Differential forms : theory and practice
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Bibliographic Information
Differential forms : theory and practice
Elsevier, 2014
2nd ed
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Includes index
Description and Table of Contents
Description
Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, Second Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice.
Table of Contents
1. Differential Forms in R n , I 2. Differential Forms in R n , II 3. Push-forwards and Pull-backs in R n 4. Smooth Manifolds 5. Vector Bundles and the Global Point of View 6. Integration of Differential Forms 7. The Generalized Stokes's Theorem 8. de Rham Cohomology
by "Nielsen BookData"