Exercises And Problems In Mathematical Methods Of Physics

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Exercises and Problems in Mathematical Methods of Physics

Author : Giampaolo Cicogna
Publisher : Springer Nature
Page : 227 pages
File Size : 54,5 Mb
Release : 2020-10-30
Category : Science
ISBN : 9783030594725

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Exercises and Problems in Mathematical Methods of Physics by Giampaolo Cicogna Pdf

This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.

Mathematical Methods for Physicists

Author : George B. Arfken,Hans J. Weber
Publisher : Academic Press
Page : 1029 pages
File Size : 53,9 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483288062

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Mathematical Methods for Physicists by George B. Arfken,Hans J. Weber Pdf

This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject. A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use. This revised Fourth Edition includes: Modernized terminology Group theoretic methods brought together and expanded in a new chapter An entirely new chapter on nonlinear mathematical physics Significant revisions of the differential equations and complex variables chapters Many new or improved exercises Forty new or improved figures An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others

Methods for Solving Mathematical Physics Problems

Author : Valeriĭ Ivanovich Agoshkov,P. B. Dubovsky,V. P. Shutiayev
Publisher : Cambridge Int Science Publishing
Page : 335 pages
File Size : 42,9 Mb
Release : 2006
Category : Science
ISBN : 9781904602057

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Methods for Solving Mathematical Physics Problems by Valeriĭ Ivanovich Agoshkov,P. B. Dubovsky,V. P. Shutiayev Pdf

The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.

Mathematical Methods For Physicists International Student Edition

Author : George B. Arfken,Hans J. Weber
Publisher : Elsevier
Page : 1200 pages
File Size : 47,5 Mb
Release : 2005-07-05
Category : Science
ISBN : 9780080470696

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Mathematical Methods For Physicists International Student Edition by George B. Arfken,Hans J. Weber Pdf

This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. Updates the leading graduate-level text in mathematical physics Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering Focuses on problem-solving skills and offers a vast array of exercises Clearly illustrates and proves mathematical relations New in the Sixth Edition: Updated content throughout, based on users' feedback More advanced sections, including differential forms and the elegant forms of Maxwell's equations A new chapter on probability and statistics More elementary sections have been deleted

Mathematical Methods in Physics and Engineering

Author : John W. Dettman
Publisher : Courier Corporation
Page : 450 pages
File Size : 54,5 Mb
Release : 1988-01-01
Category : Technology & Engineering
ISBN : 0486656497

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

Algebraically based approach to vectors, mapping, diffraction, and other topics in applied math also covers generalized functions, analytic function theory, and more. Additional topics include sections on linear algebra, Hilbert spaces, calculus of variations, boundary value problems, integral equations, analytic function theory, and integral transform methods. Exercises. 1969 edition.

Mathematical Methods

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 41,5 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.

Mathematical Methods for Physicists

Author : George Brown Arfken,George B. Arfken,Hans J. Weber,Frank E. Harris
Publisher : Academic Press
Page : 1230 pages
File Size : 49,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9780123846549

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Mathematical Methods for Physicists by George Brown Arfken,George B. Arfken,Hans J. Weber,Frank E. Harris Pdf

Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.

Mathematical Methods Using Mathematica®

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 55,8 Mb
Release : 2006-04-10
Category : Science
ISBN : 9780387215594

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Mathematical Methods Using Mathematica® by Sadri Hassani Pdf

Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). Although it is primarily designed for use with the author's "Mathematical Methods: For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.

Mathematical Methods for Optical Physics and Engineering

Author : Gregory J. Gbur
Publisher : Cambridge University Press
Page : 819 pages
File Size : 49,8 Mb
Release : 2011-01-06
Category : Science
ISBN : 9781139492690

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Mathematical Methods for Optical Physics and Engineering by Gregory J. Gbur Pdf

The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

Mathematics for Physics

Author : Michael Stone,Paul Goldbart
Publisher : Cambridge University Press
Page : 821 pages
File Size : 47,8 Mb
Release : 2009-07-09
Category : Science
ISBN : 9781139480611

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Mathematics for Physics by Michael Stone,Paul Goldbart Pdf

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Mathematical Methods for Physicists

Author : George Brown Arfken
Publisher : Unknown
Page : 852 pages
File Size : 50,7 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015064102281

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Mathematical Methods for Physicists by George Brown Arfken Pdf

This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. * Updates the leading graduate-level text in mathematical physics* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering* Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relationsNew in the Sixth Edition: * Updated content throughout, based on users' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell's equations* A new chapter on probability and statistics* More elementary sections have been deleted

Guide To Mathematical Methods For Physicists, A: Advanced Topics And Applications

Author : Petrini Michela,Pradisi Gianfranco,Zaffaroni Alberto
Publisher : World Scientific
Page : 308 pages
File Size : 53,6 Mb
Release : 2018-08-29
Category : Science
ISBN : 9781786345509

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Guide To Mathematical Methods For Physicists, A: Advanced Topics And Applications by Petrini Michela,Pradisi Gianfranco,Zaffaroni Alberto Pdf

This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses at the last year of undergraduate in Physics and MSc programs, from Electromagnetism to Quantum Mechanics. It complements A Guide to Mathematical Methods for Physicists with advanced topics and physical applications. The different arguments are organised in three main sections: Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics.One of the purposes of the book is to show how seemingly different mathematical tools like, for instance, Fourier transforms, eigenvalue problems, special functions and so on, are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects. remove

Student Solution Manual for Mathematical Methods for Physics and Engineering Third Edition

Author : K. F. Riley,M. P. Hobson
Publisher : Cambridge University Press
Page : 535 pages
File Size : 48,6 Mb
Release : 2006-03-06
Category : Science
ISBN : 9781139449328

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Student Solution Manual for Mathematical Methods for Physics and Engineering Third Edition by K. F. Riley,M. P. Hobson Pdf

Mathematical Methods for Physics and Engineering, Third Edition is a highly acclaimed undergraduate textbook that teaches all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. This solutions manual accompanies the third edition of Mathematical Methods for Physics and Engineering. It contains complete worked solutions to over 400 exercises in the main textbook, the odd-numbered exercises, that are provided with hints and answers. The even-numbered exercises have no hints, answers or worked solutions and are intended for unaided homework problems; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

Mathematical Methods in Physics, Engineering, and Chemistry

Author : Brett Borden,James Luscombe
Publisher : John Wiley & Sons
Page : 448 pages
File Size : 42,7 Mb
Release : 2019-11-12
Category : Science
ISBN : 9781119579656

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Mathematical Methods in Physics, Engineering, and Chemistry by Brett Borden,James Luscombe Pdf

A concise and up-to-date introduction to mathematical methods for students in the physical sciences Mathematical Methods in Physics, Engineering and Chemistry offers an introduction to the most important methods of theoretical physics. Written by two physics professors with years of experience, the text puts the focus on the essential math topics that the majority of physical science students require in the course of their studies. This concise text also contains worked examples that clearly illustrate the mathematical concepts presented and shows how they apply to physical problems. This targeted text covers a range of topics including linear algebra, partial differential equations, power series, Sturm-Liouville theory, Fourier series, special functions, complex analysis, the Green’s function method, integral equations, and tensor analysis. This important text: Provides a streamlined approach to the subject by putting the focus on the mathematical topics that physical science students really need Offers a text that is different from the often-found definition-theorem-proof scheme Includes more than 150 worked examples that help with an understanding of the problems presented Presents a guide with more than 200 exercises with different degrees of difficulty Written for advanced undergraduate and graduate students of physics, materials science, and engineering, Mathematical Methods in Physics, Engineering and Chemistry includes the essential methods of theoretical physics. The text is streamlined to provide only the most important mathematical concepts that apply to physical problems.

Applied Mathematical Methods in Theoretical Physics

Author : Michio Masujima
Publisher : John Wiley & Sons
Page : 11 pages
File Size : 43,8 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.