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Author:   John C Baez (Univ Of California, Riverside, Usa & Centre For Quantum Technologies, S'pore) ,  Javier P Muniain (Univ Of California, Riverside, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   4
Dimensions:   Width: 15.70cm , Height: 3.00cm , Length: 22.00cm
Weight:   0.794kg
ISBN:  

9789810217297

ISBN 10:   9810217293
Pages:   480
Publication Date:   01 October 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Electromagnetism: Maxwell's Equations; Manifolds; Vector Fields and Tangent Vectors; Differential Forms; Rewriting Maxwell's Equations; De Rham Theory in Electromagnetism; Braids, Knots and Electromagnetism; Quantizing the Free Electromagnetic Field; Gauge Theory.- Gauge Groups; Connections and Parallel Transport; Curvature and the Yang-Mills Equations; Chern-Simons Theory; Link Invariants from Gauge Theory. Gravity: Riemannian and Lorentzian Geometry; Einstein's Equations; The Lagrangian Approach to General Relativity; The ADM Formalism; The New Variables; Knots and Quantum Gravity.

Reviews

This book is a great introduction to many of the modern ideas of mathematical physics including differential geometry, group theory, knot theory and topology. It uses as 'physical excuses' to introduce these topics Maxwell theory, Yang-Mills theories and general relativity (including its Ashtekar reformulation). The level of the book is gauged to advanced physics/math undergraduates and graduate students. The style of the book is quite lively and explanations are very clear. The treatment is mathematically and physically self-contained ... I would strongly recommend this nicely written book for anyone interested in teaching the contemporary ideas of mathematical physics to an audience of physicists (especially if that audience is interested in particle physics/gravity). It offers an excellent way of treating the subject with mathematical rigor while keeping the physical motivation and usefulness of these mathematical concepts close at hand. For the individual reader, it is a great way to be lured into the study of the mathematics that underlies contemporary theoretical physics.

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