Tensors And Riemannian Geometry

Download Tensors And Riemannian Geometry full books in PDF, epub, and Kindle. Read online Tensors And Riemannian Geometry ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Tensors and Riemannian Geometry

Author : Nail H. Ibragimov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110379503
Total Pages : 198 pages
Book Rating : 4.1/5 (13 download)

DOWNLOAD NOW!

Book Synopsis Tensors and Riemannian Geometry by : Nail H. Ibragimov

Download or read book Tensors and Riemannian Geometry written by Nail H. Ibragimov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-31 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.

Differential Geometry and Tensors

Author : K.K. Dube
Publisher : I. K. International Pvt Ltd
ISBN 13 : 9380026587
Total Pages : 377 pages
Book Rating : 4.3/5 (8 download)

DOWNLOAD NOW!

Book Synopsis Differential Geometry and Tensors by : K.K. Dube

Download or read book Differential Geometry and Tensors written by K.K. Dube and published by I. K. International Pvt Ltd. This book was released on 2013-12-30 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study of Tensors. Section A deals with: " Theory of curves, envelopes and developables. " Curves on surfaces and fundamental magnitudes, curvature of surfaces and lines of curvature. " Fundamental equations of surface theory. " Geodesics. Section B deals with: " Tensor algebra. " Tensor calculus. " Christoffel symbols and their properties. " Riemann symbols and Einstein space, and their properties. " Physical components of contravariant and covariant vectors. " Geodesics and Parallelism of vectors. " Differentiable manifolds, charts, atlases.

On the Hypotheses Which Lie at the Bases of Geometry

Author : Bernhard Riemann
Publisher : Birkhäuser
ISBN 13 : 3319260421
Total Pages : 181 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis On the Hypotheses Which Lie at the Bases of Geometry by : Bernhard Riemann

Download or read book On the Hypotheses Which Lie at the Bases of Geometry written by Bernhard Riemann and published by Birkhäuser. This book was released on 2016-04-19 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.

Concepts from Tensor Analysis and Differential Geometry

Author : Tracy Y. Thomas
Publisher : Elsevier
ISBN 13 : 1483263711
Total Pages : 128 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Concepts from Tensor Analysis and Differential Geometry by : Tracy Y. Thomas

Download or read book Concepts from Tensor Analysis and Differential Geometry written by Tracy Y. Thomas and published by Elsevier. This book was released on 2016-06-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.

Manifolds, Tensors and Forms

Author : Paul Renteln
Publisher : Cambridge University Press
ISBN 13 : 1107042194
Total Pages : 343 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Manifolds, Tensors and Forms by : Paul Renteln

Download or read book Manifolds, Tensors and Forms written by Paul Renteln and published by Cambridge University Press. This book was released on 2014 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

Tensors, Differential Forms, and Variational Principles

Author : David Lovelock
Publisher : Courier Corporation
ISBN 13 : 048613198X
Total Pages : 402 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Tensors, Differential Forms, and Variational Principles by : David Lovelock

Download or read book Tensors, Differential Forms, and Variational Principles written by David Lovelock and published by Courier Corporation. This book was released on 2012-04-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Manifolds, Tensor Analysis, and Applications

Author : Ralph Abraham
Publisher : Springer Science & Business Media
ISBN 13 : 1461210291
Total Pages : 666 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Manifolds, Tensor Analysis, and Applications by : Ralph Abraham

Download or read book Manifolds, Tensor Analysis, and Applications written by Ralph Abraham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 666 pages. 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.

Semi-Riemannian Geometry With Applications to Relativity

Author : Barrett O'Neill
Publisher : Academic Press
ISBN 13 : 0080570577
Total Pages : 483 pages
Book Rating : 4.0/5 (85 download)

DOWNLOAD NOW!

Book Synopsis Semi-Riemannian Geometry With Applications to Relativity by : Barrett O'Neill

Download or read book Semi-Riemannian Geometry With Applications to Relativity written by Barrett O'Neill and published by Academic Press. This book was released on 1983-07-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

Tensor Geometry

Author : C. T. J. Dodson
Publisher : Pitman Publishing
ISBN 13 : 9780273010401
Total Pages : 598 pages
Book Rating : 4.0/5 (14 download)

DOWNLOAD NOW!

Book Synopsis Tensor Geometry by : C. T. J. Dodson

Download or read book Tensor Geometry written by C. T. J. Dodson and published by Pitman Publishing. This book was released on 1979 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

Author : Hung Nguyen-Schäfer
Publisher : Springer
ISBN 13 : 3662484978
Total Pages : 389 pages
Book Rating : 4.6/5 (624 download)

DOWNLOAD NOW!

Book Synopsis Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers by : Hung Nguyen-Schäfer

Download or read book Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers written by Hung Nguyen-Schäfer and published by Springer. This book was released on 2016-08-16 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation • Tensor Analysis • Elementary Differential Geometry • Differential Forms • Applications of Tensors and Differential Geometry • Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.

Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor

Author : Peter B. Gilkey
Publisher : World Scientific
ISBN 13 : 9812799699
Total Pages : 316 pages
Book Rating : 4.8/5 (127 download)

DOWNLOAD NOW!

Book Synopsis Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor by : Peter B. Gilkey

Download or read book Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor written by Peter B. Gilkey and published by World Scientific. This book was released on 2001 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor is in general quite difficult to deal with. This book presents results about the geometric consequences that follow if various natural operators defined in terms of the Riemann curvature tensor (the Jacobi operator, the skew-symmetric curvature operator, the Szabo operator, and higher order generalizations) are assumed to have constant eigenvalues or constant Jordan normal form in the appropriate domains of definition. The book presents algebraic preliminaries and various Schur type problems; deals with the skew-symmetric curvature operator in the real and complex settings and provides the classification of algebraic curvature tensors whose skew-symmetric curvature has constant rank 2 and constant eigenvalues; discusses the Jacobi operator and a higher order generalization and gives a unified treatment of the Osserman conjecture and related questions; and establishes the results from algebraic topology that are necessary for controlling the eigenvalue structures. An extensive bibliography is provided. Results are described in the Riemannian, Lorentzian, and higher signature settings, and many families of examples are displayed. Contents: Algebraic Curvature Tensors; The Skew-Symmetric Curvature Operator; The Jacobi Operator; Controlling the Eigenvalue Structure. Readership: Researchers and graduate students in geometry and topology.

Tensor Analysis on Manifolds

Author : Richard L. Bishop
Publisher : Courier Corporation
ISBN 13 : 0486139239
Total Pages : 290 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Tensor Analysis on Manifolds by : Richard L. Bishop

Download or read book Tensor Analysis on Manifolds written by Richard L. Bishop and published by Courier Corporation. This book was released on 2012-04-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Riemannian Manifolds

Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 0387227261
Total Pages : 232 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Riemannian Manifolds by : John M. Lee

Download or read book Riemannian Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Tensor and Vector Analysis

Author : C. E. Springer
Publisher : Courier Corporation
ISBN 13 : 048632091X
Total Pages : 258 pages
Book Rating : 4.4/5 (863 download)

DOWNLOAD NOW!

Book Synopsis Tensor and Vector Analysis by : C. E. Springer

Download or read book Tensor and Vector Analysis written by C. E. Springer and published by Courier Corporation. This book was released on 2013-09-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

An Introduction to Riemannian Geometry

Author : Leonor Godinho
Publisher : Springer
ISBN 13 : 3319086669
Total Pages : 476 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Riemannian Geometry by : Leonor Godinho

Download or read book An Introduction to Riemannian Geometry written by Leonor Godinho and published by Springer. This book was released on 2014-07-26 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.

Tensors and Their Applications

Author : Nazrul Islam
Publisher : New Age International
ISBN 13 : 8122418384
Total Pages : 6 pages
Book Rating : 4.1/5 (224 download)

DOWNLOAD NOW!

Book Synopsis Tensors and Their Applications by : Nazrul Islam

Download or read book Tensors and Their Applications written by Nazrul Islam and published by New Age International. This book was released on 2006-12 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book Is Written Is In Easy-To-Read Style With Corresponding Examples. The Main Aim Of This Book Is To Precisely Explain The Fundamentals Of Tensors And Their Applications To Mechanics, Elasticity, Theory Of Relativity, Electromagnetic, Riemannian Geometry And Many Other Disciplines Of Science And Engineering, In A Lucid Manner. The Text Has Been Explained Section Wise, Every Concept Has Been Narrated In The Form Of Definition, Examples And Questions Related To The Concept Taught. The Overall Package Of The Book Is Highly Useful And Interesting For The People Associated With The Field.

Riemannian Geometry

Author : Peter Petersen
Publisher : Springer Science & Business Media
ISBN 13 : 1475764340
Total Pages : 443 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Riemannian Geometry by : Peter Petersen

Download or read book Riemannian Geometry written by Peter Petersen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialise in Riemannian geometry. Instead of variational techniques, the author uses a unique approach, emphasising distance functions and special co-ordinate systems. He also uses standard calculus with some techniques from differential equations to provide a more elementary route. Many chapters contain material typically found in specialised texts, never before published in a single source. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research - including sections on convergence and compactness of families of manifolds. Thus, this book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject.