Items related to Intermediate Mathematical Analysis

Intermediate Mathematical Analysis - Softcover

Thurston, Hugh

 
9780198532927: Intermediate Mathematical Analysis
Softcover
ISBN 10: 019853292X ISBN 13: 9780198532927
Publisher: Clarendon Press, 1988

Synopsis

This textbook provides an introduction to the theory of the differentiation and integration of functions of several variables, covering informal explanations of many of the proofs of results as well as the classical theory of the subject. There are exercises and problems which aim to enable the reader to gain both an understanding of and confidence in the subject as well as an intuitive feel for the main themes. The text also aims to provide a useful bridge between the elementary calculus of one variable and the theory of functions in abstract space. The reader is introduced to key concepts such as the composition of functions of several variables, compactness, uniform continuity and connectivity. The author develops the theory of differentiation (including Taylor's theorem, Lagrange's multipliers, the implicit function theorem and inverse function theorem) and integration (including iterated integration, improper integrals and the change of variable theorem for integrals). The book concludes with an indication of how the subject may be further developed.

"synopsis" may belong to another edition of this title.

Synopsis

This textbook provides an introduction to the theory of the differentiation and integration of functions of several variables, covering informal explanations of many of the proofs of results as well as the classical theory of the subject. There are exercises and problems which aim to enable the reader to gain both an understanding of and confidence in the subject as well as an intuitive feel for the main themes. The text also aims to provide a useful bridge between the elementary calculus of one variable and the theory of functions in abstract space. The reader is introduced to key concepts such as the composition of functions of several variables, compactness, uniform continuity and connectivity. The author develops the theory of differentiation (including Taylor's theorem, Lagrange's multipliers, the implicit function theorem and inverse function theorem) and integration (including iterated integration, improper integrals and the change of variable theorem for integrals). The book concludes with an indication of how the subject may be further developed.

"About this title" may belong to another edition of this title.

Publisher
Clarendon Press
Publication date
1988
Language
English
ISBN 10 
019853292X
ISBN 13 
9780198532927
Binding
Paperback
Number of pages
172