Principles Advanced Mathematical Physics by Richtmyer (37 results)

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422 S., OPbd., Gr.-8*. Deckel leicht angeschmutzt, Vorbesitzername, noch gut erhaltener Pappband. 69 Sprache: Englisch Gewicht in Gramm: 1000.

xv, 422 pp.wtih some figures, 0387088733 Sprache: Englisch Gewicht in Gramm: 900 Groß 8°, Original-Pappband (Hardcover), Bibliotheks-Exemplar (ordnungsgemäß entwidmet) mit Rückständen vom Rückenschild, Stempel auf Titel, insgesamt gutes und innen sauberes Exemplar, (library copy in good condition),

Hardcover. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.8.

Condition: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: Second ] Publisher: Springer-Verlag Pub Date: 1/1/1978 Binding: Hardcover Pages: 422 Second edition.

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gebundene Ausgabe. Condition: Gut. XV, 422 S. Das Buch befindet sich in einem ordentlich erhaltenen Zustand. Folienschutzumschlag abnehmbar. Sprache: Englisch Gewicht in Gramm: 900.

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Paperback or Softback. Condition: New. Principles of Advanced Mathematical Physics: Volume II 1.04. Book.

Paperback or Softback. Condition: New. Principles of Advanced Mathematical Physics 1.36. Book.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in 'applied mathe matics,' at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Inhaltsangabe18 Elementary Group Theory.- 18.1 The group axioms; examples.- 18.2 Elementary consequences of the axioms; further definitions.- 18.3 Isomorphism.- 18.4 Permutation groups.- 18.5 Homomorphisms; normal subgroups.- 18.6 Cosets.- 18.7 Factor groups.- 18.8 The Law of Homomorphism.- 18.9 The structure of cyclic groups.- 18.10 Translations, inner automorphisms.- 18.11 The subgroups of 4.- 18.12 Generators and relations; free groups.- 18.13 Multiply periodic functions and crystals.- 18.14 The space and point groups.- 18.15 Direct and semidirect products of groups; symmorphic space groups.- 19 Continuous Groups.- 19.1 Orthogonal and rotation groups.- 19.2 The rotation group SO(3); Euler's theorem.- 19.3 Unitary groups.- 19.4 The Lorentz groups.- 19.5 Group manifolds.- 19.6 Intrinsic coordinates in the manifold of the rotation group.- 19.7 The homomorphism of SU(2) onto SO(3).- 19.8 The homomorphism of SL(2, ) onto the proper Lorentz group p. 19.9 Simplicity of the rotation and Lorentz groups. 20 Group Representations I: Rotations and Spherical Harmonics. 20.1 Finitedimensional representations of a group. 20.2 Vector and tensor transformation laws. 20.3 Other group representations in physics. 20.4 Infinitedimensional representations. 20.5 A simple case: SO(2). 20.6 Representations of matrix groups on X . 20.7 Homogeneous spaces. 20.8 Regular representations. 20.9 Representations of the rotation group SO(3). 20.10 Tesseral harmonics; Legendre functions. 20.11 Associated Legendre functions. 20.12 Matrices of the irreducible representations of SO(3); the Euler angles. 20.13 The addition theorem for tesseral harmonics. 20.14 Completeness of the tesseral harmonics. 21 Group Representations II: General; Rigid Motions; Bessel Functions. 21.1 Equivalence; unitary representations. 21.2 The reduction of representations. 21.3 Schur's Lemma and its corollaries. 21.4 Compact and noncompact groups. 21.5 Invariant integration; Haar measure. 21.6 Complete system of representations of a compact group. 21.7 Homogeneous spaces as configuration spaces in physics. 21.8 M2 and related groups. 21.9 Representations of M2. 21.10 Some irreducible representations. 21.11 Bessel functions. 21.12 Matrices of the representations. 21.13 Characters. 22 Group Representations and Quantum Mechanics. 22.1 Representations in quantum mechanics. 22.2 Rotations of the axes. 22.3 Ray representations. 22.4 A finitedimensional case. 22.5 Local representations. 22.6 Origin of the twovalued representations. 22.7 Representations of SU(2) and SL(2, ). 22.8 Irreducible representations of SU(2). 22.9 The characters of SU(2). 22.10 Functions of z and z . 22.11 The finitedimensional representations of SL(2, ). 22.12 The irreducible invariant subspaces of X for SL(2, ). 22.13 Spinors. 23 Elementary Theory of Manifolds. 23.1 Examples of manifolds; method of identification. 23.2 Coordinate systems or charts; compatibility; smoothness. 23.3 Induced topology. 23.4 Definition of manifold; Hausdorff separation axiom. 23.5 Curves and functions in a manifold. 23.6 Connectedness; components of a manifold. 23.7 Global topology; homotopic curves; fundamental group. 23.8 Mechanical linkages: Cartesian products. 24 Covering Manifolds. 24.1 Definition and examples. 24.2 Principles of lifting. 24.3 Universal covering manifold. 24.4 Comments on the construction of mathematical models. 24.5 Construction of the universal covering. 24.6 Manifolds covered by a given manifold. 25 Lie Groups. 25.1 Definitions and statement of objectives. 25.2 The expansions of m( , ) and l( , ). 25.3 The Lie algebra of a Lie group. 25.4 Abstract Lie algebras. 25.5 The Lie algebras of linear groups. 25.6 The exponential mapping; logarithmic coordinates. 25.7 An auxiliary lemma on inner automorphisms; the mappings Ad . 25.8 Auxiliary lemmas on formal derivatives. 25.9 An auxiliary lemma on the differentiation of exponentials. 25.10 The Campbe.

Condition: Fair. 2 uniform harcovers, illustrated with numerous equations and diagrams, 422+322 pages, fairly good set, 8vo.; Spines and boards disoloured, edges and corners worn, foxed on cut, name in pen on title page in both volumes.

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(Berlin, XV, 422 S. Ehem. Bibliotheksexemplar m. Stempel u. Signatur. Moderate Gebrauchsspuren, Text bis auf vereinzelte mögliche kleine Marginalien / Ansstreichungen sauber, insgesamt ein gutes Arbeitsexemplar. 9783540088738 Sprache: Englisch Gewicht in Gramm: 756.

Paperback. Condition: Brand New. reprint edition. 336 pages. 9.25x6.10x0.80 inches. In Stock.

2 volumes. XV/422, IX/322 S./pp., Originalpappband (publisher's cardboard covers), Bibliotheksexemplar in gutem Zustand / exlibrary in good condition (Stempel auf Titel / title stamped, Rückenschildchen / lettering pannel to the spine, Block sehr gut / contents excellent, keine Unterstreichungen oder Anstreichungen / no underlining or remarks, in Folie eingeschlagen / wrapped up in foil), (Texts and Monographs in Physics), Sprache: englisch.

Paperback. Condition: Brand New. reprint edition. 444 pages. 9.25x6.10x1.00 inches. In Stock.

Taschenbuch. Condition: Neu. Neuware -A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in 'applied mathe matics,' at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 444 pp. Englisch.

Taschenbuch. Condition: Neu. Neuware -Inhaltsangabe18 Elementary Group Theory.- 18.1 The group axioms; examples.- 18.2 Elementary consequences of the axioms; further definitions.- 18.3 Isomorphism.- 18.4 Permutation groups.- 18.5 Homomorphisms; normal subgroups.- 18.6 Cosets.- 18.7 Factor groups.- 18.8 The Law of Homomorphism.- 18.9 The structure of cyclic groups.- 18.10 Translations, inner automorphisms.- 18.11 The subgroups of 4.- 18.12 Generators and relations; free groups.- 18.13 Multiply periodic functions and crystals.- 18.14 The space and point groups.- 18.15 Direct and semidirect products of groups; symmorphic space groups.- 19 Continuous Groups.- 19.1 Orthogonal and rotation groups.- 19.2 The rotation group SO(3); Euler's theorem.- 19.3 Unitary groups.- 19.4 The Lorentz groups.- 19.5 Group manifolds.- 19.6 Intrinsic coordinates in the manifold of the rotation group.- 19.7 The homomorphism of SU(2) onto SO(3).- 19.8 The homomorphism of SL(2, ) onto the proper Lorentz group p. 19.9 Simplicity of the rotation and Lorentz groups. 20 Group Representations I: Rotations and Spherical Harmonics. 20.1 Finitedimensional representations of a group. 20.2 Vector and tensor transformation laws. 20.3 Other group representations in physics. 20.4 Infinitedimensional representations. 20.5 A simple case: SO(2). 20.6 Representations of matrix groups on X . 20.7 Homogeneous spaces. 20.8 Regular representations. 20.9 Representations of the rotation group SO(3). 20.10 Tesseral harmonics; Legendre functions. 20.11 Associated Legendre functions. 20.12 Matrices of the irreducible representations of SO(3); the Euler angles. 20.13 The addition theorem for tesseral harmonics. 20.14 Completeness of the tesseral harmonics. 21 Group Representations II: General; Rigid Motions; Bessel Functions. 21.1 Equivalence; unitary representations. 21.2 The reduction of representations. 21.3 Schur's Lemma and its corollaries. 21.4 Compact and noncompact groups. 21.5 Invariant integration; Haar measure. 21.6 Complete system of representations of a compact group. 21.7 Homogeneous spaces as configuration spaces in physics. 21.8 M2 and related groups. 21.9 Representations of M2. 21.10 Some irreducible representations. 21.11 Bessel functions. 21.12 Matrices of the representations. 21.13 Characters. 22 Group Representations and Quantum Mechanics. 22.1 Representations in quantum mechanics. 22.2 Rotations of the axes. 22.3 Ray representations. 22.4 A finitedimensional case. 22.5 Local representations. 22.6 Origin of the twovalued representations. 22.7 Representations of SU(2) and SL(2, ). 22.8 Irreducible representations of SU(2). 22.9 The characters of SU(2). 22.10 Functions of z and z . 22.11 The finitedimensional representations of SL(2, ). 22.12 The irreducible invariant subspaces of X for SL(2, ). 22.13 Spinors. 23 Elementary Theory of Manifolds. 23.1 Examples of manifolds; method of identification. 23.2 Coordinate systems or charts; compatibility; smoothness. 23.3 Induced topology. 23.4 Definition of manifold; Hausdorff separation axiom. 23.5 Curves and functions in a manifold. 23.6 Connectedness; components of a manifold. 23.7 Global topology; homotopic curves; fundamental group. 23.8 Mechanical linkages: Cartesian products. 24 Covering Manifolds. 24.1 Definition and examples. 24.2 Principles of lifting. 24.3 Universal covering manifold. 24.4 Comments on the construction of mathematical models. 24.5 Construction of the universal covering. 24.6 Manifolds covered by a given manifold. 25 Lie Groups. 25.1 Definitions and statement of objectives. 25.2 The expansions of m( , ) and l( , ). 25.3 The Lie algebra of a Lie group. 25.4 Abstract Lie algebras. 25.5 The Lie algebras of linear groups. 25.6 The exponential mapping; logarithmic coordinates. 25.7 An auxiliary lemma on inner automorphisms; the mappings Ad . 25.8 Auxiliary lemmas on formal derivatives. 25.9 An auxiliary lemma on the differentiation of exponentials. 25.10 The CampbeSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 336 pp. Englisch.

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gebundene Ausgabe. Condition: Gut. 322 Seiten Schnitt und Einband sind leicht staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. ENGLISCH. Sprache: Englisch Gewicht in Gramm: 660.