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Author : Richard L. Bishop
Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 239/5 ( reviews)
Book Synopsis Tensor Analysis on Manifolds by : Richard L. Bishop
Download or read book Tensor Analysis on Manifolds written by Richard L. Bishop. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
Author : Richard L. Bishop
Release : 1980-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)
Book Synopsis Tensor Analysis on Manifolds by : Richard L. Bishop
Download or read book Tensor Analysis on Manifolds written by Richard L. Bishop. This book was released on 1980-12-01. Available in PDF, EPUB and Kindle. Book excerpt: Striking just the right balance between formal and abstract approaches, this text proceeds from generalities to specifics. Topics include function-theoretical and algebraic aspects, manifolds and integration theory, several important structures, and adaptation to classical mechanics. "First-rate. . . deserves to be widely read." — American Mathematical Monthly. 1980 edition.
Author : Richard Lawrence Bishop
Release : 1968
Genre : Calculus of tensors
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Tensor Analysis on Manifolds by : Richard Lawrence Bishop
Download or read book Tensor Analysis on Manifolds written by Richard Lawrence Bishop. This book was released on 1968. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph Abraham
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 291/5 ( reviews)
Book Synopsis Manifolds, Tensor Analysis, and Applications by : Ralph Abraham
Download or read book Manifolds, Tensor Analysis, and Applications written by Ralph Abraham. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : A. I. Borisenko
Release : 2012-08-28
Genre : Mathematics
Kind : eBook
Book Rating : 904/5 ( reviews)
Book Synopsis Vector and Tensor Analysis with Applications by : A. I. Borisenko
Download or read book Vector and Tensor Analysis with Applications written by A. I. Borisenko. This book was released on 2012-08-28. Available in PDF, EPUB and Kindle. Book excerpt: Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
