A Course In Mathematical Physics 3

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A Course In Mathematical Physics 3

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Author : Walter Thirring
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

A Course In Mathematical Physics 3 written by Walter Thirring 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 2013-11-11 with Science categories.

In this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons. It is precisely with this in mind that I feel it appropriate to draw upon the most modern mathematical methods. Only by their means can the logical fabric of quantum theory be woven with a smooth structure; in their absence, rough spots would . inevitably appear, especially in the theory of unbounded operators, where the details are too intricate to be comprehended easily. Great care has been taken to build up this mathematical weaponry as completely as possible, as it is also the basic arsenal of the next volume. This means that many proofs have been tucked away in the exercises. My greatest concern was to replace the ordinary cal culations of uncertain accuracy with better ones having error bounds, in order to raise the crude manners of theoretical physics to the more cultivated level of experimental physics.

A Course In Mathematical Physics 3

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Author : Walter Thirring
language : en
Publisher: Springer
Release Date : 1991-02-07

A Course In Mathematical Physics 3 written by Walter Thirring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-07 with Science categories.

In this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons. It is precisely with this in mind that I feel it appropriate to draw upon the most modern mathematical methods. Only by their means can the logical fabric of quantum theory be woven with a smooth structure; in their absence, rough spots would . inevitably appear, especially in the theory of unbounded operators, where the details are too intricate to be comprehended easily. Great care has been taken to build up this mathematical weaponry as completely as possible, as it is also the basic arsenal of the next volume. This means that many proofs have been tucked away in the exercises. My greatest concern was to replace the ordinary cal culations of uncertain accuracy with better ones having error bounds, in order to raise the crude manners of theoretical physics to the more cultivated level of experimental physics.

Classical Dynamical Systems

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Author : Walter Thirring
language : en
Publisher: Springer
Release Date : 2013-12-01

Classical Dynamical Systems written by Walter Thirring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Science categories.

A Course In Mathematical Physics

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Author : Walter Thirring
language : en
Publisher:
Release Date : 1992

A Course In Mathematical Physics written by Walter Thirring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

A Course In Mathematical Physics 1

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Author : Walter Thirring
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Course In Mathematical Physics 1 written by Walter Thirring 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 Science categories.

This textbook presents mathematical physics in its chronological order. It originated in a four-semester course I offered to both mathematicians and physicists, who were only required to have taken the conventional intro ductory courses. In order to be able to cover a suitable amount of advanced materil;ll for graduate students, it was necessary to make a careful selection of topics. I decided to cover only those subjects in which one can work from the basic laws to derive physically relevant results with full mathematical rigor. Models which are not based on realistic physical laws can at most serve as illustrations of mathematical theorems, and theories whose pre dictions are only related to the basic principles through some uncontrollable approximation have been omitted. The complete course comprises the following one-semester lecture series: I. Classical Dynamical Systems II. Classical Field Theory III. Quantum Mechanics of Atoms and Molecules IV. Quantum Mechanics of Large Systems Unfortunately, some important branches of physics, such as the rela tivistic quantum theory, have not yet matured from the stage of rules for calculations to mathematically well understood disciplines, and are there fore not taken up. The above selection does not imply any value judgment, but only attempts to be logically and didactically consistent. General mathematical knowledge is assumed, at the level of a beginning graduate student or advanced undergraduate majoring in physics or mathe matics.

A Course In Modern Mathematical Physics

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Author : Peter Szekeres
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-16

A Course In Modern Mathematical Physics written by Peter Szekeres 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 2004-12-16 with Mathematics categories.

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

A Course In Mathematical Physics Classical Field Theory

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Author : Walter E. Thirring
language : en
Publisher:
Release Date : 1986

A Course In Mathematical Physics Classical Field Theory written by Walter E. Thirring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematical physics categories.

A Course In Mathematical Methods For Physicists

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Author : Russell L. Herman
language : en
Publisher: CRC Press
Release Date : 2013-12-04

A Course In Mathematical Methods For Physicists written by Russell L. Herman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-04 with Mathematics categories.

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-up approach that emphasizes physical applications of the mathematics. The book offers: A quick review of mathematical prerequisites, proceeding to applications of differential equations and linear algebra Classroom-tested explanations of complex and Fourier analysis for trigonometric and special functions Coverage of vector analysis and curvilinear coordinates for solving higher dimensional problems Sections on nonlinear dynamics, variational calculus, numerical solutions of differential equations, and Green's functions

A Course In Mathematical Physics Quantum Mechanics Of Large Systems

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Author : Walter E. Thirring
language : en
Publisher: Springer
Release Date : 1978

A Course In Mathematical Physics Quantum Mechanics Of Large Systems written by Walter E. Thirring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematical physics categories.

A First Course In Mathematical Physics

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Author : Colm T. Whelan
language : en
Publisher: John Wiley & Sons
Release Date : 2016-06-27

A First Course In Mathematical Physics written by Colm T. Whelan 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 2016-06-27 with Science categories.

The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.