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Problems and Theorems in Analysis I

Series. Integral Calculus. Theory of Functions

  • George Pólya
  • Gabor Szegö

Part of the Classics in Mathematics book series (volume 193)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Infinite Series and Infinite Sequences

    1. George Pólya, Gabor Szegö
      Pages 1-15
    2. George Pólya, Gabor Szegö
      Pages 15-23
    3. George Pólya, Gabor Szegö
      Pages 23-32
    4. George Pólya, Gabor Szegö
      Pages 32-45
  3. Integration

    1. George Pólya, Gabor Szegö
      Pages 46-62
    2. George Pólya, Gabor Szegö
      Pages 62-75
    3. George Pólya, Gabor Szegö
      Pages 75-84
    4. George Pólya, Gabor Szegö
      Pages 85-95
    5. George Pólya, Gabor Szegö
      Pages 95-102
  4. Functions of One Complex Variable General Part

    1. George Pólya, Gabor Szegö
      Pages 103-113
    2. George Pólya, Gabor Szegö
      Pages 113-124
    3. George Pólya, Gabor Szegö
      Pages 125-132
    4. George Pólya, Gabor Szegö
      Pages 133-145
    5. George Pólya, Gabor Szegö
      Pages 145-157
    6. George Pólya, Gabor Szegö
      Pages 157-172
  5. Solutions

    1. George Pólya, Gabor Szegö
      Pages 173-229
    2. George Pólya, Gabor Szegö
      Pages 230-296
    3. George Pólya, Gabor Szegö
      Pages 297-384
  6. Back Matter
    Pages 385-393

About this book

Introduction

From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many extraordinary problems and sequences of problems, mostly from some time past, well worth attention today and tomorrow. Written in the early twenties by two young mathematicians of outstanding talent, taste, breadth, perception, perseverence, and pedagogical skill, this work broke new ground in the teaching of mathematics and how to do mathematical research. (Bulletin of the American Mathematical Society)

Keywords

analysis analytic function convergence differential equation distribution integral integration logarithm maximum minimum theory of functions

Authors and affiliations

  • George Pólya
    • 1
  • Gabor Szegö
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61983-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63640-3
  • Online ISBN 978-3-642-61983-0
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site