Differential Forms

Differential Forms, 2nd Edition

Theory and Practice

Differential Forms, 2nd Edition,ISBN9780123944030

Academic Press




229 X 152

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.

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Key Features

  • 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


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, 2nd 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.


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

Differential Forms, 2nd Edition

  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

Quotes and reviews

"…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, Differential Forms, Second Edition
Second Edition

"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

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