Takhtajan leon a (55 resultados)

Hardcover. Condición: Comme neuf. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, As new. Ammareal gives back up to 15% of this item's net price to charity organizations.

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Softcover/Paperback. Condición: Gut. vi, 119 Seiten. Ehemaliges Bibliotheksexemplar mit entsprechenden Markierungen, laminiert. Gut erhalten. 9780821839362 Sprache: Englisch Gewicht in Gramm: 1200 (Memoirs of the American Mathematical Society, Number 861.).

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Paperback. Condición: New. The aim of this book is to give a comprehensive treatment of the majority of important classical field theory from the mathematics perspective. The opening Part 1 gives the exposition of classical mechanics and special relativity that are based on the Hamiltonian approach and emphasizes the Hamiltonian action of the relevant Lie groups. Part 2 bridges classical mechanics and classical field theory. The authors develop all necessary tools: Lagrangian formulation of classical field theory, conservation laws, the Noether theorem, and Hamiltonian formulation. They present all necessary facts about jet bundles, multivariable calculus of variations, etc. Part 3 discusses gauge field theory: Maxwell's theory with the abelian structure group $U(1)$, and Yang-Mills theory with the structure group being semisimple compact Lie groups. For the convenience of the reader, the authors collect all necessary facts about connections and curvature in vector and principal bundles. In Part 4 the authors briefly discuss the theory of gravity, i.e., Einstein's general relativity. The goal here is to give a coherent mathematical exposition of the basic notions. After careful discussion of properties of the spacetime in general relativity and a standard derivation of Einstein's field equations with matter, the authors discuss the so-called Palatini formalism, an approach to Hilbert-Einstein action when 10 matrix elements of the metric tensor and 40 components of the symmetric Christoffel symbols are independent variables. They also briefly discuss Hamiltonian formalism for Einstein equations and their special solutions, with and without the cosmological constant. Each chapter in the book concludes with exercises aimed at developing deeper insights into topics discussed in the chapter. Also, each part concludes with a ""Notes and References"" chapter, which provides references to necessary mathematics background and physics sources.…

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Condición: New. Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin. Series: Graduate Studies in Mathematics. Num Pages: 389 pages. BIC Classification: PBW; PHQ. Category: (UU) Undergraduate. Weight in Grams: 886. . 2008. UK ed. Hardcover. . . . .…

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Hardcover. Condición: Brand New. uk ed. edition. 387 pages. 10.10x7.10x1.20 inches. In Stock.

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Hardback. Condición: New. This book provides a comprehensive treatment of quantum mechanics from a mathematics perspective and is accessible to mathematicians starting with second-year graduate students. It addition to traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin, and it introduces the reader to functional methods in quantum mechanics. This includes the Feynman path integral approach to quantum mechanics, integration in functional spaces, the relation between Feynman and Wiener integrals, Gaussian integration and regularized determinants of differential operators, fermion systems and integration over anticommuting (Grassmann) variables, supersymmetry and localization in loop spaces, and supersymmetric derivation of the Atiyah-Singer formula for the index of the Dirac operator. Prior to this book, mathematicians could find these topics only in physics textbooks and in specialized literature. This book is written in a concise style with careful attention to precise mathematics formulation of methods and results.Numerous problems, from routine to advanced, help the reader to master the subject. In addition to providing a fundamental knowledge of quantum mechanics, this book could also serve as a bridge for studying more advanced topics in quantum physics, among them quantum field theory. Prerequisites include standard first-year graduate courses covering linear and abstract algebra, topology and geometry, and real and complex analysis.…

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Condición: New. Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin. Series: Graduate Studies in Mathematics. Num Pages: 389 pages. BIC Classification: PBW; PHQ. Category: (UU) Undergraduate. Weight in Grams: 886. . 2008. UK ed. Hardcover. . . . . Books ship from the US and Ireland.…

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Condición: New. pp. xv + 387.

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Condición: Gut. Zustand: Gut | Seiten: 634 | Sprache: Englisch | Produktart: Bücher | Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots. Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including "Faddeev's equations" and "Faddeev's Green function" in scattering theory, "Faddeev-Popov ghosts" and "Faddeev-Popov determinant" in gauge theories, "Gardner-Faddeev-Zakharov bracket" for the KdV equation, "Faddeev-Zamolodchikov algebra" in quantum integrable systems, "Faddeev-Reshetikhin-Takhtajan construction" in the theory of quantum groups, knotted solitons in the "Skyrme-Faddeev model" and many others. Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986-1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.…

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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 634 | Sprache: Englisch | Produktart: Bücher | Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots. Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including "Faddeev's equations" and "Faddeev's Green function" in scattering theory, "Faddeev-Popov ghosts" and "Faddeev-Popov determinant" in gauge theories, "Gardner-Faddeev-Zakharov bracket" for the KdV equation, "Faddeev-Zamolodchikov algebra" in quantum integrable systems, "Faddeev-Reshetikhin-Takhtajan construction" in the theory of quantum groups, knotted solitons in the "Skyrme-Faddeev model" and many others. Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986-1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.…

Condición: New. pp. xv + 387.

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Paperback. Condición: New. The aim of this book is to give a comprehensive treatment of the majority of important classical field theory from the mathematics perspective. The opening Part 1 gives the exposition of classical mechanics and special relativity that are based on the Hamiltonian approach and emphasizes the Hamiltonian action of the relevant Lie groups. Part 2 bridges classical mechanics and classical field theory. The authors develop all necessary tools: Lagrangian formulation of classical field theory, conservation laws, the Noether theorem, and Hamiltonian formulation. They present all necessary facts about jet bundles, multivariable calculus of variations, etc. Part 3 discusses gauge field theory: Maxwell's theory with the abelian structure group $U(1)$, and Yang-Mills theory with the structure group being semisimple compact Lie groups. For the convenience of the reader, the authors collect all necessary facts about connections and curvature in vector and principal bundles. In Part 4 the authors briefly discuss the theory of gravity, i.e., Einstein's general relativity. The goal here is to give a coherent mathematical exposition of the basic notions. After careful discussion of properties of the spacetime in general relativity and a standard derivation of Einstein's field equations with matter, the authors discuss the so-called Palatini formalism, an approach to Hilbert-Einstein action when 10 matrix elements of the metric tensor and 40 components of the symmetric Christoffel symbols are independent variables. They also briefly discuss Hamiltonian formalism for Einstein equations and their special solutions, with and without the cosmological constant. Each chapter in the book concludes with exercises aimed at developing deeper insights into topics discussed in the chapter. Also, each part concludes with a ""Notes and References"" chapter, which provides references to necessary mathematics background and physics sources.…