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.
Rezensionen / Stimmen
"...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
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für höhere Schule und Studium
Pure and applied mathematicians, physicists, and engineers; Graduate students and advanced undergraduates in these fields
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-394403-0 (9780123944030)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
Autor*in
Lehigh University, Bethlehem, PA, USA
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
