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(Ebook PDF) The Geometry of Physics An Introduction 3rd Edition by Theodore Frankel isbn 9781139154147 1139154141 full chapters

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The Geometry of Physics An Introduction 3rd Edition Theodore Frankel Digital Instant Download

Author(s): Theodore Frankel
ISBN(s): 9781107602601, 1107602602
Edition: 3
File Details: PDF, 6.26 MB
Year: 2011
Language: english
SKU: EB-5067410 Category: Tag:

(Ebook PDF) The Geometry of Physics An Introduction 3rd Edition by Theodore Frankel -Ebook PDF Instant Download/Delivery:9781139154147, 1139154141

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Product details:

ISBN 10:1139154141

ISBN 13:9781139154147

Author: Theodore Frankel

This book provides 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 (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan’s exterior differential forms, which previews many of the geometric concepts developed in the text.

Table of Contents:

PART ONE: Manifolds, Tensors, and Exterior Forms

  • CHAPTER 1: Manifolds and Vector Fields
  • CHAPTER 2: Tensors and Exterior Forms
  • CHAPTER 3: Integration of Differential Forms
  • CHAPTER 4: The Lie Derivative
  • CHAPTER 5: The Poincaré Lemma and Potentials
  • CHAPTER 6: Holonomic and Nonholonomic Constraints

PART TWO: Geometry and Topology

  • CHAPTER 7: R³ and Minkowski Space
  • CHAPTER 8: The Geometry of Surfaces in R³
  • CHAPTER 9: Covariant Differentiation and Curvature
  • CHAPTER 10: Geodesics
  • CHAPTER 11: Relativity, Tensors, and Curvature
  • CHAPTER 12: Curvature and Topology: Synge’s Theorem
  • CHAPTER 13: Betti Numbers and De Rham’s Theorem
  • CHAPTER 14: Harmonic Forms

PART THREE: Lie Groups, Bundles, and Chern Forms

  • CHAPTER 15: Lie Groups
  • CHAPTER 16: Vector Bundles in Geometry and Physics
  • CHAPTER 17: Fiber Bundles, Gauss–Bonnet, and Topological Quantization
  • CHAPTER 18: Connections and Associated Bundles
  • CHAPTER 19: The Dirac Equation
  • CHAPTER 20: Yang–Mills Fields
  • CHAPTER 21 Betti Numbers and Covering Spaces
  • CHAPTER 22 Chern Forms and Homotopy Groups

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Geometry,Physics,Theodore Frankel