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Geometry of Classical Fields

2011-11-30 Mathematics
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Release : 2011-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 445/5 ( reviews)

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Book Synopsis Geometry of Classical Fields by : Ernst Binz

Download or read book Geometry of Classical Fields written by Ernst Binz. This book was released on 2011-11-30. Available in PDF, EPUB and Kindle. Book excerpt: A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.

Geometry, Symmetries, and Classical Physics

2021-12-29 Science
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Release : 2021-12-29
Genre : Science
Kind : eBook
Book Rating : 264/5 ( reviews)

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Book Synopsis Geometry, Symmetries, and Classical Physics by : Manousos Markoutsakis

Download or read book Geometry, Symmetries, and Classical Physics written by Manousos Markoutsakis. This book was released on 2021-12-29. Available in PDF, EPUB and Kindle. Book excerpt: This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics. Readers, working through the book, will obtain a thorough understanding of symmetry principles and their application in mechanics, field theory, and general relativity, and in addition acquire the necessary calculational skills to tackle more sophisticated questions in theoretical physics. Most of the topics covered in this book have previously only been scattered across many different sources of literature, therefore this is the first book to coherently present this treatment of topics in one comprehensive volume. Key features: Contains a modern, streamlined presentation of classical topics, which are normally taught separately Includes several advanced topics, such as the Belinfante energy-momentum tensor, the Weyl-Schouten theorem, the derivation of Noether currents for diffeomorphisms, and the definition of conserved integrals in general relativity Focuses on the clear presentation of the mathematical notions and calculational technique

Geometry of Classical Fields

1988-01-01 Mathematics
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Release : 1988-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 440/5 ( reviews)

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Book Synopsis Geometry of Classical Fields by : Ernst Binz

Download or read book Geometry of Classical Fields written by Ernst Binz. This book was released on 1988-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action.

Geometry and Quantum Field Theory

1995 Science
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Release : 1995
Genre : Science
Kind : eBook
Book Rating : 830/5 ( reviews)

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Book Synopsis Geometry and Quantum Field Theory by : Daniel S. Freed

Download or read book Geometry and Quantum Field Theory written by Daniel S. Freed. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students. The book provides an entree into a field that promises to remain exciting and important for years to come.

Natural and Gauge Natural Formalism for Classical Field Theorie

2003-11-30 Science
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Release : 2003-11-30
Genre : Science
Kind : eBook
Book Rating : 032/5 ( reviews)

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Book Synopsis Natural and Gauge Natural Formalism for Classical Field Theorie by : L. Fatibene

Download or read book Natural and Gauge Natural Formalism for Classical Field Theorie written by L. Fatibene. This book was released on 2003-11-30. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail. Spinor fields in particular appear to be the prototypes of truly gauge-natural objects, which are not purely gauge nor purely natural, so that they are a paradigmatic example of the intriguing relations between gauge natural geometry and physical phenomenology. In particular, the gauge natural framework for spinors is developed in this book in full detail, and it is shown to be fundamentally related to the interaction between fermions and dynamical tetrad gravity.

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