Tensor Analysis on Manifolds

Author: Richard L. Bishop
Publisher: Courier Corporation
ISBN: 0486139239
Format: PDF, ePub
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DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Tensor Analysis on Manifolds

Author: Richard L. Bishop
Publisher: Courier Corporation
ISBN: 0486640396
Format: PDF, ePub, Docs
Download Now
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.

Tensor Analysis on Manifolds

Author: Richard L. Bishop
Publisher: Courier Corporation
ISBN: 9780486640396
Format: PDF, Mobi
Download Now
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.

Tensors Differential Forms and Variational Principles

Author: David Lovelock
Publisher: Courier Corporation
ISBN: 048613198X
Format: PDF, ePub
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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.

Vector and Tensor Analysis with Applications

Author: A. I. Borisenko
Publisher: Courier Corporation
ISBN: 0486131904
Format: PDF, ePub, Docs
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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.

Manifolds Tensor Analysis and Applications

Author: Ralph Abraham
Publisher: Springer Science & Business Media
ISBN: 1461210291
Format: PDF, ePub
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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.

Manifolds Tensors and Forms

Author: Paul Renteln
Publisher: Cambridge University Press
ISBN: 1107042194
Format: PDF
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Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

Tensor Calculus

Author: J. L. Synge
Publisher: Courier Corporation
ISBN: 048614139X
Format: PDF, Docs
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Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.

Analysis and Algebra on Differentiable Manifolds

Author: Pedro M. Gadea
Publisher: Springer Science & Business Media
ISBN: 9400759525
Format: PDF, ePub, Docs
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This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra.

Applications of Tensor Analysis

Author: A J McConnell
Publisher:
ISBN: 9781614276890
Format: PDF, ePub, Mobi
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2014 Reprint of 1957 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. Formerly entitled "Applications of the Absolute Differential Calculus," this work applies tensorial methods to subjects within the realm of advanced college mathematics. In four major divisions, it explains the fundamental ideas and notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity and hydrodynamics.