Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds, International Edition

by Theodore Shifrin

Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes 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 includes complete proofs. aeo Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. aeo Numerous exercises of varying levels of difficulty, both computational and more proof--oriented. aeo Exercises are arranged in order of increasing difficulty.

Genres: Mathematics, Science

504 pages, Hardcover

First published January 1, 2004

Reviews

[C. Hinsley · Rating 4 out of 5]

This was an excellent introduction to advanced calculus; reading this made it much easier to get through Spivak's Calculus on Manifolds. Of particular interest is Chapter 8, on differential forms. The chapter works up to the Generalized Stokes' Theorem.

The exercises throughout this text are very good, and many have solutions in the book.

[Yunjiang Jiang · Rating 5 out of 5]

Best introduction to multivariate calculus.