Differential Forms

Theory and Practice

By

  • Steven Weintraub, Lehigh University, Bethlehem, PA, USA

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.
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Audience

<P/>Pure and applied mathematicians, physicists, and engineers; Graduate&nbsp;students and advanced undergraduates in these fields<P/>

 

Book information

  • Published: February 2014
  • Imprint: ACADEMIC PRESS
  • ISBN: 978-0-12-394403-0

Reviews

"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



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