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

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

Author: Petrini Michela

Publisher: World Scientific

Published: 2018-08-29

Total Pages: 308

ISBN-13: 1786345501

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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

Mathematical Methods for Physicists

Mathematical Methods for Physicists PDF

Author: George Brown Arfken

Publisher: Academic Press

Published: 2013

Total Pages: 1230

ISBN-13: 0123846544

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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.

A Guide to Mathematical Methods for Physicists

A Guide to Mathematical Methods for Physicists PDF

Author: Michela Petrini

Publisher: World Scientific Publishing Company

Published: 2017-07

Total Pages: 328

ISBN-13: 9781786343437

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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 t

Mathematical Methods

Mathematical Methods PDF

Author: Sadri Hassani

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 673

ISBN-13: 038721562X

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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.

Exercises and Problems in Mathematical Methods of Physics

Exercises and Problems in Mathematical Methods of Physics PDF

Author: Giampaolo Cicogna

Publisher: Springer Nature

Published: 2020-10-30

Total Pages: 227

ISBN-13: 3030594726

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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.

Mathematics for Physicists

Mathematics for Physicists PDF

Author: Alexander Altland

Publisher: Cambridge University Press

Published: 2019-02-14

Total Pages: 723

ISBN-13: 1108651151

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This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors.

A Course in Mathematical Methods for Physicists

A Course in Mathematical Methods for Physicists PDF

Author: Russell L. Herman

Publisher: CRC Press

Published: 2013-12-04

Total Pages: 776

ISBN-13: 1000687260

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Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-u

Guide To Mathematical Methods For Physicists, A: With Problems And Solutions

Guide To Mathematical Methods For Physicists, A: With Problems And Solutions PDF

Author: Michela Petrini

Publisher: World Scientific Publishing Company

Published: 2017-07-07

Total Pages: 340

ISBN-13: 1786343460

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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.