By Paul Renteln

ISBN-10: 1107042194

ISBN-13: 9781107042193

Offering a succinct but entire therapy of the necessities of recent differential geometry and topology, this book's transparent prose and casual sort make it available to complicated undergraduate and graduate scholars in arithmetic and the actual sciences. The textual content covers the fundamentals of multilinear algebra, differentiation and integration on manifolds, Lie teams and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and measure conception. It additionally beneficial properties over 250 particular workouts, and quite a few functions revealing basic connections to classical mechanics, electromagnetism (including circuit theory), common relativity and gauge concept. suggestions to the issues can be found for teachers at www.cambridge.org/9781107042193