A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /

A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /

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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.

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Bibliographic Details
Main Authors: Thirring, Walter. author., Harrell, Evans. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Vienna : Springer Vienna, 1978
Subjects:Mathematics., Mathematical physics., Physics., Mathematical Physics., Mathematical Methods in Physics., Theoretical, Mathematical and Computational Physics.,
Online Access:http://dx.doi.org/10.1007/978-3-7091-8526-1
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id KOHA-OAI-TEST:228906
record_format koha
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Mathematical physics.
Physics.
Mathematics.
Mathematical Physics.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
Mathematics.
Mathematical physics.
Physics.
Mathematics.
Mathematical Physics.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
spellingShingle Mathematics.
Mathematical physics.
Physics.
Mathematics.
Mathematical Physics.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
Mathematics.
Mathematical physics.
Physics.
Mathematics.
Mathematical Physics.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
Thirring, Walter. author.
Harrell, Evans. author.
SpringerLink (Online service)
A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /
description 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.
format Texto
topic_facet Mathematics.
Mathematical physics.
Physics.
Mathematics.
Mathematical Physics.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
author Thirring, Walter. author.
Harrell, Evans. author.
SpringerLink (Online service)
author_facet Thirring, Walter. author.
Harrell, Evans. author.
SpringerLink (Online service)
author_sort Thirring, Walter. author.
title A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /
title_short A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /
title_full A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /
title_fullStr A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /
title_full_unstemmed A Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems /
title_sort course in mathematical physics 1 [electronic resource] : classical dynamical systems /
publisher Vienna : Springer Vienna,
publishDate 1978
url http://dx.doi.org/10.1007/978-3-7091-8526-1
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spelling KOHA-OAI-TEST:2289062018-07-31T00:10:49ZA Course in Mathematical Physics 1 [electronic resource] : Classical Dynamical Systems / Thirring, Walter. author. Harrell, Evans. author. SpringerLink (Online service) textVienna : Springer Vienna,1978.engThis 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.1 Introduction -- 1.1 Equations of Motion -- 1.2 The Mathematical Language -- 1.3 The Physical Interpretation -- 2 Analysis on Manifolds -- 2.1 Manifolds -- 2.2 Tangent Spaces -- 2.3 Flows -- 2.4 Tensors -- 2.5 Differentiation -- 2.6 Integration -- 3 Hamiltonian Systems -- 3.1 Canonical Transformations -- 3.2 Hamilton’s Equations -- 3.3 Constants of Motion -- 3.4 The Limit t ? I ± ? -- 3.5 Perturbation Theory: Preliminaries -- 3.6 Perturbation Theory: The Iteration -- 4 Nonrelativistic Motion -- 4.1 Free Particles -- 4.2 The Two-Body Problem -- 4.3 The Problem of Two Centers of Force -- 4.4 The Restricted Three-Body Problems -- 4.5 The N-body Problem -- 5 Relativistic Motion -- 5.1 The Hamiltonian Formulation of the Electrodynamic Equation of Motion -- 5.2 The Constant Field -- 5.3 The Coulomb Field -- 5.4 The Betatron -- 5.5 The Traveling Plane Disturbance -- 5.6 Relativistic Motion in a Gravitational Field -- 5.7 Motion in the Schwarzschild Field -- 5.8 Motion in a Gravitational Plane Wave -- 6 The Structure of Space and Time -- 6.1 The Homogeneous Universe -- 6.2 The Isotropic Universe -- 6.3 Me according to Galileo -- 6.4 Me as Minkowski Space -- 6.5 Me as a Pseudo-Riemannian Space.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.Mathematics.Mathematical physics.Physics.Mathematics.Mathematical Physics.Mathematical Methods in Physics.Theoretical, Mathematical and Computational Physics.Springer eBookshttp://dx.doi.org/10.1007/978-3-7091-8526-1URN:ISBN:9783709185261

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