• Principles of Mathematical Analysis, colloquially known as PMA or Baby Rudin, is an undergraduate real analysis textbook written by Walter Rudin. Initially...
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    (1781–1848) Rudin, Walter (1976). Principles of Mathematical Analysis. Walter Rudin Student Series in Advanced Mathematics (3rd ed.). McGraw–Hill. ISBN 978-0070542358...
    45 KB (4,391 words) - 00:05, 30 July 2025
  • Walter Rudin (category American mathematical analysts)
    mathematical analysis textbooks: Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis. Rudin wrote Principles of Mathematical...
    14 KB (1,245 words) - 06:52, 29 July 2025
  • Littlewood's three principles of real analysis are heuristics of J. E. Littlewood to help teach the essentials of measure theory in mathematical analysis. Littlewood...
    3 KB (329 words) - 08:29, 29 October 2023
  • The Principles of Mathematics (PoM) is a 1903 book by Bertrand Russell, in which the author presented his famous paradox and argued his thesis that mathematics...
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  • In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular...
    49 KB (7,670 words) - 19:52, 25 June 2025
  • names to facilitate using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as e and π occurring...
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  • In mathematics, Darboux's theorem is a theorem in real analysis, named after Jean Gaston Darboux. It states that every function that results from the differentiation...
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    The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function. It is sometimes...
    59 KB (7,151 words) - 19:30, 2 August 2025
  • Poly(methyl acrylate), a synthetic acrylate polymer Principles of Mathematical Analysis, a real analysis textbook Progressive muscular atrophy, a neurodegenerative...
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  • Intervals are ubiquitous in mathematical analysis. For example, they occur implicitly in the epsilon-delta definition of continuity; the intermediate...
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  • Understanding Analysis. Undergraduate Texts in Mathematics. New York: Springer Verlag. ISBN 0-387-95060-5. Rudin, Walter (1976). Principles of Mathematical Analysis...
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  • Conditional convergence (category Series (mathematics))
    smaller areas each time. Absolute convergence Unconditional convergence Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964)....
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  • \{x\}} as a topological subspace). Rudin, Walter (1976). Principles of Mathematical Analysis. McGraw-Hill. ISBN 0-07-054235-X. Munkres, James R. (2000)...
    11 KB (1,852 words) - 09:41, 13 March 2025
  • Operator algebra List of operators Rudin, Walter (1976). "Chapter 9: Functions of several variables". Principles of Mathematical Analysis (3rd ed.). McGraw-Hill...
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  • In mathematics, constructive analysis is mathematical analysis done according to some principles of constructive mathematics. The name of the subject contrasts...
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    Fundamentals of Real Analysis. CRC Press. ISBN 9780824784539. Retrieved 23 May 2014. Rudin, Walter (1976). Principles of Mathematical Analysis. McGraw-Hill...
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  • Q.E.D. (category Mathematical proofs)
    (1987). Real and Complex Analysis. McGraw-Hill. ISBN 0-07-100276-6. Rudin, Walter (1976). Principles of Mathematical Analysis. New York: McGraw-Hill. ISBN 0-07-054235-X...
    11 KB (1,198 words) - 11:45, 28 June 2025
  • Walter (1976). Principles of Mathematical Analysis. McGraw-Hill. p. 183. ISBN 978-0-07-054235-8. Rudin, Walter (1986). Real and complex analysis. McGraw-Hill...
    148 KB (17,241 words) - 16:02, 24 July 2025
  • Math 55 (category Mathematics education in the United States)
    Math 55 and Math 25 have also selected Rudin's Principles of Mathematical Analysis, Ahlfors' Complex Analysis, Spivak's Calculus on Manifolds, Axler's Linear...
    23 KB (2,346 words) - 12:48, 3 July 2025
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    Walter (1976). Principles of mathematical analysis. McGraw-Hill. ISBN 0-07-054235-X. Edwards, C. H. (1994). Advanced Calculus of Several Variables. Mineola...
    32 KB (4,666 words) - 03:08, 30 July 2025
  • Highlights". The College Mathematics. 33 (2): 147–154. JSTOR 2687124.. Rudin, Walter (1964). Principles of mathematical analysis. McGraw-Hill. Sutherland...
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  • In mathematical analysis, the alternating series test proves that an alternating series is convergent when its terms decrease monotonically in absolute...
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    Algebra. American Mathematical Soc. p. 19. ISBN 978-0-8218-4741-1. Rudin, Walter (January 1, 1976). Principles of Mathematical Analysis (3rd ed.). McGraw-Hill...
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  • of Pure Mathematics, Ninth edition, Cambridge University Press, 1946. (pp. 379–380). Rudin, Walter (1976) [1953]. Principles of mathematical analysis...
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    Springer. ISBN 978-1-493-92711-1. Rudin, Walter (1976). Principles of Mathematical Analysis (3rd ed.). McGraw Hill. ISBN 978-0-070-54235-8. Spivak, Michael...
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    Uniform norm (category Functional analysis)
    In mathematical analysis, the uniform norm (or sup norm) assigns, to real- or complex-valued bounded functions ⁠ f {\displaystyle f} ⁠ defined on a set...
    8 KB (1,269 words) - 06:57, 27 December 2024
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    Uniform convergence (category Series (mathematics))
    the mathematical field of analysis, uniform convergence is a mode of convergence of functions stronger than pointwise convergence. A sequence of functions...
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    comprehensive course. Dover. ISBN 0-486-65812-0. Rudin, Walter (1976). Principles of Mathematical Analysis. New York: McGraw-Hill. ISBN 0-07-054235-X....
    35 KB (5,287 words) - 02:03, 31 July 2025
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    Symbols of Set Theory and Logic". Rudin, Walter (1976). Principles of Mathematical Analysis (3rd ed.). McGraw-Hill. p. 300. ISBN 007054235X. "Unicode...
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