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Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds, 1st Edition

ISBN: 978-0-471-52638-4

January 2004

512 pages

Description
Multivariable Mathematics combines linear algebra and multivariable calculus in a rigorous approach. The material is integrated to emphasize the role of linearity in all of calculus and the recurring theme of implicit versus explicit that persists in linear algebra and analysis.  In the text, the author addresses all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible and also including complete proofs.  By emphasizing the theoretical aspects and reviewing the linear algebra material quickly, the book can also be used as a text for an advanced calculus or multivariable analysis course culminating in a treatment of manifolds, differential forms, and the generalized Stokes’s Theorem.
About the Author

Theodore Shifrin is the author of Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds, published by Wiley.

Features
Key Features:
  •  Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts.
  • Includes numerous exercises of varying levels of difficulty, both computational and more proof-oriented.
  • Exercises are arranged in order of increasing difficulty.