Problems and Theorems in Analysis I

Series. Integral Calculus. Theory of Functions

George Polya, Gabor Szego

390 pages, parution le 01/01/1998

Ajouter à une liste

Indisponible

Résumé

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)

Contents

Infinite Series and Infinite Sequences.

Operations with Power Series.
Linear Transformations of Series. A Theorem of Cesàro.
The Structure of Real Sequences and Series.
Miscellaneous Problems.

Integration.

The Integral as the Limit of a Sum of Rectangles.
Inequalities.
Some Properties of Real Functions.
Various Types of Equidistribution.
Functions of Large Numbers.

Functions of One Complex Variable. General Part.

Complex Numbers and Number Sequences.
Mappings and Vector Fields.
Some Geometrical Aspects of Complex Variables.
Cauchy's Theorem. The Argument Principle.
Sequences of Analytic Functions.
The Maximum Principle.

Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	George Polya, Gabor Szego
Parution	01/01/1998
Nb. de pages	390
Format	15,5 x 23,5
Couverture	Broché
Poids	630g
Intérieur	Noir et Blanc
EAN13	9783540636403