Mathematical Concepts And Techniques For Physics And Engineering
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Mathematical Methods For Physics And Engineering
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Author : Mattias Blennow
language : en
Publisher: CRC Press
Release Date : 2018-01-03
Mathematical Methods For Physics And Engineering written by Mattias Blennow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-03 with Science categories.
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.
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.
Higher Mathematics For Physics And Engineering
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Author : Hiroyuki Shima
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-12
Higher Mathematics For Physics And Engineering written by Hiroyuki Shima and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-12 with Science categories.
Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.
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.
Introduction To Mathematical Physics
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Author : Chun Wa Wong
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-01-24
Introduction To Mathematical Physics written by Chun Wa Wong and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-24 with Science categories.
Introduction to Mathematical Physics explains why and how mathematics is needed in describing physical events in space. It helps physics undergraduates master the mathematical tools needed in physics core courses. It contains advanced topics for graduate students, short tutorials on basic mathematics, and an appendix on Mathematica.
Mathematical Concepts And Techniques For Physics And Engineering
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-12
Mathematical Concepts And Techniques For Physics And Engineering written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-12 with Science categories.
In "Mathematical Concepts and Techniques for Physics and Engineering", renowned authors unveil a comprehensive and engaging journey through the mathematical foundations that underpin the fields of physics and engineering. This meticulously crafted volume invites readers to delve into the core principles that illuminate the inner workings of our physical world, empowering them to analyze, understand, and manipulate its intricacies. With a captivating blend of theoretical rigor and practical applications, this book encompasses a vast spectrum of mathematical concepts, from the fundamentals of calculus and linear algebra to the intricacies of complex numbers and probability theory. The authors guide readers through the intricacies of vector calculus, revealing the secrets of motion and flow. Special functions and transforms unveil their power in solving complex problems, while numerical methods provide practical tools for tackling real-world challenges. Throughout this exploration, readers will uncover the profound connections between mathematics and the physical world, witnessing how mathematical concepts find practical applications in a myriad of fields, from the design of bridges to the intricacies of quantum mechanics. Each chapter deepens understanding of the universe and equips readers with the ability to harness its power for the betterment of society. Written with clarity and precision, this book is an indispensable resource for students, researchers, and practitioners in physics, engineering, and related disciplines. Its comprehensive coverage, engaging explanations, and wealth of examples illuminate the path towards mastering the mathematical tools that shape our world. Embark on this mathematical odyssey and unlock new horizons of understanding and innovation. "Mathematical Concepts and Techniques for Physics and Engineering" is your trusted guide to mastering the language of science and engineering, empowering you to decipher the mysteries of the universe and shape the technological landscape of the future. If you like this book, write a review!
Mathematics For Physics
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Author : Michael Stone
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-09
Mathematics For Physics written by Michael Stone 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 2009-07-09 with Science categories.
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 In Chemistry And Physics
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Author : M.E. Starzak
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-03-31
Mathematical Methods In Chemistry And Physics written by M.E. Starzak and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-31 with Mathematics categories.
Imposingly thick text derived from a one-semester course intended to acquaint advanced undergraduate (and beginning graduate) students with the concepts and methods of linear mathematics. Though physics is referred to in the title, the book is in almost every organizational and notational respect
Mathematical Methods For Physics
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Author : J. R. Claycomb
language : en
Publisher: Stylus Publishing, LLC
Release Date : 2018-03-20
Mathematical Methods For Physics written by J. R. Claycomb and has been published by Stylus Publishing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Science categories.
This book may be used by students and professionals in physics and engineering that have completed first-year calculus and physics. An introductory chapter reviews algebra, trigonometry, units and complex numbers that are frequently used in physics. Examples using MATLAB and Maple for symbolic and numerical calculations in physics with a variety of plotting features are included in all 16 chapters. The book applies many of mathematical concepts covered in Chapters 1-9 to fundamental physics topics in mechanics, electromagnetics; quantum mechanics and relativity in Chapters 10-16. Companion files are included with MATLAB and Maple worksheets and files, and all of the figures from the text. Features: • Each chapter includes the mathematical development of the concept with numerous examples • MATLAB & Maple examples are integrated in each chapter throughout the book • Applies the mathematical concepts to fundamental physics principles such as relativity, mechanics, electromagnetics, etc. • Introduces basic MATLAB and Maple commands and programming structures • Includes companion files with MATLAB and Maple files and worksheets, and all of the figures from the text
Mathematical Methods In Physics
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Author : Philippe Blanchard
language : en
Publisher: Birkhäuser
Release Date : 2002-10-04
Mathematical Methods In Physics written by Philippe Blanchard and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-04 with Mathematics categories.
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.