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.
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.
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
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 Louisiana State University. He received his Ph.D. from Princeton University, and has been at LSU since that time, with temporary leaves to UCLA, Rutgers, Oxford, Yale, Gottingen, Bayreuth, and Hannover (Germany).Professor Weintraub is a member of the American Mathematical Society and a former member of the Council of the AMS. He has written more than 40 research papers and two other books: a graduate algebra book and a reserach monograph.
"…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
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