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Introduction to Analysis by Maxwell Rosenlicht at Abbey's Bookshop,
Introduction to Analysis
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Maxwell Rosenlicht

Introduction to Analysis

Maxwell Rosenlicht

$42.95

Paperback

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English
Dover
01 February 1985
Mathematics & Sciences; Calculus & mathematical analysis
Series: Dover Books on Mathema 1.4tics
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.

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.
By:  
Imprint:   Dover
Country of Publication:   United States
Edition:   New edition
Dimensions:   Height: 214mm,  Width: 136mm,  Spine: 14mm
Weight:   281g
ISBN:   9780486650388
ISBN 10:   0486650383
Series:   Dover Books on Mathema 1.4tics
Pages:   272
Publication Date:  
Audience:   College/higher education ,  A / AS level
Format:   Paperback
Publisher's Status:   Active

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