Real and Abstract Analysis

Real and Abstract Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 485
Release :
ISBN-10 : 9783642880445
ISBN-13 : 3642880444
Rating : 4/5 (444 Downloads)

Book Synopsis Real and Abstract Analysis by : E. Hewitt

Download or read book Real and Abstract Analysis written by E. Hewitt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 M athe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].

Real and Abstract Analysis Related Books

Real and Abstract Analysis
Language: en
Pages: 485
Authors: E. Hewitt
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

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 offe
Foundations of Real and Abstract Analysis
Language: en
Pages: 344
Authors: Douglas S. Bridges
Categories:
Type: BOOK - Published: 2014-01-15 - Publisher:

GET EBOOK

Foundations of Abstract Analysis
Language: en
Pages: 756
Authors: Jewgeni H. Dshalalow
Categories: Mathematics
Type: BOOK - Published: 2012-11-09 - Publisher: Springer Science & Business Media

GET EBOOK

Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It i
Introduction to Abstract Analysis
Language: en
Pages: 257
Authors: Marvin E. Goldstein
Categories: Mathematics
Type: BOOK - Published: 2014-10-27 - Publisher: Courier Corporation

GET EBOOK

Concise text prepares readers to pursue abstract analysis in the literature of pure mathematics. Detailed, easy-to-follow proofs and examples illustrate topics
A Course in Abstract Analysis
Language: en
Pages: 385
Authors: John B. Conway
Categories: Mathematics
Type: BOOK - Published: 2012-10-03 - Publisher: American Mathematical Soc.

GET EBOOK

This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core o