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  • Books  (4)
  • Other Sources
  • Amsterdam, The Netherlands : North-Holland  (2)
  • New York : Dover Publications  (2)
  • Physics  (4)
  • 1
    Unknown
    Lie algebras : finite and infinite dimensional Lie algebras and applications in physics (1997)
    Amsterdam, The Netherlands : North-Holland
    Details
    Keywords: DDC 512/.55 ; LC QC20.7.L54 ; Lie algebras ; Mathematical physics
    Description / Table of Contents: This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras. The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.
    Pages: Online-Ressource (x, 554 pages)
    ISBN: 9780444828361
    URL: http://www.sciencedirect.com/science/publication?issn=09258582&volume=7
    Language: English
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  • 2
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    Structures in Dynamics : Finite Dimensional Deterministic Studies (1991)
    Amsterdam, The Netherlands : North-Holland
    Details
    Keywords: DDC 512/.55 ; LC QC20.7.L54 ; Mathematical physics
    Description / Table of Contents: The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.Presenting the contents of its author' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs.All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.
    Pages: Online-Ressource (viii , 309 pages)
    ISBN: 9780444892577
    URL: http://www.sciencedirect.com/science/bookseries/09258582/2
    Language: English
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  • 3
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    A Treatise on Electricity & Magnetism, Volume 1 (1954)
    New York : Dover Publications
    Details
    Keywords: Physics ; Vectors ; Electostatics ; Electostatic Instuments ; Conduction ; Resistance ; EMF ; Electolysis ; Conductance
    Description / Table of Contents: "Maxwell is without peer. This printing is an opportunity to become thoroughly acquainted with the thought of the greatest of our electrical scientists." — School Science and Math Here is the final elaboration of Maxwell's theory of electromagnetism, including the systematic and rigorous derivation of his general equations of field theory. These equations continue to occupy a central position in the modern physicist's view of the physical world. They are a magnificent summary of the fundamental advances in electricity and magnetism, and later inspired the theories of Lorentz on the electron and Einstein on relativity. Einstein himself has said that "The formulation of these equations is the most important event in physics since Newton's time." (The Evolution of Physics.) Volume 1, Part 1, "Electrostatics," describes electrostatic phenomena and develops a mathematical theory of electricity. Maxwell discusses electrical work and energy in a system of conductors, mechanical action between two electrical systems, forms of equipotential surfaces and line of flow, spherical harmonics, the theory of electric images, and other topics. Part II, "Electrokinematics," deals with electric current conduction and resistance, electromotive force between bodies in contact, electrolysis, the mathematical theory of the distribution of electric currents, and other topics.
    Pages: Online-Ressource (XXXII, 506 Seiten)
    Edition: 3rd unabridged ed.
    ISBN: 0486606368
    URL: http://archive.org/details/ATreatiseOnElectricityMagnetism-Volume1
    Language: English
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  • 4
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    A Treatise on Electricity & Magnetism, Volume 2 (1954)
    New York : Dover Publications
    Details
    Keywords: Physics ; Magnetism ; Induction ; Solenoids ; Measurements ; Electromagnetism ; Ampere ; Current ; Field ; Units ; Current Sheet ; Instruments ; Coil ; Light
    Description / Table of Contents: "Maxwell is without peer. This printing is an opportunity to become thoroughly acquainted with the thought of the greatest of our electrical scientists." — School Science and MathHere is the final elaboration of Maxwell's theory of electromagnetism, including the systematic and rigorous derivation of his general equations of field theory. These equations continue to occupy a central position in the modern physicist's view of the physical world. They are a magnificent summary of the fundamental advances in electricity and magnetism, and later inspired the theories of Lorentz on the electron and Einstein on relativity. Einstein himself has said that "The formulation of these equations is the most important event in physics since Newton's time." (The Evolution of Physics.) Volume 1, Part 1, "Electrostatics," describes electrostatic phenomena and develops a mathematical theory of electricity. Maxwell discusses electrical work and energy in a system of conductors, mechanical action between two electrical systems, forms of equipotential surfaces and line of flow, spherical harmonics, the theory of electric images, and other topics. Part II, "Electrokinematics," deals with electric current conduction and resistance, electromotive force between bodies in contact, electrolysis, the mathematical theory of the distribution of electric currents, and other topics.
    Pages: Online-Ressource (XXIV, 500 Seiten)
    Edition: 3rd unabridged ed.
    ISBN: 0486606376
    URL: https://archive.org/details/ATreatiseOnElectricityMagnetism-Volume2
    Language: English
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