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Author:   Steven H. Weintraub (Lehigh University, Bethlehem, PA, USA)
Publisher:   Elsevier Science Publishing Co Inc
Imprint:   Academic Press Inc
Dimensions:   Width: 15.20cm , Height: 1.80cm , Length: 22.90cm
Weight:   0.540kg
ISBN:  

9780127425108

ISBN 10:   0127425101
Pages:   272
Publication Date:   21 August 1996
Audience:   College/higher education ,  Tertiary & Higher Education
Replaced By:   9780123944030
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

Differential Forms The Algrebra of Differential Forms Exterior Differentiation The Fundamental Correspondence Oriented Manifolds The Notion Of A Manifold (With Boundary) Orientation Differential Forms Revisited l-Forms K-Forms Push-Forwards And Pull-Backs Integration Of Differential Forms Over Oriented Manifolds The Integral Of A 0-Form Over A Point (Evaluation) The Integral Of A 1-Form Over A Curve (Line Integrals) The Integral Of A2-Form Over A Surface (Flux Integrals) The Integral Of A 3-Form Over A Solid Body (Volume Integrals) Integration Via Pull-Backs The Generalized Stokes' Theorem Statement Of The Theorem The Fundamental Theorem Of Calculus And Its Analog For Line Integrals Green's And Stokes' Theorems Gauss's Theorem Proof of the GST For The Advanced Reader Differential Forms In IRN And Poincare's Lemma Manifolds, Tangent Vectors, And Orientations The Basics of De Rham Cohomology Appendix Answers To Exercises Subject Index

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Author Information

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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