Calculus in Vector Spaces, Revised Expanded

Informationen zum Autor Corwin, Lawrence Klappentext Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful. Zusammenfassung Addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This title introduces the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space. Inhaltsverzeichnis 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.

Product details

• Authors: Lawrence Corwin, Lawrence (Rutgers University) Szczarba Corwin, Robert Szczarba
• Assisted by: Zuhair Nashed (Editor of the series), Earl Taft (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 08.12.1994
• EAN: 9780824792794
• ISBN: 978-0-8247-9279-4
• No. of pages: 604
• Series: Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / Mathematical Analysis, MATHEMATICS / Number Theory, Number Theory, Calculus & mathematical analysis, Calculus and mathematical analysis