Calculus in Vector Spaces, Revised Expanded

Lawrence Corwin, Robert Szczarba (Yale University), Robert Szczarba (Yale University) , Earl Taft

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English

Routledge
08 December 1994

Mathematics & Sciences; Number theory; Calculus & mathematical analysis

Series: Chapman & Hall/CRC Pure and Applied Mathematics

Addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition: introduces the derivative as a linear transformation; presents linear algebra in a concrete context based on complementary ideas in calculus; explains differential forms on Euclidean space permitting Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting; and more. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful. College and university bookstores may order five or more copies at a special student price which is available upon request to Marcel Dekker Inc.

By: Lawrence Corwin, Robert Szczarba (Yale University), Robert Szczarba (Yale University)
Series edited by: Earl Taft
Imprint: Routledge
Country of Publication: United States
Edition: 2nd edition
Volume: 189
Dimensions: Height: 229mm, Width: 152mm, Spine: 38mm
Weight: 839g
ISBN: 9780824792794
ISBN 10: 0824792793
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Pages: 604
Publication Date: 08 December 1994
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

Some Preliminaries. Vector Spaces. The Derivative. The Structure of Vector Spaces. Compact and Connected Sets. The Chain Rule, Higher Derivatives, and Taylor's Theorem. Linear Transformations and Matrices. Maxima and Minima. The Inverse and Implicit Function Theorems. The Spectral Theorem. Integration. Iterated Integrals and the Fubini Theorem. Line Integrals. Surface Integrals. Differential Forms. Integration of Differential Forms. Appendices: the existence of determinants, Jordan canonical form, solutions of selected exercises.

Corwin, Lawrence