Problems and theorems in analysis

by Polya, George

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Title Statements

Full title :Problems and theorems in analysis / George Pólya, Gabor Szegö ; [translator, Dorothee Aeppli].

Summary

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).

Edition Statements

Publication Date:<1998>

Publication Statements

Publisher(s):Springer
Place of Publication:Berlin
Language:eng
Publication Date:<1998>

Notes

Vol. 2 translated by C.E. Billigheimer.

"Reprint of the 1978 edition [i.e. the corrected printing of the 1972 ed.]."

"Reprint of the 1976 edition'--T.p., v. 2.

Rev. and enl. translation of: Aufgaben und Lehrsätze aus der Analysis. 4th ed. 1970.

Vol. 1 originally published as v. 193 of the Ergebnisse der Mathematik und ihrer Grenzgebiete; v. 2 originally published as v. 216 of the Ergebnisse der Mathematik und ihrer Grenzgebiete.

The Physical Object

Description:1 online resource (volumes <2>.).

Edition Identifiers

ISBN:3540636404, 9783540636403, 3540636862, 9783540636861, 9783642619830, 3642619835, 9783642619052, 3642619053
DOI:10.1007/978-3-642-61905-2
oclc:ocn828775974
LC Classification:QA299.6-433
Dewey Decimal:515/.076

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.