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Multivariable Calculus by Jerry Shurman
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About this book :-
Multivariable Calculus written by
Jerry Shurman , this text is for a two-semester multivariable calculus course. The setting is n-dimensional Euclidean space, with the material on differentiation culminating in the Inverse Function Theorem and its consequences, and the material on integration culminating in the Generalized Fundamental Theorem of Integral Calculus (often called Stokes’s Theorem) and some of its consequences in turn. The prerequisite is a proof-based course in one-variable calculus. Some familiarity with the complex number system and complex mappings is occasionally assumed as well, but the reader can get by without it.
The book’s aim is to use multivariable calculus to teach mathematics as a blend of reasoning, computing, and problem-solving, doing justice to the structure, the details, and the scope of the ideas.
Book Detail :-
Title: Multivariable Calculus
Edition:
Author(s): Jerry Shurman
Publisher:
Series:
Year: 2011
Pages: 499
Type: PDF
Language: English
ISBN:
Country: Portland
About Author :-
The author George Abbott Osborne (1839-1927) is Professor in the Department of Mathematics, Reed College, Portland.
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Book Contents :-
Multivariable Calculus written by
Jerry Shurman
cover the following topics.
Preface
1. Results from One-Variable Calculus
Part-I Multivariable Differential Calculus
2. Euclidean Space
3. Linear Mappings and Their Matrices
4. The Derivative
5. Inverse and Implicit Functions
Part-II Multivariable Integral Calculus
6. Integration
7. Approximation by Smooth Functions
8. Parametrized Curves
9. Integration of Differential Forms
Index
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