Selected Mathematical Methods In Theoretical Physics

Author : Vladmir P. Krainov
Publisher : CRC Press
Page : 220 pages
File Size : 40,9 Mb
Release : 2001-10-18
Category : Science
ISBN : 0415272394

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Selected Mathematical Methods in Theoretical Physics by Vladmir P. Krainov Pdf

Selected Mathematical Methods in Theoretical Physics shows how a scientist, knowing the answer to a problem intuitively or through experiment, can develop a mathematical method to prove that answer. The approach adopted by the author first involves the formulation of differential or integral equations for describing the physical procession, the basis of more general physical laws. Then the approximate solution of these equations is worked out, using small dimensionless physical parameters, or using numerical parameters for the objects under consideration. The eleven chapters of the book, which can be read in sequence or studied independently of each other, contain many examples of simple physical models, as well as problems for students to solve. This is a supplementary textbook for advanced university students in theoretical physics. It will enrich the knowledge of students who already have a solid grounding in mathematical analysis.

Author : Vladimir P. Krainov
Publisher : Harwood Academic Publishers
Page : 216 pages
File Size : 43,5 Mb
Release : 2001-04-01
Category : Electronic
ISBN : 9069940051

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Selected Mathematical Methods in Theoretical Physics by Vladimir P. Krainov Pdf

Author : Vladimir P. Krainov
Publisher : Harwood Academic Publishers
Page : 216 pages
File Size : 52,7 Mb
Release : 2001-04-01
Category : Electronic
ISBN : 9069940086

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Selected Mathematical Methods in Theoretical Physics by Vladimir P. Krainov Pdf

Author : Karl Svozil
Publisher : World Scientific
Page : 331 pages
File Size : 49,5 Mb
Release : 2020-02-24
Category : Science
ISBN : 9789811208423

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Mathematical Methods Of Theoretical Physics by Karl Svozil Pdf

'This book could serve either as a good reference to remind students about what they have seen in their completed courses or as a starting point to show what needs more investigation. Svozil (Vienna Univ. of Technology) offers a very thorough text that leaves no mathematical area out, but it is best described as giving a synopsis of each application and how it relates to other areas … The text is organized well and provides a good reference list. Summing Up: Recommended. Upper-division undergraduates and graduate students.'CHOICEThis book contains very explicit proofs and demonstrations through examples for a comprehensive introduction to the mathematical methods of theoretical physics. It also combines and unifies many expositions of this subject, suitable for readers with interest in experimental and applied physics.

Author : H. W. Wyld
Publisher : CRC Press
Page : 296 pages
File Size : 52,8 Mb
Release : 2018-03-14
Category : Science
ISBN : 9780429978647

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Mathematical Methods For Physics by H. W. Wyld Pdf

This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Author : Michio Masujima
Publisher : John Wiley & Sons
Page : 11 pages
File Size : 46,6 Mb
Release : 2006-03-06
Category : Science
ISBN : 9783527604906

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Applied Mathematical Methods in Theoretical Physics by Michio Masujima Pdf

All there is to know about functional analysis, integral equations and calculus of variations in a single volume. This advanced textbook is divided into two parts: The first on integral equations and the second on the calculus of variations. It begins with a short introduction to functional analysis, including a short review of complex analysis, before continuing a systematic discussion of different types of equations, such as Volterra integral equations, singular integral equations of Cauchy type, integral equations of the Fredholm type, with a special emphasis on Wiener-Hopf integral equations and Wiener-Hopf sum equations. After a few remarks on the historical development, the second part starts with an introduction to the calculus of variations and the relationship between integral equations and applications of the calculus of variations. It further covers applications of the calculus of variations developed in the second half of the 20th century in the fields of quantum mechanics, quantum statistical mechanics and quantum field theory. Throughout the book, the author presents over 150 problems and exercises - many from such branches of physics as quantum mechanics, quantum statistical mechanics, and quantum field theory - together with outlines of the solutions in each case. Detailed solutions are given, supplementing the materials discussed in the main text, allowing problems to be solved making direct use of the method illustrated. The original references are given for difficult problems. The result is complete coverage of the mathematical tools and techniques used by physicists and applied mathematicians Intended for senior undergraduates and first-year graduates in science and engineering, this is equally useful as a reference and self-study guide.

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 40,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387215624

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Mathematical Methods by Sadri Hassani Pdf

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

Author : Michio Masujima
Publisher : John Wiley & Sons
Page : 391 pages
File Size : 41,5 Mb
Release : 2006-03-06
Category : Science
ISBN : 9783527604906

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Applied Mathematical Methods in Theoretical Physics by Michio Masujima Pdf

All there is to know about functional analysis, integral equations and calculus of variations in a single volume. This advanced textbook is divided into two parts: The first on integral equations and the second on the calculus of variations. It begins with a short introduction to functional analysis, including a short review of complex analysis, before continuing a systematic discussion of different types of equations, such as Volterra integral equations, singular integral equations of Cauchy type, integral equations of the Fredholm type, with a special emphasis on Wiener-Hopf integral equations and Wiener-Hopf sum equations. After a few remarks on the historical development, the second part starts with an introduction to the calculus of variations and the relationship between integral equations and applications of the calculus of variations. It further covers applications of the calculus of variations developed in the second half of the 20th century in the fields of quantum mechanics, quantum statistical mechanics and quantum field theory. Throughout the book, the author presents over 150 problems and exercises - many from such branches of physics as quantum mechanics, quantum statistical mechanics, and quantum field theory - together with outlines of the solutions in each case. Detailed solutions are given, supplementing the materials discussed in the main text, allowing problems to be solved making direct use of the method illustrated. The original references are given for difficult problems. The result is complete coverage of the mathematical tools and techniques used by physicists and applied mathematicians Intended for senior undergraduates and first-year graduates in science and engineering, this is equally useful as a reference and self-study guide.

Author : Richard Courant,David Hilbert
Publisher : John Wiley & Sons
Page : 852 pages
File Size : 48,6 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617241

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Methods of Mathematical Physics by Richard Courant,David Hilbert Pdf

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Author : John W. Dettman
Publisher : Courier Corporation
Page : 450 pages
File Size : 46,5 Mb
Release : 2013-01-23
Category : Science
ISBN : 9780486169361

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Mathematical Methods in Physics and Engineering by John W. Dettman Pdf

Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.

Author : George B. Arfken
Publisher : Academic Press
Page : 1008 pages
File Size : 44,5 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483277820

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Mathematical Methods for Physicists by George B. Arfken Pdf

Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

Author : Philippe Blanchard,Erwin Bruening
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200499

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Mathematical Methods in Physics by Philippe Blanchard,Erwin Bruening Pdf

Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

Author : Gerald Goertzel,Nunzio Tralli
Publisher : Courier Corporation
Page : 320 pages
File Size : 42,5 Mb
Release : 2014-03-05
Category : Science
ISBN : 9780486793320

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Some Mathematical Methods of Physics by Gerald Goertzel,Nunzio Tralli Pdf

Well-rounded, thorough treatment introduces basic concepts of mathematical physics involved in the study of linear systems, with emphasis on eigenvalues, eigenfunctions, and Green's functions. Topics include discrete and continuous systems and approximation methods. 1960 edition.

Author : Esko Keski-Vakkuri,Claus Montonen,Marco Panero
Publisher : Cambridge University Press
Page : 370 pages
File Size : 54,6 Mb
Release : 2022-12-22
Category : Science
ISBN : 9781108129008

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Mathematical Methods for Physics by Esko Keski-Vakkuri,Claus Montonen,Marco Panero Pdf

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 : Mattias Blennow
Publisher : CRC Press
Page : 736 pages
File Size : 42,6 Mb
Release : 2018-01-03
Category : Science
ISBN : 9781351676083

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Mathematical Methods for Physics and Engineering by Mattias Blennow Pdf

Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions.