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Einführung in die Analyse von Rosenlicht, Maxwell-
by Rosenlicht, Maxwell | PB | Acceptable
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Standort: Aurora, Illinois, USA
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eBay-Artikelnr.:144760573431
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- Artikelzustand
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- Hinweise des Verkäufers
- Binding
- Paperback
- Book Title
- Introduction to Analysis
- Weight
- 0 lbs
- Product Group
- Book
- IsTextBook
- Yes
- ISBN
- 9780486650388
Über dieses Produkt
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486650383
ISBN-13
9780486650388
eBay Product ID (ePID)
127375355
Product Key Features
Number of Pages
272 Pages
Language
English
Publication Name
Introduction to Analysis
Subject
Calculus, Logic, Mathematical Analysis
Publication Year
1985
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.5 in
Item Weight
11.2 Oz
Item Length
8.5 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
85-025300
Dewey Edition
19
Illustrated
Yes
Dewey Decimal
515
Edition Description
Reprint,New Edition
Synopsis
This well-written text provides excellent instruction in basic real analysis, giving a solid foundation for direct entry into advanced work in such fields as complex analysis, differential equations, integration theory, and general topology. The nominal prerequisite is a year of calculus, but actually nothing is assumed other than the axioms of the real number system. Because of its clarity, simplicity of exposition, and stress on easier examples, this material is accessible to a wide range of students, of both mathematics and other fields. Chapter headings include notions from set theory, the real number system, metric spaces, continuous functions, differentiation, Riemann integration, interchange of limit operations, the method of successive approximations, partial differentiation, and multiple integrals. Following some introductory material on very basic set theory and the deduction of the most important properties of the real number system from its axioms, Professor Rosenlicht gets to the heart of the book: a rigorous and carefully presented discussion of metric spaces and continuous functions, including such topics as open and closed sets, limits and continuity, and convergent sequence of points and of functions. Subsequent chapters cover smoothly and efficiently the relevant aspects of elementary calculus together with several somewhat more advanced subjects, such as multivariable calculus and existence theorems. The exercises include both easy problems and more difficult ones, interesting examples and counter examples, and a number of more advanced results. Introduction to Analysis lends itself to a one- or two-quarter or one-semester course at the undergraduate level. It grew out of a course given at Berkeley since 1960. Refinement through extensive classroom use and the author's pedagogical experience and expertise make it an unusually accessible introductory text., Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition., Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. Rigorous and carefully presented, the text assumes a year of calculus and features problems at the end of each chapter. 1968 edition.
LC Classification Number
QA300.R63
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