WorldCat Identities

Hewitt, Edwin 1920-

Overview
Works: 46 works in 317 publications in 5 languages and 3,242 library holdings
Genres: History 
Roles: Author, Editor, Translator, Annotator
Classifications: QA331.5, 517.52
Publication Timeline
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Most widely held works by Edwin Hewitt
Real and abstract analysis : a modern treatment of the theory of functions of a real variable by Edwin Hewitt( Book )

76 editions published between 1965 and 2009 in 4 languages and held by 1,233 WorldCat member libraries worldwide

This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of Mathe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964]
Abstract harmonic analysis by Edwin Hewitt( Book )

52 editions published between 1958 and 1997 in 5 languages and held by 951 WorldCat member libraries worldwide

Theory of functions of a real variable by Edwin Hewitt( Book )

10 editions published in 1960 in English and Undetermined and held by 209 WorldCat member libraries worldwide

Abstract harmonic analysis by Edwin Hewitt( Book )

50 editions published between 1963 and 1994 in 3 languages and held by 170 WorldCat member libraries worldwide

When we accepted the kind invitation of Prof. Dr. F.K. SCHMIDT to write a monograph on abstract harmonie analysis for the Grundlehren der Mathematischen Wissenschaften series, we intended to write aH that we could find out about the subject in a text of about 600 printed pages. We intended that our book should be accessible to beginners, and we hoped to make it useful to specialists as weH. These aims proved to be mutuaHy inconsistent. Hence the present volume comprises only half of the projected work. It gives all of the structure of topologie al groups needed for harmonie analysis as it is known to us; it treats integration on locaHy compact groups in detail; it contains an introduction to the theory of group representations. In the second volume we will treat harmonie analysis on compact groups and locally compact Abelian groups, in considerable detail. The book is based on courses given by E. HEWlTT at the University of Washington and the University of Uppsala, although naturally the material of these courses has been enormously expanded to meet the needs of a formal monograph. Like the other treatments of harmonie analysis that have appeared since 1940, the book is a lineal descendant of A. WEIL'S fundamental treatise (WEIL r 4J) 1. The debt of all workers in the field to WEIL'S work is weH known and enormous
Abstract harmonic analysis by Edwin Hewitt( Book )

30 editions published between 1970 and 1997 in 3 languages and held by 133 WorldCat member libraries worldwide

This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject ... in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography ... the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae
Theory of functions of a real variable (Teoria functsiy veshchestvennoy peremennoy) by I. P Natanson( Book )

17 editions published between 1955 and 1964 in English and held by 53 WorldCat member libraries worldwide

Topics in Fourier analysis : lectures 1958-1959 by Edwin Hewitt( Book )

3 editions published in 1959 in English and held by 36 WorldCat member libraries worldwide

Some aspects of analysis and probability( Book )

5 editions published in 1958 in English and held by 32 WorldCat member libraries worldwide

Theory of group representations by M. A Naĭmark( Book )

3 editions published in 1982 in English and held by 31 WorldCat member libraries worldwide

Elements of the theory of representations by A. A Kirillov( Book )

5 editions published in 1976 in English and German and held by 27 WorldCat member libraries worldwide

The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator should never forget that he is not a creator, but only a mirror. His own viewpoints, his own preferences, should never lead him into altering the original, even with the best intentions. Only an occasional translator's note is permitted. The undersigned is grateful for the opportunity of translating Professor Kirillov's fine book on group representations, and hopes that it will bring to the English-reading mathematical public as much instruction and interest as it has brought to the translator. Deviations from the Russian text have been rigorously avoided, except for a number of corrections kindly supplied by Professor Kirillov. Misprints and an occasional solecism have been tacitly taken care of. The trans lation is in all essential respects faithful to the original Russian. The translator records his gratitude to Linda Sax, who typed the entire translation, to Laura Larsson, who prepared the bibliography (considerably modified from the original), and to Betty Underhill, who rendered essential assistance
Structure of topological groups. Integration theory. Group representations by Edwin Hewitt( Book )

7 editions published between 1963 and 1994 in English and Undetermined and held by 23 WorldCat member libraries worldwide

The theory of functions of a complex variable by Edwin Hewitt( Book )

2 editions published in 1960 in English and held by 19 WorldCat member libraries worldwide

Structure and analysis for compact groups, analysis on locally compact Abelian groups by Edwin Hewitt( Book )

7 editions published between 1970 and 1997 in English and Undetermined and held by 19 WorldCat member libraries worldwide

Topics in Fourier analysis by Edwin Hewitt( Book )

6 editions published in 1959 in English and Undetermined and held by 16 WorldCat member libraries worldwide

Theory of functions of a real variable (Teoria functsiy veshchestvennoy peremennoy, chapters I, To. IX) Vol. 1 by I. P Natanson( Book )

1 edition published in 1961 in English and held by 13 WorldCat member libraries worldwide

Introduction to the theory of analytic functions of several complex variables by B. A Fuks( Book )

1 edition published in 1963 in English and held by 8 WorldCat member libraries worldwide

Learning higher mathematics by L. S Pontri︠a︡gin( Book )

3 editions published in 1984 in English and held by 7 WorldCat member libraries worldwide

Enthält: Teil 1: The method of coordinates. Teil 2: Analysis of the ifinitely small
Operations analysis in the Eighth Air Force, 1942-1945 : four contemporary accounts by Leslie, H Arps( Book )

1 edition published in 1997 in English and held by 7 WorldCat member libraries worldwide

Abstraktnyj garmoničeskij analiz by Edwin Hewitt( Book )

5 editions published in 1975 in Russian and held by 5 WorldCat member libraries worldwide

Abstract harmonic analysis : analysis on locally compact abelian groups by Edwin Hewitt( Book )

2 editions published in 1970 in English and held by 5 WorldCat member libraries worldwide

 
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Audience Level
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Audience level: 0.58 (from 0.42 for Operations ... to 0.98 for Abstract h ...)

Abstract harmonic analysisAbstract harmonic analysisStructure and analysis for compact groups, analysis on locally compact Abelian groups
Alternative Names
Ch'juitt, E. 1920-1999

Edwin Hewitt American mathematician

Edwin Hewitt Amerikaans wiskundige (1920-1999)

Edwin Hewitt amerikansk matematikar

Edwin Hewitt amerikansk matematiker

Edwin Hewitt US-amerikanischer Mathematiker

Hewitt, Edwin

H'ûitt, È.

Хьюитт, Э..

Хьюитт, Э 1920-

Хьюитт, Э. (Эдвин), 1920-

Languages
English (243)

German (22)

Russian (12)

Chinese (2)

Japanese (1)

Covers
Abstract harmonic analysisAbstract harmonic analysisAbstract harmonic analysisStructure of topological groups. Integration theory. Group representationsStructure and analysis for compact groups, analysis on locally compact Abelian groups