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Working Analysis - Jeffery Cooper

Hardcover

Published: 1st August 2004
Ships: 7 to 10 business days
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The text is for a two semester course in advanced calculus. It develops the basic ideas of calculus rigorously but with an eye to showing how mathematics connects with other areas of science and engineering. In particular, effective numerical computation is developed as an important aspect of mathematical analysis.
* Maintains a rigorous presentation of the main ideas of advanced calculus, interspersed with applications that show how to analyze real problems
* Includes a wide range of examples and exercises drawn from mechanics, biology, chemical engineering and economics
* Describes links to numerical analysis and provides opportunities for computation; some MATLAB
codes are available on the author's webpage
* Enhanced by an informal and lively writing style

"This is a solid, well-written advanced calculus book that deserves to be on the shelves of mathematics department offices when faculty are selecting course resources." -J. Feroe, Vassar College, in CHOICE, JUNE 2005 "...this textbook is based on a very healthy philosophy that it is easier to learn mathematical analysis when it is intertwined with meaningful applications. The book is fun to read and, I am sure, will be fun to learn from." -Victor Roytburd, Rensselaer Polytechnic Institute, in SIAM REVIEW "In my opinion the book by Cooper is a viable competitor to Strichartz...To summarize, this textbook is based on a very healthy philosophy that it is easier to learn mathematical analysis when it is intertwined with meaningful applications. The book is fun to read and, I am sure, will be fun to learn from." - Victor Roytburd, Rensselaer Polytechnic Institute

Preface
Foundations
Sequences of Real Numbers
Continuity
The Derivative
Higher Derivatives and Polynomial Approximation
Solving Equations in One Dimension
Integration
Series
Appendix I
Convergence and Continuity in Rn
The Derivative in Rn
Solving Systems of Equations
Quadratic Approximation and Optimization
Constrained Optimization
Integration in Rn
Applications of Integration to Differential Equations
Appendix II
Solutions to Selected Exercises
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780121876043
ISBN-10: 0121876047
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 688
Published: 1st August 2004
Publisher: ACADEMIC PR INC
Country of Publication: US
Dimensions (cm): 23.52 x 15.24  x 2.85
Weight (kg): 0.91