Tensors, Differential Forms, and Variational Principles

Tensors, Differential Forms, and Variational Principles PDF 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.

Vector and Tensor Analysis with Applications

Vector and Tensor Analysis with Applications PDF 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.

Tensor Analysis on Manifolds

Tensor Analysis on Manifolds PDF 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

Differential Geometry

Differential Geometry PDF 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.

Applied Exterior Calculus

Applied Exterior Calculus PDF Author: Dominic G. B. Edelen
Publisher: Courier Corporation
ISBN: 0486438716
Category : Mathematics
Languages : en
Pages : 530

Book Description
This text begins with the essentials, advancing to applications and studies of physical disciplines, including classical and irreversible thermodynamics, electrodynamics, and the theory of gauge fields. Geared toward advanced undergraduates and graduate students, it develops most of the theory and requires only a familiarity with upper-division algebra and mathematical analysis. "Essential." — SciTech Book News. 1985 edition.

Tensor Methods in Statistics

Tensor Methods in Statistics PDF Author: Peter McCullagh
Publisher: Courier Dover Publications
ISBN: 0486832694
Category : Mathematics
Languages : en
Pages : 308

Book Description
A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.

Differential Forms

Differential Forms PDF 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

Calculus of Variations

Calculus of Variations PDF Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486135012
Category : Mathematics
Languages : en
Pages : 260

Book Description
Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
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