Geometry, Symmetries, and Classical Physics

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A01=Manousos Markoutsakis
advanced undergraduate physics
Author_Manousos Markoutsakis
Category=PBM
Category=PH
Conformal Algebra
Conformal Transformations
Connection Coefficients
conservation laws theoretical
Covariant Derivatives
differential geometry applications
Dirac Field
Energy Momentum Tensors
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Euler Lagrange Equations
field theory
Galilei Transformations
gauge
general relativity
Geometric Manifold
Killing Vector
Killing Vectors
Lagrangian Density
Lie Algebra
Lie Group
Lorentz Transformations
mathematical physics methods
mechanics
Minkowski Space
Noether Current
Ricci Tensor
Riemannian curvature analysis
Semidirect Product
Spacelike Hypersurface
Spinor Field
symmetry in classical field theory
symmetry principles physics
Symmetry Transformation
Tensor Field
Vector Field
Weyl Tensor

Product details

  • ISBN 9780367541415
  • Weight: 1260g
  • Dimensions: 178 x 254mm
  • Publication Date: 29 Jan 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics. Readers, working through the book, will obtain a thorough understanding of symmetry principles and their application in mechanics, field theory, and general relativity, and in addition acquire the necessary calculational skills to tackle more sophisticated questions in theoretical physics.

Most of the topics covered in this book have previously only been scattered across many different sources of literature, therefore this is the first book to coherently present this treatment of topics in one comprehensive volume.

Key features:

  • Contains a modern, streamlined presentation of classical topics, which are normally taught separately
  • Includes several advanced topics, such as the Belinfante energy-momentum tensor, the Weyl-Schouten theorem, the derivation of Noether currents for diffeomorphisms, and the definition of conserved integrals in general relativity
  • Focuses on the clear presentation of the mathematical notions and calculational technique

Manousos Markoutsakis is the Director of AI and HPC (Europe) at DataDirect Networks Inc, where he is responsible for managing the company's engagements in industry and academic institutions. Previously, he worked at IBM, where he was responsible for the company's private-public collaborations in European research and industry. He graduated in physics at the University of Heidelberg, where he worked on nonperturbative QCD. Manousos is a member of the German Physical Society (DPG) and the Bitkom Association.

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