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Author : Robert D. Richtmyer
Publisher : Unknown
Page : 422 pages
File Size : 45,7 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:954472754
Author : R. D. Richtmyer
Publisher : Unknown
Page : 336 pages
File Size : 55,6 Mb
Release : 1981-11-01
Category : Electronic
ISBN : 3642510779
Author : Robert Davis Richtmyer
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 1978
Category : Electronic
ISBN : OCLC:834186607
Author : R.D. Richtmyer
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642510762
Author : Robert D. Richtmyer
Publisher : Unknown
Page : 128 pages
File Size : 50,9 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:632574036
Author : Donald Howard Menzel
Publisher : Courier Corporation
Page : 434 pages
File Size : 53,6 Mb
Release : 1961-01-01
Category : Science
ISBN : 9780486600567
This is a thorough treatment in one volume of the mathematical techniques vital in classical mechanics, electromagnetic theory, quantum theory, and relativity. Designed for junior, senior, and graduate courses in mathematical physics, it presents full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, and other advanced mathematical techniques in their logical order during the presentation of the various physical theories. The completeness of the derivations makes the book especially useful for self-study. Several topics seldom presented, such as electron theory and relativity, appear in considerable detail, because an understanding of them is increasingly vital to the student of atomic physics. But the author's treatment of his chosen subjects in classical physics is no way slighted, and his book has proved valuable to students in all fields of physics. The opening section provides scores of definitions, conversion factors, dimensional constants, and electromagnetic quantities for ready reference later on. There follows a full treatment of the main branches of classical physics: potential theory, spherical harmonics, vector analysis, dyadics, matrices, tensors, hydrodynamics, advanced dynamics, waves and vibrations, quantum mechanics, electromagnetic theory, and radiation theory. The book concludes with a discussion from first principles of the theory of relativity. Nearly 200 problems ranging over a wide level of difficulty and selected from many different fields of physics are included, with answers, at ends of chapters. "The treatment is more detailed than normal for an advanced text . . . excellent set of sections on Dyadics, Matrices, and Tensors. . . . The part on waves and vibrations is well done . . . problems well varied in difficulty." ― Journal of the Franklin Institute.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 50,5 Mb
Release : 2002-02-08
Category : Science
ISBN : 0387985794
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Author : Sunil Mukhi,N. Mukunda
Publisher : World Scientific
Page : 289 pages
File Size : 44,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814299749
This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics, (including string theory) while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics. Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and De Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups. The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.
Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 53,9 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Author : Robert D. Richtmyer
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642463785
A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics.
Author : Esko Keski-Vakkuri,Claus Montonen,Marco Panero
Publisher : Cambridge University Press
Page : 370 pages
File Size : 42,8 Mb
Release : 2022-12-22
Category : Science
ISBN : 9781108129008
This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering. The material has been subject to more than twenty years of feedback from students, ensuring that explanations and examples are lucid and considered, and numerous worked examples and exercises reinforce key concepts and further strengthen readers' understanding. This text unites a wide variety of important topics that are often scattered across different books, and provides a solid platform for more specialized study or research.
Author : Donald Greenspan
Publisher : Elsevier
Page : 179 pages
File Size : 50,8 Mb
Release : 2016-05-24
Category : Science
ISBN : 9781483278841
Computer-Oriented Mathematical Physics describes some mathematical models of classical physical phenomena, particularly the mechanics of particles. This book is composed of 12 chapters, and begins with an introduction to the link between mathematics and physics. The subsequent chapters deal with the concept of gravity, the theoretical foundations f classical physics as a mathematical science, and the principles of pendulum and other oscillators. These topics are followed by discussions of waves, vectors, gravitation, the body-problem, and discrete fluid models. The final chapters examine the phenomena of spinning tops and skaters, as well as the Galilean principle of relativity. This book is of value as an introductory textbook for math and physics university and advanced high school students.
Author : Derek F. Lawden
Publisher : Courier Corporation
Page : 306 pages
File Size : 43,5 Mb
Release : 2005-01-01
Category : Science
ISBN : 9780486442235
Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.
Author : Steeb Willi-hans
Publisher : World Scientific
Page : 736 pages
File Size : 48,7 Mb
Release : 2018-08-23
Category : Science
ISBN : 9789813275393
This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.
Author : Michael Spivak
Publisher : Unknown
Page : 733 pages
File Size : 42,8 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322
