Problems and Theorems in Analysis Series · Integral Calculus · Theory of Functions

Problems and Theorems in Analysis Series · Integral Calculus · Theory of Functions / by Georg Polya, Gabor Szegö.

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...

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Bibliographic Details
Main Authors: Polya, Georg (Author), Szegö, Gabor (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1972.
Edition:1st ed. 1972.
Series:Springer Study Edition,
Springer eBook Collection.
Subjects:
Functions of real variables.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • One Infinite Series and Infinite Sequences
  • 1 Operations with Power Series
  • 2 Linear Transformations of Series. A Theorem of Cesàro
  • 3 The Structure of Real Sequences and Series
  • 4 Miscellaneous Problems
  • Two Integration
  • 1 The Integral as the Limit of a Sum of Rectangles
  • 2 Inequalities
  • 3 Some Properties of Real Functions
  • 4 Various Types of Equidistribution
  • 5 Functions of Large Numbers
  • Three Functions of One Complex Variable. General Part
  • 1 Complex Numbers and Number Sequences
  • 2 Mappings and Vector Fields
  • 3 Some Geometrical Aspects of Complex Variables
  • 4 Cauchy’s Theorem The Argument Principle
  • 5 Sequences of Analytic Functions
  • 6 The Maximum Principle
  • Author Inde
  • Subject Inde.

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