words) [view diff] case mismatch in snippet view article find links to article

Springer. ISBN 978-3-319-18074-8. Johar, Syafiq (2024). The Big Book of Real Analysis: From Numbers to Measures. Springer Nature. ISBN 978-3-031-30832-1.

Differentiable curve (4,813 words) [view diff] case mismatch in snippet view article find links to article

Cameron Byerley; Russell a. Gordon (2007). "Measures of Aberrancy". Real Analysis Exchange. 32 (1). Michigan State University Press: 233. doi:10.14321/realanalexch

Graduate Studies in Mathematics (269 words) [view diff] case mismatch in snippet view article find links to article

Analysis Joan Cerdà 2010 978-0-8218-5115-9 117 An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog Terence Tao 2010 978-0-8218-5278-1

Jaroslav Kurzweil (289 words) [view diff] case mismatch in snippet view article find links to article

Differential Equations: Not Absolutely Continuous Solutions. Series in Real Analysis. 11. World Scientific Publishing Company. ISBN 978-9814324021. Jiří

Alexander Moiseevich Olevskii (583 words) [view diff] case mismatch in snippet view article find links to article

Professor of Mathematics, Tel-Aviv University". REAL ANALYSIS EXCHANGE, Summer Symposium in Real Analysis XXXIX, "The Cows and Colleges Symposium", St.

John von Neumann (23,992 words) [view diff] exact match in snippet view article find links to article

years, von Neumann published several papers related to set-theoretical real analysis and number theory. In a paper from 1925, he proved that for any dense

Alan Frank Beardon (214 words) [view diff] case mismatch in snippet view article find links to article

Geometry, Cambridge University Press, 2005 Limits: A New Approach to Real Analysis, Undergraduate Texts in Mathematics, Springer Verlag, 1997 The geometry

Oklahoma School of Science and Mathematics (3,087 words) [view diff] case mismatch in snippet view article find links to article

Differential Equations, Linear Algebra, Probability and Statistics, Real Analysis, and Complex Analysis. Fine Arts: Jazz Band, Beginning Guitar, Intermediate

Mathematical induction (6,958 words) [view diff] case mismatch in snippet view article find links to article

11–21.) Kolmogorov, Andrey N.; Fomin, Sergei V. (1975). Introductory Real Analysis. Silverman, R. A. (trans., ed.). New York: Dover. ISBN 978-0-486-61226-3

Complete field (891 words) [view diff] exact match in snippet view article find links to article

Learning. pp. 44, 49. ISBN 978-1-111-56962-4. Folland, Gerald B. (1999). Real analysis: modern techniques and their applications (2nd ed.). Chichester Weinheim

Barry Simon (2,162 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Society, Providence RI 2015, ISBN 978-1-4704-1098-8. vol. 1: Real Analysis. vol. 2A: Basic Complex Analysis. vol. 2B: Advanced Complex Analysis

Gaussian process (7,197 words) [view diff] case mismatch in snippet view article find links to article

\ldots ,y(\mathbf {x} ^{(N)}))} is a Gaussian Dudley, R.M. (1989). Real Analysis and Probability. Wadsworth and Brooks/Cole. ISBN 0-534-10050-3. Amos

Misconceptions about the normal distribution (1,557 words) [view diff] case mismatch in snippet view article find links to article

Gary L.; Hall, Eric B. (1993). Counterexamples in Probability and Real Analysis. Oxford University Press. pp. 140–141. ISBN 0-19-507068-2. Stoyanov

Scattered space (713 words) [view diff] exact match in snippet view article find links to article

- Uniqueness of decomposition into perfect set and scattered set". "Real analysis - is Cantor-Bendixson theorem right for a general second countable space

Uniform topology (79 words) [view diff] exact match in snippet view article find links to article

general topology, it is the topology carried by a uniform space. In real analysis, it is the topology of uniform convergence. This disambiguation page

Uniform convergence (5,370 words) [view diff] case mismatch in snippet view article find links to article

Mathematical Analysis, 3rd ed., McGraw–Hill, 1976. Gerald Folland, Real Analysis: Modern Techniques and Their Applications, Second Edition, John Wiley

Bohr–Favard inequality (310 words) [view diff] no match in snippet view article find links to article

The Bohr–Favard inequality is an inequality appearing in a problem of Harald Bohr on the boundedness over the entire real axis of the integral of an almost-periodic

Differential form (10,564 words) [view diff] case mismatch in snippet view article find links to article

1007/978-0-8176-8412-9, ISBN 978-0-8176-8411-2 Folland, Gerald B. (1999), Real Analysis: Modern Techniques and Their Applications (Second ed.), John Wiley &

Bernstein polynomial (4,484 words) [view diff] exact match in snippet view article find links to article

Fundamental Research, pp. 7–8 Goldberg, Richard R. (1964), Methods of real analysis, John Wiley & Sons, pp. 263–265 Caglar, Hakan; Akansu, Ali N. (July

Ekeland's variational principle (2,299 words) [view diff] case mismatch in snippet view article find links to article

1090/S0002-9939-1981-0624927-9. MR 0624927. Ok, Efe (2007). "D: Continuity I". Real Analysis with Economic Applications (PDF). Princeton University Press. p. 664

Exponentiation (13,645 words) [view diff] case mismatch in snippet view article find links to article

28. ISBN 9780470647691. Denlinger, Charles G. (2011). Elements of Real Analysis. Jones and Bartlett. pp. 278–283. ISBN 978-0-7637-7947-4. Tao, Terence

Resolvable space (155 words) [view diff] exact match in snippet view article find links to article

Glossary of topology A.B. Kharazishvili (2006), Strange functions in real analysis, Chapman & Hall/CRC monographs and surveys in pure and applied mathematics

Change of variables (2,691 words) [view diff] exact match in snippet view article find links to article

(Second ed.). Reading: Addison-Wesley. pp. 269–275. Folland, G. B. (1999). Real analysis : modern techniques and their applications (2nd ed.). New York: Wiley

Real TV (Azerbaijani TV channel) (525 words) [view diff] case mismatch in snippet view article

now-defunct ANS TV. It was launched on 15 March 2018 and is owned by Real Analysis Information Center. Real TV is headquartered in the Narimanov raion

Rademacher's theorem (1,317 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-60656-7. MR 0257325. Zbl 0176.00801. Folland, Gerald B. (1999). Real analysis. Modern techniques and their applications. Pure and Applied Mathematics

Charles Jean de la Vallée Poussin (1,387 words) [view diff] exact match in snippet view article find links to article

edition 1912, 1914 by Jacques Gabay, ISBN 2-87647-227-9 (deals only with real analysis). Online: Cours d'analyse infinitésimale, Tome I Cours d'analyse infinitésimale

Arnold Ross (2,457 words) [view diff] case mismatch in snippet view article find links to article

NAP:11240. William C. Bauldry (9 September 2011). Introduction to Real Analysis: An Educational Approach. John Wiley & Sons. p. 46. ISBN 978-1-118-16443-3

Pietro Mengoli (1,200 words) [view diff] case mismatch in snippet view article find links to article

6194–7002. JSTOR 101396. Bauldry, William C. (2011). Introduction to Real Analysis. An Educational Approach. Wiley. p. 122. ISBN 9781118164433. Hofmann

Spectral theory of ordinary differential equations (9,399 words) [view diff] case mismatch in snippet view article find links to article

2307/2372051, JSTOR 2372051 Kolmogorov, A.N.; Fomin, S.V. (1975). Introductory Real Analysis. Dover. ISBN 978-0-486-61226-3. Kostenko, Aleksey; Sakhnovich, Alexander;

Paraconsistent mathematics (235 words) [view diff] exact match in snippet view article find links to article

integration did not. (2) McKubre-Jordens, M. and Weber, Z. (2012). "Real analysis in paraconsistent logic". Journal of Philosophical Logic 41 (5):901–922

Schwarz lantern (2,899 words) [view diff] exact match in snippet view article find links to article

chord. Makarov, Boris; Podkorytov, Anatolii (2013). "Section 8.2.4". Real analysis: measures, integrals and applications. Universitext. Berlin: Springer-Verlag

List of University of Chicago faculty (4,761 words) [view diff] exact match in snippet view article find links to article

logic Norman Steenrod – topologist Marshall Stone – contributed to real analysis, functional analysis, topology, and Boolean algebras; President of the

Dirichlet kernel (2,122 words) [view diff] case mismatch in snippet view article find links to article

Thomson, Brian S. (1997). "15 Fourier Series §15.2 Dirichlet's Kernel". Real Analysis. Prentice-Hall. pp. 619–622. ISBN 0-13-458886-X. Podkorytov, A.N. (1988)

Giulio Ascoli (517 words) [view diff] exact match in snippet view article find links to article

Italian). Available from the website of the. Dshalalow, Jewgeni H. (2001), Real analysis: an introduction to the theory of real functions and integration, Studies

Abdulalim A. Shabazz (586 words) [view diff] case mismatch in snippet view article find links to article

publisher (link) F. Semwogerere and A. Shabazz and F. Abebe (Mar 2006). Real Analysis — A First Course With An Inductive Approach. Victoria/BC: Trafford Publishing

Leibniz integral rule (11,304 words) [view diff] case mismatch in snippet view article find links to article

University Press. p. 10. ISBN 0-521-89697-5. Folland, Gerald (1999). Real Analysis: Modern Techniques and their Applications (2nd ed.). New York: John

Upper topology (352 words) [view diff] case mismatch in snippet view article find links to article

Springer-Verlag. ISBN 978-0-387-90125-1. OCLC 1365153. p.101 Knapp, Anthony W. (2005). Basic Real Analysis. Birkhhauser. p. 481. ISBN 0-8176-3250-6. v t e

Constructive analysis (4,959 words) [view diff] case mismatch in snippet view article find links to article

Ishi Press International. ISBN 4-87187-714-0. Bridger, Mark (2007). Real Analysis: A Constructive Approach. Hoboken: Wiley. ISBN 978-0-471-79230-7.

Hemicontinuity (1,690 words) [view diff] case mismatch in snippet view article find links to article

University Press. pp. 949–951. ISBN 0-19-507340-1. Ok, Efe A. (2007). Real Analysis with Economic Applications. Princeton University Press. pp. 216–226

Peano–Jordan measure (1,391 words) [view diff] exact match in snippet view article find links to article

2307/1968175. ISSN 0003-486X. JSTOR 1968175. Emmanuele DiBenedetto (2002). Real analysis. Basel, Switzerland: Birkhäuser. ISBN 0-8176-4231-5. Richard Courant;

Internal reconstruction (2,885 words) [view diff] exact match in snippet view article find links to article

same as the input. As it happens, the forms as given yield readily to real analysis and so there is no reason to look elsewhere. The first assumption is

Robert Zink (261 words) [view diff] case mismatch in snippet view article find links to article

and Robert E. Zink. “A NOTE ON THE DEFINITION OF AN ORLICZ SPACE.” Real Analysis Exchange, vol. 21, no. 1, 1995, pp. 356–362. JSTOR, www.jstor.org/stable/44153928

Hahn–Banach theorem (12,650 words) [view diff] case mismatch in snippet view article find links to article

Publishing Co., Inc. pp. 5–7. ISBN 981-238-067-1. MR 1921556. Gabriel Nagy, Real Analysis lecture notes Brezis, Haim (2011). Functional Analysis, Sobolev Spaces

Beyond Order (1,517 words) [view diff] exact match in snippet view article find links to article

also said that there was "not much here for women at all" nor any "real analysis of how power operates", and that "the rules are really nothing to argue

Ivar Ekeland (2,267 words) [view diff] case mismatch in snippet view article find links to article

Press. ISBN 978-0-521-38289-2. Ok, Efe (2007). "D: Continuity I" (PDF). Real Analysis with Economic Applications. Princeton University Press. p. 664. ISBN 978-0-691-11768-3

Education Program for Gifted Youth (1,394 words) [view diff] case mismatch in snippet view article find links to article

launched with courses in the Theory of Relativity taught by Gary Oas and Real Analysis taught by Marc Sanders. Building on the success of this first year,

Density on a manifold (1,562 words) [view diff] case mismatch in snippet view article find links to article

Springer-Verlag, ISBN 978-3-540-20062-8. Folland, Gerald B. (1999), Real Analysis: Modern Techniques and Their Applications (Second ed.), ISBN 978-0-471-31716-6

Modes of convergence (964 words) [view diff] exact match in snippet view article find links to article

maps Folland 1999, p. 125. Folland 1999, p. 61. Folland, G. B. (1999). Real analysis: modern techniques and their applications (2nd ed.). New York: Wiley

Simply typed lambda calculus (4,565 words) [view diff] exact match in snippet view article find links to article

seek to provide a foundation for mathematics (Peano arithmetic and real analysis), via model theory. The presentation given above is not the only way

Neville Maxwell (2,508 words) [view diff] exact match in snippet view article find links to article

Report of the Officials, which Maxwell dismisses with a one-liner and no real analysis. Historian Srinath Raghavan, Senior Fellow at the Centre for Policy

Semiring (8,020 words) [view diff] case mismatch in snippet view article find links to article

OCLC 1100115281. Retrieved November 5, 2020. Folland, Gerald B. (1999), Real Analysis: Modern Techniques and Their Applications (2nd ed.), John Wiley & Sons

Andrew M. Gleason (5,396 words) [view diff] exact match in snippet view article find links to article

courses from Hille" including, in his sophomore year, graduate-level real analysis. "Starting with that course with Hille, I began to have some sense of

Stolz–Cesàro theorem (4,268 words) [view diff] case mismatch in snippet view article find links to article

vol. I, Berlin: Springer. A. D. R. Choudary, Constantin Niculescu: Real Analysis on Intervals. Springer, 2014, ISBN 9788132221487, pp. 59-62 J. Marshall

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(Cambridge University Press, 2011) Bass, Richard Franklin (2013) [2011]. Real analysis for graduate students (Second ed.). Createspace Independent Publishing

Ring of sets (1,424 words) [view diff] case mismatch in snippet view article find links to article

OCLC 1100115281. Retrieved November 5, 2020. Folland, Gerald B. (1999). Real Analysis: Modern Techniques and Their Applications (2nd ed.). John Wiley & Sons

Thomae's function (1,595 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-1-4939-5026-3. Bartle, Robert G.; Sherbert, Donald R. (1999). Introduction to Real Analysis (3rd ed.). Wiley. ISBN 978-0-471-32148-4. (Example 5.1.6 (h)) "Dirichlet-function"

Joseph Liberman (180 words) [view diff] exact match in snippet view article find links to article

of the first city Mathematical Olimpiad. He worked in geometry and real analysis. In 1938 he published his first paper. In 1939 he entered graduate school

Minimax (disambiguation) (295 words) [view diff] exact match in snippet view article

the expected cost of algorithms The fundamental max–min inequality of real analysis Saddle point, also known as the minimax point MiniMax (company), Chinese

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89–106. doi:10.1112/plms/s3-19.1.89. Introduction to the methods of real analysis. New York: Holt, Rinehart and Winston. 1968. Theory of semigroup valued

Positive and negative sets (587 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle P.} Set function – Function from sets to numbers Folland, Gerald B (1984). Real Analysis (1st ed.). John Wiley & Sons. p. 81. ISBN 0-471-80958-6.

Kenneth Davidson (mathematician) (231 words) [view diff] case mismatch in snippet view article

Mathematical Society listed him in their inaugural class of fellows. Real Analysis and Applications, with Allan Donsig, Undergraduate Texts in Mathematics

Open and closed maps (5,270 words) [view diff] case mismatch in snippet view article find links to article

maps are not necessarily continuous. Sohrab, Houshang H. (2003). Basic Real Analysis. Springer Science & Business Media. p. 203. ISBN 9780817642112. Now

Symmetric derivative (1,531 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-521-89053-3. A. B. Kharazishvili (2005). Strange Functions in Real Analysis (2nd ed.). CRC Press. p. 34. ISBN 978-1-4200-3484-4. Aull, C. E. (1967)

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2013-02-02. Hurd, Albert E.; Loeb, Peter A. An introduction to nonstandard real analysis. Pure and Applied Mathematics, 118. Academic Press, Inc., Orlando, FL

De Bruijn–Erdős theorem (graph theory) (3,634 words) [view diff] exact match in snippet view article

Hurd, Albert E.; Loeb, Peter A. (1985), An introduction to nonstandard real analysis, Pure and Applied Mathematics, vol. 118, Orlando, FL: Academic Press

Falconer's conjecture (1,108 words) [view diff] case mismatch in snippet view article find links to article

"Dimensions of intersections and distance sets for polyhedral norms", Real Analysis Exchange, 30 (2): 719–726, doi:10.14321/realanalexch.30.2.0719 (inactive