Guide To Mathematical Methods For Physicists A Advanced Topics And Applications
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A Guide To Mathematical Methods For Physicists
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Author : Michela Petrini
language : en
Publisher:
Release Date : 2018
A Guide To Mathematical Methods For Physicists written by Michela Petrini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Guide To Mathematical Methods For Physicists A With Problems And Solutions
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Author : Michela Petrini
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-07-07
Guide To Mathematical Methods For Physicists A With Problems And Solutions written by Michela Petrini and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-07 with Science categories.
Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts — complex analysis and vector spaces — in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions. A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.
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.
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 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.
Topics In Statistical Mechanics Second Edition
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Author : Brian Cowan
language : en
Publisher: World Scientific
Release Date : 2021-07-23
Topics In Statistical Mechanics Second Edition written by Brian Cowan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-23 with Science categories.
Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.
Mathematical Methods In Physics And Engineering With Mathematica
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Author : Ferdinand F. Cap
language : en
Publisher: CRC Press
Release Date : 2003-05-28
Mathematical Methods In Physics And Engineering With Mathematica written by Ferdinand F. Cap and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-28 with Mathematics categories.
More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering
Princeton Guide To Advanced Physics
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Author : Alan C. Tribble
language : en
Publisher: Princeton University Press
Release Date : 1996-07-28
Princeton Guide To Advanced Physics written by Alan C. Tribble and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-28 with Science categories.
From classical mechanics to general relativity, the key principles in all areas of physics are surveyed in this one handy volume. Here Alan Tribble addresses the needs of students and practicing physicists alike. He starts with a review of mathematical methods and then summarizes the most widely used concepts in physics, detailing derivations and applications. With its mix of theory, application, and solved problems, Advanced Physics enables a student to grasp quickly the fundamentals of the field while providing physicists, engineers, and mathematicians with an ideal reference for locating critical formulas or reviewing mathematical details. One of Tribble's goals is to help students, particularly those preparing for comprehensive examinations, to develop and retain a broad base of knowledge and an in-depth understanding of the fundamental physical principles. Until now, reaching this goal has been a time-consuming and difficult task for the student, partly because so many texts have omitted key steps in crucial derivations or have assigned these derivations as exercises. By gathering widespread information into one highly accessible format, Advanced Physics will become an invaluable study aid, will serve readily as a text in a review course or as a supplemental text in higher-level courses, and will make for an indispensable reference for professionals throughout their careers.
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.
Advanced Mathematical Methods
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Author : Adam Ostaszewski
language : en
Publisher: Cambridge University Press
Release Date : 1990
Advanced Mathematical Methods written by Adam Ostaszewski 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 1990 with Mathematics categories.
This text is a self-contained second course on mathematical methods dealing with topics in linear algebra and multivariate calculus that can be applied to statistics.