Problems and Theorems in Analysis I Series. Integral Calculus. Theory of Functions

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

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 mathem...

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Bibliographic Details
Main Authors: Polya, George (Author), Szegö, Gabor (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Classics in Mathematics,
Springer eBook Collection.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
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 Index.

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