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  3. A Course in Mathematics for Students of Physics
  • Cited by 20
      • Volume 1
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2013
      October 1988
      ISBN:
      9781139171670
      9780521406499
      DOI:
      https://doi.org/10.1017/CBO9781139171670
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.73kg, 424 Pages
      • Subjects:
      Mathematics, Mathematical Modeling and Methods
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    Subjects:
    Mathematics, Mathematical Modeling and Methods
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    Book description

    This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

    Reviews

    ‘… a very well readable and highly recommendable addition to the existing courses in mathematics for students of physics.’

    Source: Zentralblatt für Mathematik und Ihre Grenzgebiete

    ‘… there is to my knowledge no comparable book, and it is hard to imagine a more inspiring one.’

    Source: The Times Higher Education Supplement

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