Manifolds, Tensors and Forms Poznań

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 …

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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.

Specyfikacja

Podstawowe informacje

Autor
  • Paul Renteln
Rok wydania
  • 2014
Okładka
  • Twarda
Ilość stron
  • 340
ISBN
  • 9781107042193
Wybrane wydawnictwa
  • Cambridge University Press

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Ocena ogólna
5 na podstawie 1 opinia