Problems And Methods In Mathematical Physics

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Problems And Methods In Mathematical Physics
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Author : Lothar Jentsch
language : de
Publisher: Springer-Verlag
Release Date : 2013-09-03
Problems And Methods In Mathematical Physics written by Lothar Jentsch and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Technology & Engineering categories.
Exercises And Problems In Mathematical Methods Of Physics
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Author : Giampaolo Cicogna
language : en
Publisher: Springer Nature
Release Date : 2020-10-30
Exercises And Problems In Mathematical Methods Of Physics written by Giampaolo Cicogna and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-30 with Science categories.
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.
The Boundary Value Problems Of Mathematical Physics
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Author : O.A. Ladyzhenskaya
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
The Boundary Value Problems Of Mathematical Physics written by O.A. Ladyzhenskaya 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 2013-03-14 with Science categories.
In the present edition I have included "Supplements and Problems" located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book, as well as with the desire to make good on what I have attempted to do over the course of many years for my students-to awaken their creativity, providing topics for independent work. The source of my own initial research was the famous two-volume book Methods of Mathematical Physics by D. Hilbert and R. Courant, and a series of original articles and surveys on partial differential equations and their applications to problems in theoretical mechanics and physics. The works of K. o. Friedrichs, which were in keeping with my own perception of the subject, had an especially strong influence on me. I was guided by the desire to prove, as simply as possible, that, like systems of n linear algebraic equations in n unknowns, the solvability of basic boundary value (and initial-boundary value) problems for partial differential equations is a consequence of the uniqueness theorems in a "sufficiently large" function space. This desire was successfully realized thanks to the introduction of various classes of general solutions and to an elaboration of the methods of proof for the corresponding uniqueness theorems. This was accomplished on the basis of comparatively simple integral inequalities for arbitrary functions and of a priori estimates of the solutions of the problems without enlisting any special representations of those solutions.
Methods Of Mathematical Physics
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Author : Harold Jeffreys
language : en
Publisher: Cambridge University Press
Release Date : 1999-11-18
Methods Of Mathematical Physics written by Harold Jeffreys 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 1999-11-18 with Mathematics categories.
This book is a reissue of classic textbook of mathematical methods.
Numerical Methods For Solving Inverse Problems Of Mathematical Physics
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Author : Aleksandr Andreevich Samarskiĭ
language : en
Publisher: Walter de Gruyter
Release Date : 2007
Numerical Methods For Solving Inverse Problems Of Mathematical Physics written by Aleksandr Andreevich Samarskiĭ and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Mathematical Methods In Physics
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Author : Philippe Blanchard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Methods In Physics written by Philippe Blanchard 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 2012-12-06 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.
Methods For Solving Inverse Problems In Mathematical Physics
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Author : Global Express Ltd. Co.
language : en
Publisher: CRC Press
Release Date : 2000-03-21
Methods For Solving Inverse Problems In Mathematical Physics written by Global Express Ltd. Co. and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-21 with Mathematics categories.
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
Mathematical Challenges Of Zero Range Physics
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Author : Alessandro Michelangeli
language : en
Publisher:
Release Date : 2021
Mathematical Challenges Of Zero Range Physics written by Alessandro Michelangeli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range. Such a community is experiencing fruitful and inspiring exchanges with experimental and theoretical physicists. This volume reflects such spirit, with a diverse range of original contributions by experts, presenting an up-to-date collection of most relevant results and challenging open problems. It has been conceived with the deliberate two-fold purpose of serving as an updated reference for recent results, mathematical tools, and the vast related literature on the one hand, and as a bridge towards several key open problems that will surely form the forthcoming research agenda in this field.
Mathematical Methods For Physics
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Author : H.W. Wyld
language : en
Publisher: CRC Press
Release Date : 2020-11-25
Mathematical Methods For Physics written by H.W. Wyld and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Science categories.
From classical mechanics and classical electrodynamics to modern quantum mechanics many physical phenomena are formulated in terms of similar partial differential equations while boundary conditions determine the specifics of the problem. This 45th anniversary edition of the advanced book classic Mathematical Methods for Physics demonstrates how many physics problems resolve into similar inhomogeneous partial differential equations and the mathematical techniques for solving them. The text has three parts: Part I establishes solving the homogenous Laplace and Helmholtz equations in the three main coordinate systems, rectilinear, cylindrical, and spherical and develops the solution space for series solutions to the Sturm-Liouville equation, indicial relations, and the expansion of orthogonal functions including spherical harmonics and Fourier series, Bessel, and Spherical Bessel functions. Many examples with figures are provided including electrostatics, wave guides and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, and plane and spherical waves. In Part II the inhomogeneous equations are addressed where source terms are included for Poisson's equation, the wave equation, and the diffusion equation. Coverage includes many examples from averaging approaches for electrostatics and magnetostatics, from Green function solutions for time independent and time dependent problems, and from integral equation methods. In Part III complex variable techniques are presented for solving integral equations involving Cauchy Residue theory, contour methods, analytic continuation, and transforming the contour; for addressing dispersion relations; for revisiting special functions in the complex plane; and for transforms in the complex plane including Green’s functions and Laplace transforms. Key Features: · Mathematical Methods for Physics creates a strong, solid anchor of learning and is useful for reference. · Lecture note style suitable for advanced undergraduate and graduate students to learn many techniques for solving partial differential equations with boundary conditions · Many examples across various subjects of physics in classical mechanics, classical electrodynamics, and quantum mechanics · Updated typesetting and layout for improved clarity This book, in lecture note style with updated layout and typesetting, is suitable for advanced undergraduate, graduate students, and as a reference for researchers. It has been edited and carefully updated by Gary Powell.
Methods Of Mathematical Physics
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-26
Methods Of Mathematical Physics written by Richard Courant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-26 with Science categories.
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.