Springer Study Edition Springer Study Edition Polya,G.:Problems,Theorems (closed)

Problems and Theorems in Analysis

Series · Integral Calculus · Theory of Functions

Authors: Polya, Georg, Szegö, Gabor

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  • ISBN 978-1-4757-1640-5
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Softcover $99.99
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  • ISBN 978-0-387-90224-1
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About this Textbook

The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1924. We have restricted ourselves to supplementing the topics originally chosen. Some of our problems first published in this work have given rise to extensive research. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space. We have to thank many readers who, since the publication of this work almost fifty years ago, communicated to us various remarks on it, some of which have been incorporated into this edition. We have not listed their names; we have forgotten the origin of some contributions, and an incomplete list would have been even less desirable than no list. The first volume has been translated by Mrs. Dorothee Aeppli, the second volume by Professor Claude Billigheimer. We wish to express our warmest thanks to both for the unselfish devotion and scrupulous conscientiousness with which they attacked their far from easy task.

Table of contents (15 chapters)

  • Operations with Power Series

    Pólya, George (et al.)

    Pages 1-15

  • Linear Transformations of Series. A Theorem of Cesàro

    Pólya, George (et al.)

    Pages 15-23

  • The Structure of Real Sequences and Series

    Pólya, George (et al.)

    Pages 23-32

  • Miscellaneous Problems

    Pólya, George (et al.)

    Pages 32-45

  • The Integral as the Limit of a Sum of Rectangles

    Pólya, George (et al.)

    Pages 46-62

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-1-4757-1640-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-0-387-90224-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Problems and Theorems in Analysis
Book Subtitle
Series · Integral Calculus · Theory of Functions
Authors
Translated by
Aeppli, D.
Series Title
Springer Study Edition
Copyright
1972
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-1-4757-1640-5
DOI
10.1007/978-1-4757-1640-5
Softcover ISBN
978-0-387-90224-1
Series ISSN
0172-6234
Edition Number
1
Number of Pages
XIX, 392
Number of Illustrations and Tables
1 b/w illustrations
Additional Information
Originally published as Band 193 of the series: Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen
Topics