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Differential Forms: Theory and Practice

Autor Steven H. Weintraub
en Limba Engleză Hardback – apr 2014
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.

  • Provides a solid theoretical basis of how to develop and apply differential forms to real research problems
  • Includes computational methods to enable the reader to effectively use differential forms
  • Introduces theoretical concepts in an accessible manner
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Specificații

ISBN-13: 9780123944030
ISBN-10: 0123944031
Pagini: 408
Ilustrații: black & white illustrations, black & white line drawings, graphs
Dimensiuni: 152 x 229 x 23 mm
Greutate: 0.68 kg
Ediția:2 Rev ed.
Editura: ELSEVIER SCIENCE

Public țintă

Pure and applied mathematicians, physicists, and engineers; Graduate students and advanced undergraduates in these fields

Cuprins

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

Recenzii

"…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