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

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

Steven H. Weintraub is a Professor of Mathematics at Lehigh University. He received his Ph.D. from Princeton University, spent many years at Louisiana State University, and has been at Lehigh since 2001. He has visited UCLA, Rutgers, Oxford, Yale, Gottingen, Bayreuth, and Hannover. Professor Weintraub is a member of the American Mathematical Society and currently serves as an Associate Secretary of the AMS. He has written more than 50 research papers on a wide variety of mathematical subjects, and ten other books.

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