Paperback. A second-year calculus text, this volume is devoted primarily to topics in multidimensional analysis. Concepts and methods are emphasized, and rigorous proofs are sometimes replaced by relevant discussion and explanation. Because of the author's conviction that the differential provides a most elegant and useful tool, especially in a multidimensional setting, the notion of the differential is used extensively and matrix methods are stressed in the study of linear transformations. The first three chapters offer introductory material on functions and variables, differentials, and vectors in the plane. Succeeding chapters examine topics in linear algebra, partial derivatives, and applications as well as topics in vector differential calculus. The final chapters explore multiple integrals in addition to line and surface integrals. Exercises appear throughout the text, and answers are provided, making the book ideal for self-study. AUTHOR: M. E. Munroe was a Professor of Mathematics at the University of New Hampshire. Second-year calculus text, devoted primarily to topics in multidimensional analysis, emphasizes concepts and methods. The notion of the differential is used extensively, and matrix methods are stressed. Exercises with solutions. 1963 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Modern Multidimensional Calculus (Paperback)
Publisher: Dover Publications Inc., New York
Publication Date: 2019
Language: English
ISBN 10: 0486834026
ISBN 13: 9780486834023
Binding: Paperback
Condition: new

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Synopsis

A second-year calculus text, this volume is devoted primarily to topics in multidimensional analysis. Concepts and methods are emphasized, and rigorous proofs are sometimes replaced by relevant discussion and explanation. Because of the author's conviction that the differential provides a most elegant and useful tool, especially in a multidimensional setting, the notion of the differential is used extensively and matrix methods are stressed in the study of linear transformations.
The first three chapters offer introductory material on functions and variables, differentials, and vectors in the plane. Succeeding chapters examine topics in linear algebra, partial derivatives, and applications as well as topics in vector differential calculus. The final chapters explore multiple integrals in addition to line and surface integrals. Exercises appear throughout the text, and answers are provided, making the book ideal for self-study.

About the Author

M. E. Munroe was a Professor of Mathematics at the University of New Hampshire.

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