This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many applications, and the interplay between algebra and geometry. It takes a concrete, example-oriented approach to the subject matter.

Abstract Algebra: A Geometric Approach

Reference

Shifrin, Theodore

Words, Language & Grammar

Pearson

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.

Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds

Science & Math

Mathematics

wiley

Multivariable Mathematics, Instructor's Solution Manual: Linear Algebra, Multivariable Calculus, and Manifolds

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Books by Shifrin, Theodore