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Good math methods in physics book?

  1. Feb 19, 2010 #1
    Hello. I am looking for a good math methods in physics book. I am currently taking Mathematical methods in physics at my university. The tutorial we use isn't very helpful. Does anyone have any suggestions?
     
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  3. Feb 19, 2010 #2
    Lots of people like Boas, I don't have it though. Courant and Hilbert is classic I guess, real in depth with way more than you would ever cover in a course though. I also have Menzel which is good I guess.
     
  4. Feb 19, 2010 #3

    ZapperZ

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  5. Feb 19, 2010 #4

    dx

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    I would also suggest "Spacetime, Geometry and Cosmology" by William Burke as a very good first introduction to what is called 'calculus on manifolds' which has become indispensable for modern physicists, but is not usually treated in the older 'mathematical methods for physicists'-type books like Boas.
     
  6. Feb 19, 2010 #5
    Thanks for the suggestions.
     
  7. Feb 19, 2010 #6

    George Jones

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    At what level? Does the course has assigned or recommended texts?

    At the most introductory level there is Basic Training in Mathematics: A Fitness Program for Science Students by R. Shankar,

    https://www.amazon.com/Basic-Training-Mathematics-Fitness-Students/dp/0306450356/ref=ntt_at_ep_dpi_2.

    I, too, recommend https://www.amazon.com/Mathematical...sr_1_3?ie=UTF8&s=books&qid=1213011834&sr=1-3" by Boas, which is a standard text for junior-level mathematical method courses. I wasn't very familiar with this book until I used as the text for a course that I taught a few years ago

    https://www.amazon.com/Mathematical...sr_1_1?ie=UTF8&s=books&qid=1213011961&sr=1-1" by Arfken and Weber is a standard text for grad-level (or possibly senior-level) mathematical methods courses.
     
    Last edited by a moderator: May 4, 2017
  8. Feb 19, 2010 #7
    Thanks. The course is taken over 3 semesters. One is at the end of you sophomore year (spring), and the other is in the beginning of your junior year (fall). There is a "tutorial" that was put together by a Professor Emeritus of Physics at my university. I believe the course is 7-8 years old by now. I can give you the table of contents for the first and second semesters.
    1st:
    Complex Arithmetic
    FODEs
    SOLDEs
    "Trigg" Functions
    Vector Algebra and intro to Matrices
    Matrix theory
    Orthogonal functions and Fourier Series
    One-Dimenisonal Wave Equation

    2nd half:
    Vector Calculus
    The delta function
    Fourier Transforms
    PDEs
    Bessel Functions
    Legendre Polynomials
    Associated Legendre functions and spherical harmonics
    Sturm-Liouville Theory and Orthogonal Functions
    Analytic Function theory
     
    Last edited by a moderator: May 4, 2017
  9. Feb 19, 2010 #8
    Although the text I'm going to mention is more advanced than the class you've described, I feel that it is indispensable to understanding deep structural connections within physics. It is "Mathematical Physics" by Robert Geroch. It is not computational but proof based, though it gives a very deep insight into the relationship between mathematics and physics from a more formal (and structuralist) point of view.
     
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