Manifolds, Tensors and Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Manifolds, Tensors and Forms write by Paul Renteln. This book was released on 2014. Manifolds, Tensors and Forms available in PDF, EPUB and Kindle. Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.
Manifolds, Tensors, and Forms
Manifolds, Tensors, and Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Manifolds, Tensors, and Forms write by Paul Renteln. This book was released on 2013-11-21. Manifolds, Tensors, and Forms available in PDF, EPUB and Kindle. 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.
Manifolds, Tensor Analysis, and Applications
Manifolds, Tensor Analysis, and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Manifolds, Tensor Analysis, and Applications write by Ralph Abraham. This book was released on 2012-12-06. Manifolds, Tensor Analysis, and Applications available in PDF, EPUB and Kindle. The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.
Tensors, Differential Forms, and Variational Principles
Tensors, Differential Forms, and Variational Principles - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensors, Differential Forms, and Variational Principles write by David Lovelock. This book was released on 2012-04-20. Tensors, Differential Forms, and Variational Principles available in PDF, EPUB and Kindle. Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Tensor Analysis on Manifolds
Tensor Analysis on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor Analysis on Manifolds write by Richard L. Bishop. This book was released on 2012-04-26. Tensor Analysis on Manifolds available in PDF, EPUB and Kindle. DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
