Physical mathematics

著者

• Cahill, Kevin

書誌事項

Physical mathematics

Kevin Cahill

Cambridge University Press, 2013

注記

Includes bibliographical references and index

内容説明・目次

内容説明

Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.

目次

• Preface
• 1. Linear algebra
• 2. Fourier series
• 3. Fourier and Laplace transforms
• 4. Infinite series
• 5. Complex-variable theory
• 6. Differential equations
• 7. Integral equations
• 8. Legendre functions
• 9. Bessel functions
• 10. Group theory
• 11. Tensors and local symmetries
• 12. Forms
• 13. Probability and statistics
• 14. Monte Carlo methods
• 15. Functional derivatives
• 16. Path integrals
• 17. The renormalization group
• 18. Chaos and fractals
• 19. Strings
• Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB12313514
• ISBN:
  • 9781107005211
• LCCN: 2012036027
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: xvii, 666 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QC20.C24
  • DC23 : 530.15
• 件名:
  • LCSH : Mathematical physics