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Author: David Lovelock Publisher: Courier Corporation ISBN: 048613198X Category : Mathematics Languages : en Pages : 400
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.
Author: David Lovelock Publisher: Courier Corporation ISBN: 048613198X Category : Mathematics Languages : en Pages : 400
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.
Author: Wolfgang Yourgrau Publisher: Courier Corporation ISBN: 0486151131 Category : Science Languages : en Pages : 224
Book Description
DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author: A. I. Borisenko Publisher: Courier Corporation ISBN: 0486131904 Category : Mathematics Languages : en Pages : 288
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.
Author: Rutherford Aris Publisher: Courier Corporation ISBN: 048613489X Category : Mathematics Languages : en Pages : 320
Book Description
Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.
Author: Bernard F. Schutz Publisher: Cambridge University Press ISBN: 1107268141 Category : Science Languages : en Pages : 272
Book Description
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
Author: M. A. Akivis Publisher: Courier Corporation ISBN: 0486148785 Category : Mathematics Languages : en Pages : 192
Book Description
Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.
Author: Bernard F. Schutz Publisher: Cambridge University Press ISBN: 9780521298872 Category : Mathematics Languages : en Pages : 272
Book Description
For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.
Author: William L. Burke Publisher: Cambridge University Press ISBN: 9780521269292 Category : Mathematics Languages : en Pages : 440
Book Description
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.
Author: David Lovelock
Author: David Lovelock
Author: Wolfgang Yourgrau
Author: A. I. Borisenko
Author: Richard L. Bishop
Author: Rutherford Aris
Author: Bernard F. Schutz
Author: M. A. Akivis
Author: Derek Frank Lawden
Author: Bernard F. Schutz
Author: William L. Burke