Tensors Differential Forms and Variational Principles

Author: David Lovelock
Publisher: Courier Corporation
ISBN: 9780486131986
Release Date: 2012-04-20
Genre: Mathematics

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.

Cartesian Tensors

Author: George Frederick James Temple
Publisher: Courier Corporation
ISBN: 0486439089
Release Date: 2004-09-01
Genre: Mathematics

An introduction to the theory of Cartesian tensors, this text notes the importance of the analysis of the structure of tensors in terms of spectral sets of projection operators as part of the very substance of quantum theory. Covers isotropic tensors and spinor analysis within the confines of Euclidean space; and tensors in orthogonal curvilinear coordinates. Examples. 1960 edition.

Gauge Theory and Variational Principles

Author: David Bleecker
Publisher: Courier Corporation
ISBN: 9780486151878
Release Date: 2013-01-18
Genre: Science

Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition

The World of Mathematics

Author: James Roy Newman
Publisher: Courier Corporation
ISBN: 0486411508
Release Date: 2000
Genre: Mathematics

Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by eminent mathematicians, economists, scientists, and others.

An Introduction to Mathematical Modeling

Author: Edward A. Bender
Publisher: Courier Corporation
ISBN: 9780486137124
Release Date: 2012-05-23
Genre: Mathematics

Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

The Variational Principles of Mechanics

Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 9780486134703
Release Date: 2012-04-24
Genre: Science

Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.

Introduction to Linear Algebra

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 0486656950
Release Date: 1965
Genre: Mathematics

Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises — with worked-out solutions — a complete theory of permutations and much more.

Stability by Fixed Point Theory for Functional Differential Equations

Author: Theodore Allen Burton
Publisher: Courier Corporation
ISBN: UOM:39015079255546
Release Date: 2006
Genre: Mathematics

This is the first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques. Suitable for advanced undergraduates and graduate students, it contains an extensive collection of new and classical examples, all worked in detail and presented in an elementary manner. 2006 edition.

Algebra

Author: Larry C. Grove
Publisher: Courier Dover Publications
ISBN: 048643947X
Release Date: 2004-11-16
Genre: Art

This graduate-level text is intended for initial courses in algebra that proceed at a faster pace than undergraduate-level courses. Exercises appear throughout the text, clarifying concepts as they arise; additional exercises, varying widely in difficulty, are included at the ends of the chapters. Subjects include groups, rings, fields and Galois theory. 1983 edition. Includes 11 figures. Appendix. References. Index.

Mathematical Foundations of Elasticity

Author: Jerrold E. Marsden
Publisher: Courier Corporation
ISBN: 9780486142272
Release Date: 2012-10-25
Genre: Technology & Engineering

Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Theory of technical change and economic invariance

Author: Ryūzō Satō
Publisher:
ISBN: 0126194602
Release Date: 1981
Genre: Business & Economics

An overview; Holotheticity of a technology; A theory of endogenous technical progress; "G - neutral" technical change, comparative statics, and integrability conditions; Holotheticity of an implicit technology; Self-dual preferences and technologies laws; A lie group approach to the index number problems; The group structure and the theory of observable market behavior.