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Differential Forms
Theory and Practice
Put the theory into practice with this informative and accessible reference that teaches you how differential forms can be used as a powerful computational tool in analyzing and solving research problems
Steven H. Weintraub (Author)
9780123944030, Elsevier Science
Hardback, published 2 April 2014
408 pages
22.9 x 15.1 x 2.7 cm, 0.68 kg
"…a very nice book…covers things at a more leisurely pace, with many examples...would go a long way toward making the subject more popular and accessible." --SIAM Review "This is a rigorous and well-written treatment of differential forms with a careful and detailed progression from very basic notions." --MAA.org, 24-Sep-14
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.
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
Subject Areas: Applied mathematics [PBW], Differential calculus & equations [PBKJ], Calculus & mathematical analysis [PBK]
