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Carte Modern Differential Geometry For Physicists (2nd Edition) C. J. Isham

Modern Differential Geometry For Physicists (2nd Edition)

Autor: C. J. Isham
Limbă: engleză
Legare: Carte broșată
Editura: World Scientific Publishing Co Pte Ltd
Disponibilitate: În depozitul extern
Expediem în 14-21 zile
245.20 lei
These lecture notes are the content of an introductory course on modern, co-ordinate-free differenti...

Informații despre carte

Autor
C. J. Isham
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
1999
Pagini
304
EAN
9789810235628
ISBN
9810235623
Enbook ID
05066087
Editura
World Scientific Publishing Co Pte Ltd
Greutate
452
Dimensiuni
153 x 216 x 17

Descriere completă

These lecture notes are the content of an introductory course on modern, co-ordinate-free differential geometry which is taken by first-year theoretical physics PhD students, or by students attending the one-year MSc course, "Fundamental Fields and Forces" at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen bearing in mind the way in which differential geometry is applied to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, nonlinear sigma models and other types of nonlinear field systems that feature in modern quantum field theory. This edition of the text contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made. The volume is divided into four parts. The first provides an introduction to general topology, the second covers introductory co-ordinate-free differential geometry, the third examines geometrical aspects of the theory of Lie groups and Lie group actions on manifolds, and the fourth provides an introduction to the theory of fibre bundles. In the introduction to differential geometry the author lays considerable stress on the basic ideas of "tangent space structure", which he develops from several different points of view - some geometrical, others more algebraic.

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