Paul Renteln (San Bernardino California State University)

Manifolds, Tensors, and Forms

• Gebundenes Buch

Produktbeschreibung

Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 342
• Erscheinungstermin: 19. April 2017
• Englisch
• Abmessung: 250mm x 175mm x 23mm
• Gewicht: 830g
• ISBN-13: 9781107042193
• ISBN-10: 1107042194
• Artikelnr.: 38612723

Autorenporträt

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.

Inhaltsangabe

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.