Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0925.00005
Rudin, Walter
Real and complex analysis. 3rd ed. (English)
[B] New York, NY: McGraw-Hill. xiv, 416 p. \$ 44.95 (1987). ISBN 0-07-054234-1

For the reviews of the first two editions (1966, 1974) see Zbl 0142.01701 and Zbl 0278.26001.\par According to the preface: This third edition contains an entirely new chapter on differentiation. The basic facts about differentiation are now derived from the existence of the Lebesgue points which in turn is an easy consequence of the so-called weak type inequality that is satisfied by the maximal functions of measures on Euclidean spaces. This approach yields strong theorems with minimal effort. Even more important is that it familiarizes students with maximal functions, since these have become increasingly useful in several areas of analysis.\par Also large parts of Chapters 11 and 17 were rewritten and simplified. Several smaller changes have been made in order to improve certain details.

MSC 2000:: *00A05 General mathematics
26-01 Textbooks (real functions)
30-01 Textbooks (functions of one complex variable)
46-01 Textbooks (functional analysis)

Keywords: abstract integration; Lebesgue integration; differentiation; Banach spaces; Hilbert spaces; Fourier transforms; holomorphic functions; Banach algebras; conformal mappings; Hausdorff's maximality theorem; selected problems

Citations: Zbl 0142.01701; Zbl 0278.26001

Cited in: Zbl 1200.62002 Zbl 1034.31006 Zbl 1039.28001 Zbl 1038.00002 Zbl 1147.26300 Zbl 0925.00003

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]