mathematical analysis of physical problems

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Mathematical Analysis Of Physical Problems

Author : Philip Russell Wallace
ISBN : 9780486646763
Genre : Science
File Size : 39. 30 MB
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This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Mathematical Analysis Of Problems In The Natural Sciences

Author : Vladimir Zorich
ISBN : 3642148131
Genre : Mathematics
File Size : 42. 53 MB
Format : PDF
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Based on a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory, this text unifies three general topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorov's model for turbulence; functions of very large number of variables and the principle of concentration along with the non-linear law of large numbers, the geometric meaning of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, finally, classical thermodynamics and contact geometry, which covers two main principles of thermodynamics in the language of differential forms, contact distributions, the Frobenius theorem and the Carnot-Caratheodory metric. It includes problems, historical remarks, and Zorich's popular article, "Mathematics as language and method."

Group Theory And Its Application To Physical Problems

Author : Morton Hamermesh
ISBN : 0486661814
Genre : Science
File Size : 72. 67 MB
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"A remarkably intelligible survey . . . well organized, well written and very clear throughout." — Mathematical Reviews This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment. 77 illustrations. "A very welcome addition to [the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." — Contemporary Physics. Index. Bibliography. Problems. Tables.

Mathematical Analysis Approximation Theory And Their Applications

Author : Themistocles M. Rassias
ISBN : 9783319312811
Genre : Mathematics
File Size : 59. 70 MB
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Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Acoustics Mechanics And The Related Topics Of Mathematical Analysis

Author : Armand Wirgin
ISBN : 981270440X
Genre : Mathematics
File Size : 38. 82 MB
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This book concerns the mathematical analysis OCo modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc. OCo involved in predicting complex mechanical/acoustical behavior/response and identifying or optimizing mechanical/acoustical systems giving rise to phenomena that are either observed or aimed at. The forward problems consist in solving generally coupled, nonlinear systems of integral or partial (integer or fractional) differential equations with nonconstant coefficients. The identification/optimization of the latter, of the driving terms and/or of the boundary conditions, all of which are often affected by random perturbations, forms the class of related inverse or control problems."

Mathematical Analysis And Numerical Methods For Science And Technology

Author : Robert Dautray
ISBN : 9783642615276
Genre : Mathematics
File Size : 38. 36 MB
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These 6 volumes -- the result of a 10 year collaboration between the authors, both distinguished international figures -- compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way.

Issues In Calculus Mathematical Analysis And Nonlinear Research 2011 Edition

Author :
ISBN : 9781464965302
Genre : Mathematics
File Size : 55. 14 MB
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Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Calculus, Mathematical Analysis, and Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Calculus, Mathematical Analysis, and Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at

Mathematical Analysis In Engineering

Author : Chiang C. Mei
ISBN : 0521587980
Genre : Mathematics
File Size : 70. 25 MB
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A paperback edition of successful and well reviewed 1995 graduate text on applied mathematics for engineers.

A Primer Of Infinitesimal Analysis

Author : John Lane Bell
ISBN : 0521624010
Genre : Mathematics
File Size : 69. 94 MB
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This is the first elementary book to employ the concept of infinitesimals.

Ill Posed Problems Of Mathematical Physics And Analysis

Author : Mikhail Mikha_lovich Lavrent_ev
ISBN : 0821898140
Genre : Mathematics
File Size : 38. 9 MB
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Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations

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