Modern Mathematical Methods For Physicists And Engineers
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Modern Mathematical Methods For Physicists And Engineers
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Author : Cyrus D. Cantrell
language : en
Publisher: Cambridge University Press
Release Date : 2000-10-09
Modern Mathematical Methods For Physicists And Engineers written by Cyrus D. Cantrell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-09 with Science categories.
A mathematical and computational education for students, researchers, and practising engineers.
Modern Mathematical Methods For Scientists And Engineers A Street Smart Introduction
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Author : Athanassios Fokas
language : en
Publisher: World Scientific
Release Date : 2022-12-12
Modern Mathematical Methods For Scientists And Engineers A Street Smart Introduction written by Athanassios Fokas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-12 with Mathematics categories.
Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.
Mathematical Methods For Physicists And Engineers
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Author : Royal Eugene Collins
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11
Mathematical Methods For Physicists And Engineers written by Royal Eugene Collins and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Science categories.
Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.
Modern Mathematical Methods For Physics And Engineers
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Author : CANTRELL
language : en
Publisher:
Release Date :
Modern Mathematical Methods For Physics And Engineers written by CANTRELL and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The advent of powerful desktop computers has revolutionized scientific analysis and engineering design in fields as disparate as particle physics and telecommunications. Modern Mathematical Methods for Physicists and Engineers provides an up-to-date mathematical and computational education for students, researchers, and practising engineers. The author begins with a review of computation, and then deals with a range of key concepts including sets, fields, matrix theory, and vector spaces. He then goes on to cover more advanced subjects such as linear mappings, group theory, and special functions. In this way, he concentrates exclusively on the most important topics for the working physical scientist or engineer with the aim of helping them to make intelligent use of the latest computational and analytical methods. The book contains well over 400 homework problems and covers many topics not dealt with in other textbooks. It will be ideal for senior undergraduate and graduate students in the physical sciences and engineering, as well as a valuable reference for working engineers.
Mathematical Methods For Optical Physics And Engineering
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Author : Gregory J. Gbur
language : en
Publisher: Cambridge University Press
Release Date : 2011-01-06
Mathematical Methods For Optical Physics And Engineering written by Gregory J. Gbur and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Science categories.
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.
Mathematical Methods For Physicists
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Author : George Brown Arfken
language : en
Publisher: Academic Press
Release Date : 2013
Mathematical Methods For Physicists written by George Brown Arfken and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
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 For Scientists And Engineers
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Author : Donald Allan McQuarrie
language : en
Publisher: University Science Books
Release Date : 2003
Mathematical Methods For Scientists And Engineers written by Donald Allan McQuarrie and has been published by University Science Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
"Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.
The Mathematics Companion
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Author : Anthony Craig Fischer-Cripps
language : en
Publisher: CRC Press
Release Date : 2005-05-01
The Mathematics Companion written by Anthony Craig Fischer-Cripps and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-01 with Science categories.
Following the style of The Physics Companion and The Electronics Companion, this book is a revision aid and study guide for undergraduate students in physics and engineering. It consists of a series of one-page-per-topic descriptions of the key concepts covered in a typical first-year "mathematics for physics" course. The emphasis is placed on relating the mathematical principles being introduced to real-life physical problems. In common with the other companions, there is strong use of figures throughout to help in understanding of the concepts under consideration. The book will be an essential reference and revision guide, particularly for those students who do not have a strong background in mathematics when beginning their degree.
Mathematical Methods In Physics And Engineering
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Author : John W. Dettman
language : en
Publisher: Courier Corporation
Release Date : 2013-01-23
Mathematical Methods In Physics And Engineering written by John W. Dettman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-23 with Science categories.
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.
The Mathematics Companion
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Author : Anthony C. Fischer-Cripps
language : en
Publisher: CRC Press
Release Date : 2014-08-14
The Mathematics Companion written by Anthony C. Fischer-Cripps and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-14 with Mathematics categories.
Everything You Need to Know about Mathematics for Science and EngineeringUpdated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers. Starting from the basic concepts of trigonometry, the book