A Course in Modern Mathematical Physics

$88.02 (as of October 12, 2017, 6:26 pm) & FREE Shipping. Details

Content Summary:

  1. Sets and Structures
  2. Groups
  3. Vector Spaces
  4. Linear Operators and Matrices
  5. Inner Product Spaces
  6. Algebras
  7. Tensors
  8. Exterior Algebra
  9. Special Relativity
  10. Topology
  11. Measure Theory and Integration
  12. Distributions
  13. Hilbert Spaces
  14. Quantum Mechanics
  15. Differential Geometry
  16. Differentiable Forms
  17. Integration on Manifolds
  18. Connections and Curvature
  19. Lie Groups and Lie Algebras

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Description

This course on mathematical physics by Szekeres has a reputation of being a quick, yet an in-depth overview of the core concepts of mathematical physics. One obvious advantage is the “tiny” size of the book — being more than twice as short as the book in the previous entry, A Course of Modern Mathematical covers roughly the same material.

Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. A Course of Modern Mathematical Physics, a beautifully crafted book in its selection of topics to cover, presents in an elegant manner a magnificent overview of how classic areas such as algebra, topology, vector spaces and differential geometry form a consistent and unified language. Peter Szekeres’s style is clear, thorough and immensely readable. Other main areas covered include tensor algebra, differential geometry, topology, Lie groups and Lie algebras, distribution theory, fundamental analysis and Hilbert spaces. The book also includes exercises aimed to test the students’ understanding of the various concepts, as well as to extend the text’s themes.

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