Manifolds, Tensors, and Forms

An Introduction for Mathematicians and Physicists

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics
Cover of the book Manifolds, Tensors, and Forms by Paul Renteln, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Paul Renteln ISBN: 9781107703131
Publisher: Cambridge University Press Publication: November 21, 2013
Imprint: Cambridge University Press Language: English
Author: Paul Renteln
ISBN: 9781107703131
Publisher: Cambridge University Press
Publication: November 21, 2013
Imprint: Cambridge University Press
Language: English

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. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at www.cambridge.org/9781107042193.

More books from Cambridge University Press

Cover of the book The Cambridge Companion to Bertrand Russell by Paul Renteln
Cover of the book Ocean of Trade by Paul Renteln
Cover of the book Cities and the Shaping of Memory in the Ancient Near East by Paul Renteln
Cover of the book The Territorial Peace by Paul Renteln
Cover of the book 21st Century Guidebook to Fungi by Paul Renteln
Cover of the book Catalan Numbers by Paul Renteln
Cover of the book Aquinas's Disputed Questions on Evil by Paul Renteln
Cover of the book Ecology in Action by Paul Renteln
Cover of the book Race and Citizen Identity in the Classical Athenian Democracy by Paul Renteln
Cover of the book The Institutionalist Movement in American Economics, 1918–1947 by Paul Renteln
Cover of the book Modernism and the Social Sciences by Paul Renteln
Cover of the book The Languages of Native North America by Paul Renteln
Cover of the book Comparative Religious Law by Paul Renteln
Cover of the book The Origins of the Shī'a by Paul Renteln
Cover of the book Public Debt as a Form of Public Finance by Paul Renteln
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy