Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics)

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9780821846308: Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics)
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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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1.

Takhtajan, Leon A.
Editorial: American Mathematical Society, United States (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
Nuevos Tapa dura Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2008. Hardback. Estado de conservación: New. 257 x 180 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821846308

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Takhtajan, Leon A.
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218463080000000

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3.

Takhtajan, Leon A.
Editorial: American Mathematical Society, United States (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
Nuevos Tapa dura Cantidad: 1
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The Book Depository
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2008. Hardback. Estado de conservación: New. 257 x 180 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821846308

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4.

Takhtajan, Leon A.
Editorial: American Mathematical Society
ISBN 10: 0821846302 ISBN 13: 9780821846308
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THE SAINT BOOKSTORE
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, Quantum Mechanics for Mathematicians, A. Takhtajan-Leon, 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. Nº de ref. de la librería B9780821846308

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Takhtajan, Leon A.
Editorial: American Mathematical Society (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Ergodebooks
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Descripción American Mathematical Society, 2008. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821846302

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Takhtajan, Leon A.
Editorial: American Mathematical Society (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Irish Booksellers
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Descripción American Mathematical Society, 2008. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0821846302

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Takhtajan, Leon A.
Editorial: Amer Mathematical Society (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Revaluation Books
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Descripción Amer Mathematical Society, 2008. Hardcover. Estado de conservación: Brand New. 389 pages. 10.10x7.10x1.20 inches. In Stock. Nº de ref. de la librería __0821846302

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Takhtajan, Leon A.
Editorial: American Mathematical Society (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Book Deals
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Descripción American Mathematical Society, 2008. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: 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 quantummechanics. 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. Nº de ref. de la librería ABE_book_new_0821846302

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Takhtajan, Leon A.
Editorial: American Mathematical Society (2008)
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Descripción American Mathematical Society, 2008. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110821846302

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Takhtajan, Leon A.
Editorial: American Mathematical Society
ISBN 10: 0821846302 ISBN 13: 9780821846308
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Cloud 9 Books
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Descripción American Mathematical Society. Hardcover. Estado de conservación: New. 0821846302 New Condition. Nº de ref. de la librería NEW6.0510775

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