Tensors, Differential Forms, and Variational Principles

Author: David Lovelock
Publisher: Courier Corporation
ISBN: 048613198X
Category : Mathematics
Languages : en
Pages : 402

Book Description
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.

Tensors, Differential Forms, and Variational Principles

Author: David Lovelock
Publisher: Courier Corporation
ISBN: 0486658406
Category : Mathematics
Languages : sr
Pages : 402

Tensor Analysis on Manifolds

Author: Richard L. Bishop
Publisher: Courier Corporation
ISBN: 0486139239
Category : Mathematics
Languages : en
Pages : 290

Book Description
DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Manifolds, Tensors and Forms

Author: Paul Renteln
Publisher: Cambridge University Press
ISBN: 1107042194
Category : Mathematics
Languages : en
Pages : 343

Book Description
Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

Vector and Tensor Analysis with Applications

Author: A. I. Borisenko
Publisher: Courier Corporation
ISBN: 0486131904
Category : Mathematics
Languages : en
Pages : 292

Book Description
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.

Differential Geometry

Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 0486318621
Category : Mathematics
Languages : en
Pages : 384

Book Description
An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.

Differential Forms

Author: Steven H. Weintraub
Publisher: Elsevier
ISBN: 0123946174
Category : Mathematics
Languages : en
Pages : 409

Book Description
Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, Second Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice. - Provides a solid theoretical basis of how to develop and apply differential forms to real research problems - Includes computational methods to enable the reader to effectively use differential forms - Introduces theoretical concepts in an accessible manner

Tensor Calculus

Author: J. L. Synge
Publisher: Courier Corporation
ISBN: 048614139X
Category : Mathematics
Languages : en
Pages : 340

Book Description
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.

The Variational Principles of Mechanics

Author: Lánczos Kornél
Publisher:
ISBN:
Category :
Languages : en
Pages : 307

Book Description

Gauge Theory and Variational Principles

Author: David Bleecker
Publisher: Courier Corporation
ISBN: 0486445461
Category : Science
Languages : en
Pages : 202

Book Description
This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.