Vector and Tensor Analysis with Applications
Title | Vector and Tensor Analysis with Applications PDF eBook |
Author | A. I. Borisenko |
Publisher | Courier Corporation |
Pages | 292 |
Release | 2012-08-28 |
Genre | Mathematics |
ISBN | 0486131904 |
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.
Vector and Tensor Analysis with Applications
Title | Vector and Tensor Analysis with Applications PDF eBook |
Author | Aleksandr Ivanovich Borisenko |
Publisher | Courier Corporation |
Pages | 292 |
Release | 1968-01-01 |
Genre | Mathematics |
ISBN | 9780486638331 |
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.
Tensor and Vector Analysis
Title | Tensor and Vector Analysis PDF eBook |
Author | C. E. Springer |
Publisher | Courier Corporation |
Pages | 258 |
Release | 2013-09-26 |
Genre | Mathematics |
ISBN | 048632091X |
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.
Vector and Tensor Analysis
Title | Vector and Tensor Analysis PDF eBook |
Author | Louis Brand |
Publisher | |
Pages | 472 |
Release | 1947 |
Genre | Calculus of tensors |
ISBN |
Introduction to Vector and Tensor Analysis
Title | Introduction to Vector and Tensor Analysis PDF eBook |
Author | Robert C. Wrede |
Publisher | Courier Corporation |
Pages | 436 |
Release | 2013-01-30 |
Genre | Mathematics |
ISBN | 0486137112 |
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
Tensor Analysis on Manifolds
Title | Tensor Analysis on Manifolds PDF eBook |
Author | Richard L. Bishop |
Publisher | Courier Corporation |
Pages | 290 |
Release | 2012-04-26 |
Genre | Mathematics |
ISBN | 0486139239 |
DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
Manifolds, Tensor Analysis, and Applications
Title | Manifolds, Tensor Analysis, and Applications PDF eBook |
Author | Ralph Abraham |
Publisher | Springer Science & Business Media |
Pages | 666 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461210291 |
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.