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THE GEOMETRY OF PHYSICS

INTRODUCTION, AN


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Sinopse

This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should also be of interest to mathematics students.

Detalhes do Produto

    • Edição:  1
    • Ano:  1999
    • País de Produção: United States
    • Código de Barras:  9780521387538
    • ISBN:  0521387531
    • Encadernação:  BROCHURA
    • Complemento:  NENHUM
    • Nº de Páginas:  624

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