Elementary Real and Complex Analysis
Language: English
Published by The MIT Press, Cambridge MA, 1973
- Hardcover
- Used
Seller: Row By Row Bookshop, Sugar Grove, NC, U.S.A.Row By Row Bookshop
AbeBooks seller since May 17, 1998
Condition: Used - Good
US$ 40.00
Quantity: 1 available
Add to basketItem description from seller
An ex-library copy in original blue cloth lettered in silver. The usual ex-libris markings. The binding is sound, the text is clean/unmarked, and there is little cover wear. No dust jacket.
Seller Inventory # 064561
- Title
- Elementary Real and Complex Analysis
- Author
- Shilov, Georgi E. (Richard A. Silverman, editor/translator)
- Publisher
- The MIT Press, Cambridge MA
- Publication year
- 1973
- Condition
- Good
- Dust jacket
- No Dust Jacket
- Book Type
- Book
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0262191091
- ISBN 13
- 9780262191098
- Edition
- Revised Edition.
The book fully proves over 340 theorems and probably includes more examples and applications than any comparable text. It is organized into eleven chapters, each of which incorporates a problem set designed to illustrate, amplify, and enrich the material covered (selected hints and answers are given at the end).
The starting point of the development is a set of axioms for real numbers (rather than a set of axioms for the natural numbers, as in some other approaches to the subject). The concepts next introduced include, roughly in their order of appearance, set theory, isomorphisms, n-dimensional space, and the field of complex numbers; metric spaces; a general theory of limits that comprises all those considered in analysis, from limits of a numerical sequence to the notions of the derivative and integral; continuous numerical functions on the real line, including the logarithmic, exponential, and the trigonometric functions; the algebra and topology of complex numbers and the fundamental theorem of algebra; infinite series, dealing not only with numerical series but also with those whose terms are vectors and functions (including power series); the differential calculus proper, with Taylor's series leading to a natural extension of real analysis into the complex domain; the general theory of Riemann integration; and, finally, the technique of analytic functions and a consideration of improper integrals that makes full use of the technique that has now been put at the student's disposal.
"Synopsis" may belong to another edition of this title.
Language Notes
Original Language: Russian
"About the title" may belong to another edition of this title.
Row By Row Bookshop
Sugar Grove, NC, U.S.A.
AbeBooks seller since May 17, 1998
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