Manifolds, Tensors, and Forms - An Introduction for Mathematicians and Physicists

Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

List of contents

Preface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.

About the author

Paul Renteln is Professor of Physics in the Department of Physics, California State University, San Bernardino, where he has taught a wide range of courses in physics. He is also Visiting Associate in the Department of Mathematics, California Institute of Technology, where he conducts research into combinatorics.

Product details

• Authors: Paul Renteln, Paul (California State University Renteln, Renteln Paul
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 21.11.2013
• EAN: 9781107042193
• ISBN: 978-1-107-04219-3
• No. of pages: 340
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Miscellaneous; SCIENCE / Physics / Mathematical & Computational, Physics, Topology, Mathematical physics, Mathematics & science, Differential and Riemannian geometry