Differential Forms - Steven H. Weintraub

Differential Forms

Theory and Practice
Buch | Hardcover
408 Seiten
2014 | 2nd edition
Academic Press Inc (Verlag)
978-0-12-394403-0 (ISBN)
109,70 inkl. MwSt
Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.
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.

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

Erscheint lt. Verlag 2.4.2014
Verlagsort San Diego
Sprache englisch
Maße 152 x 229 mm
Gewicht 680 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Technik Elektrotechnik / Energietechnik
ISBN-10 0-12-394403-1 / 0123944031
ISBN-13 978-0-12-394403-0 / 9780123944030
Zustand Neuware
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