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by Welington de Melo,Edson de Faria

Download Mathematical Aspects of Quantum Field Theory (Cambridge Studies in Advanced Mathematics) fb2, epub

ISBN: 0521115779
Author: Welington de Melo,Edson de Faria
Language: English
Publisher: Cambridge University Press; 1 edition (September 27, 2010)
Pages: 314
Category: Physics
Subcategory: Science
Rating: 4.6
Votes: 575
Size Fb2: 1126 kb
Size ePub: 1519 kb
Size Djvu: 1384 kb
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Series: Cambridge Studies in Advanced Mathematics (Book 127). Hardcover: 314 pages. A book of this sort is difficult to write. You have to determine if you are writing it as a mathematics book or a physics book

Series: Cambridge Studies in Advanced Mathematics (Book 127). You have to determine if you are writing it as a mathematics book or a physics book. This book starts out well down the track of a mathematics book but it strays and gets confused by about half way through. It doesn't give the physicists the insights to why certain mathematical constructs are used nor does it give the mathematical rigor that should be present for the mathematical.

Frederic Paugam: Towards the Mathematics of Quantum Field Theory

Frederic Paugam: Towards the Mathematics of Quantum Field Theory. Jahresbericht der Deutschen gung, Vol. 117, Issue. Edson de Faria, Universidade de São Paulo, Welington de Melo, IMPA, Rio de Janeiro. Publisher: Cambridge University Press. Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics.

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience.

de Faria, . de Melo, . Mathematical Aspects of Quantum Field Theory. Cambridge Studies in Advanced Mathematics, vol. 127. Cambridge University Press, Cambridge (2010). So. Institute for Advanced Study, Providence, Princeton (1999). Quantum Field Theory. A Tourist Guide for Mathematicians. Mathematical Surveys and Monographs, vol. 149. Am. Math.

The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory.

162 results in Cambridge Studies in Advanced Mathematics. Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. Relevance Title Sorted by Date. Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras.

Download Mathematical Aspects of Quantum Field Theory (Cambridge Studies in Advanced Mathema.

Автор: de Faria Название: Mathematical Aspects of Quantum Field Theory Издательство: Cambridge Academ .

Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model.

115 ; Edson de Faria, Welington de Melo ; Mathematical tools for one-dimensional dynamics ; 9780521888615. 127 ; Edson de Faria, Welington de Melo ; Mathematical aspects of quantum field theory ; 9780521115773. 117 ; Tamás Szamuely ; Galois groups and fundamental groups ; 9780521888509. 128 ; Audrey Terras ; Zeta functions of graphs: A stroll through the garden ; 9780521113670. 129 ; Dorian Goldfeld, Joseph Hundley ; Automorphic representations and L-functions for the general linear group, volume I ; 9780521474238.

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.

Comments:

Saberblade
A book of this sort is difficult to write. You have to determine if you are writing it as a mathematics book or a physics book. This book starts out well down the track of a mathematics book but it strays and gets confused by about half way through. It doesn't give the physicists the insights to why certain mathematical constructs are used nor does it give the mathematical rigor that should be present for the mathematical. However, with all its short comings it is a good mathematical survey of quantum field theory.
Budar
This product reviews in a perfect way gauge theory and the standard model and gives a very clear background of the mathematical machinrey behind it.
Congratulations to those who will read it.

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