Tensors Differential Forms And Variational Principles PDF Download
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Author | : David Lovelock |
Publisher | : Courier Corporation |
Total Pages | : 400 |
Release | : 2012-04-20 |
Genre | : Mathematics |
ISBN | : 048613198X |
Download Tensors, Differential Forms, and Variational Principles Book in PDF, ePub and Kindle
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 | : Richard L. Bishop |
Publisher | : Courier Corporation |
Total Pages | : 288 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 0486139239 |
Download Tensor Analysis on Manifolds Book in PDF, ePub and Kindle
DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div
Author | : Wolfgang Yourgrau |
Publisher | : Courier Corporation |
Total Pages | : 222 |
Release | : 1979-01-01 |
Genre | : Science |
ISBN | : 9780486637730 |
Download Variational Principles in Dynamics and Quantum Theory Book in PDF, ePub and Kindle
Historical, theoretical survey with many insights, much hard-to-find material. Covers Hamilton's principle, Hamilton-Jacobi equation, relationship to quantum theory and wave mechanics, and more.
Author | : A. I. Borisenko |
Publisher | : Courier Corporation |
Total Pages | : 288 |
Release | : 2012-08-28 |
Genre | : Mathematics |
ISBN | : 0486131904 |
Download Vector and Tensor Analysis with Applications Book in PDF, ePub and Kindle
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 |
Total Pages | : 320 |
Release | : 2012-08-28 |
Genre | : Mathematics |
ISBN | : 048613489X |
Download Vectors, Tensors and the Basic Equations of Fluid Mechanics Book in PDF, ePub and Kindle
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 | : Cornelius Lanczos |
Publisher | : |
Total Pages | : 0 |
Release | : 1970 |
Genre | : Dynamics |
ISBN | : |
Download The Variational Principles of Mechanics Book in PDF, ePub and Kindle
Author | : Bernard F. Schutz |
Publisher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 1980-01-28 |
Genre | : Science |
ISBN | : 1107268141 |
Download Geometrical Methods of Mathematical Physics Book in PDF, ePub and Kindle
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 | : James G. Simmonds |
Publisher | : Courier Corporation |
Total Pages | : 162 |
Release | : 2013-07-04 |
Genre | : Mathematics |
ISBN | : 0486315584 |
Download A First Look at Perturbation Theory Book in PDF, ePub and Kindle
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
Author | : Ray M. Bowen |
Publisher | : Springer |
Total Pages | : 224 |
Release | : 1976-05-31 |
Genre | : Mathematics |
ISBN | : |
Download Introduction to Vectors and Tensors Book in PDF, ePub and Kindle
To Volume 1 This work represents our effort to present the basic concepts of vector and tensor analysis. Volume 1 begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors. Volume 2 begins with a discussion of Euclidean manifolds, which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on hypersurfaces in a Euclidean manifold. In preparing this two-volume work, our intention was to present to engineering and science students a modern introduction to vectors and tensors. Traditional courses on applied mathematics have emphasized problem-solving techniques rather than the systematic development of concepts. As a result, it is possible for such courses to become terminal mathematics courses rather than courses which equip the student to develop his or her understanding further.
Author | : Bernard F. Schutz |
Publisher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 1980-01-28 |
Genre | : Mathematics |
ISBN | : 9780521298872 |
Download Geometrical Methods of Mathematical Physics Book in PDF, ePub and Kindle
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.