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Mathematical physics (book list)

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This is a section of the Basic Math Library List


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12. Mathematical physics
    Quantum mechanics. Quantum field theory. General relativity. Statistical mechanics and random media. 
    Integrable systems. Electromagnetism, String theory, condensed matter, fluid dynamics, 
    multifield physics (e.g. fluid/waves, fluid/solids, etc.).
    Connections with sections  4, 5, 6, 7, 8, 9, 10, 11, 13.




General

Friedman, Avner. Mathematics in Industrial Problems New York, NY: Springer-Verlag, 1988, 1989.

Friedman, Bernard. Lectures on Applications-Oriented Mathematics San Francisco, CA: Holden-Day, 1969.

Geroch, Robert. Mathematical Physics Chicago, IL: University of Chicago Press, 1985.

    • Hochstadt, Harry. The Functions of Mathematical Physics New York, NY: John Wiley, 1971.

Ledermann, Walter and Vajda, Steven, eds. Analysis New York, NY: John Wiley, 1982. Handbook of Applicable Mathematics, Volume IV.

  • Noble, Ben. Applications of Undergraduate Mathematics in Engineering Washington, DC: Mathematical Association of America, 1967.

Pearson, Carl E., ed. Handbook of Applied Mathematics: Selected Results and Methods, New York, NY: Van Nostrand Reinhold, 1974, 1983. Second Edition.

    • Polya, George. Mathematical Methods in Science Washington, DC: Mathematical Association of America, 1977.
  • Sutton, O.G. Mathematics in Action Mineola, NY: Dover, 1966, 1984.

Taub, A.H., ed. Studies in Applied Mathematics Washington, DC: Mathematical Association of America, 1971.

  • Townend, M. Stewart. Mathematics in Sport New York, NY: Halsted Press, 1984.

Wallace, Philip R. Mathematical Analysis of Physical Problems Mineola, NY: Dover, 1984.


Introductory Texts

Boas, Mary L. Mathematical Methods in the Physical Sciences New York, NY: John Wiley, 1966.

Cochran, James A. Applied Mathematics: Principles, Techniques, and Applications Belmont, CA: Wadsworth, 1982.

Davies, Glyn A.O., ed. Mathematical Methods in Engineering New York, NY: John Wiley, 1984.

  • Friedman, Bernard. Principles and Techniques of Applied Mathematics New York, NY: John Wiley, 1956.
    • Greenberg, Michael D. Foundations of Applied Mathematics Englewood Cliffs, NJ: Prentice Hall, 1978.

Keener, James P. Principles of Applied Mathematics: Transformation and Approximation Reading, MA: Addison-Wesley, 1988.

  • Kovach, Ladis D. Advanced Engineering Mathematics Reading, MA: Addison-Wesley, 1982.

Kreyszig, Erwin. Advanced Engineering Mathematics, New York, NY: John Wiley, 1972, 1983. Fifth Edition.

Mathews, Jon and Walker, Robert J. Mathematical Methods of Physics Reading, MA: W.A. Benjamin, 1970.

Meyer, Richard M. Essential Mathematics for Applied Fields New York, NY: Springer-Verlag, 1979.

  • Pollard, Harry. Introduction to Applied Mathematics Reading, MA: Addison-Wesley, 1972.

Sirovich, L. Introduction to Applied Mathematics New York, NY: Springer-Verlag, 1988.

Sokolnikoff, Ivan S. and Redheffer, Raymond M. Mathematics of Physics and Modern Engineering, New York, NY: McGraw-Hill, 1966. Second Edition.

      • Strang, Gilbert. Introduction to Applied Mathematics Wellesley, MA: Wellesley-Cambridge Press, 1986.

Wylie, Clarence R. Advanced Engineering Mathematics, New York, NY: McGraw-Hill, 1966. Third Edition.


Advanced Surveys

Bender, Carl and Orszag, Steven. Advanced Mathematical Methods for Scientists and Engineers New York, NY: McGraw-Hill, 1978.

      • Courant, Richard and Hilbert, David. Methods of Mathematical Physics, New York, NY: John Wiley, 1974, 1989. 2 Vols.
  • Jeffreys, Sir Harold and Jeffreys, Bertha S. Methods of Mathematical Physics, New York, NY: Cambridge University Press, 1956. Third Edition.
    • Lin, C.C. and Segel, Lee A. Mathematics Applied to Deterministic Problems in the Natural Sciences New York, NY: Macmillan, 1974.

Nowinski, J.L. Applications of Functional Analysis in Engineering New York, NY: Plenum Press, 1981.

  • Reed, Michael and Simon, Barry. Methods of Modern Mathematical Physics, New York, NY: Academic Press, 1972--79. 4 Vols.

Stakgold, Ivar. Boundary Value Problems in Mathematical Physics, New York, NY: Macmillan, 1968. 2 Vols.

  • Thompson, J.M.T. Instabilities and Catastrophes in Science and Engineering New York, NY: John Wiley, 1982.

Zadeh, Lotfi and Desoer, C.A. Linear Systems Theory New York, NY: McGraw-Hill, 1963.

von Westenholz, C. Differential Forms in Mathematical Physics Amsterdam: North-Holland, 1978.


Elasticity and Solid Mechanics

  • Fung, Y.C. Foundations of Solid Mechanics Englewood Cliffs, NJ: Prentice Hall, 1965.

Green, A.E. and Zerna, W. Theoretical Elasticity, New York, NY: Oxford University Press, 1968. Second Edition.

Hertzberg, Richard W. Deformation and Fracture Mechanics of Engineering Materials, New York, NY: John Wiley, 1976, 1989. Third Edition.

    • Hill, R. The Mathematical Theory of Plasticity New York, NY: Oxford University Press, 1983.
      • Love, A.E.H. Treatise on the Mathematical Theory of Elasticity, Mineola, NY: Dover, 1956. Fourth Revised Edition.

Meisovitch, Leonard. Elements of Vibration Analysis, New York, NY: McGraw-Hill, 1975, 1986. Second Edition.

  • Sokolnikoff, Ivan S. Mathematical Theory of Elasticity, Melbourne, FL: Robert E. Krieger, 1983. Second Edition.
    • Stoker, J.J. Nonlinear Vibrations in Mechanical and Electrical Systems New York, NY: Interscience, 1950.
  • Timoshenko, Stephen and Goodier, J.N. Theory of Elasticity, New York, NY: McGraw-Hill, 1934, 1951. Second Edition.

Timoshenko, Stephen and Woinowsky-Krieger, S. Theory of Plates and Shells, New York, NY: McGraw-Hill, 1959. Second Edition.

Timoshenko, Stephen. Theory of Elastic Stability, New York, NY: McGraw-Hill, 1961. Second Edition.


Quantum Mechanics

Bethe, Hans A. and Salpeter, Edwin E. Quantum Mechanics for One- and Two-Electron Atoms New York, NY: Plenum Press, 1977.

Chesnut, D.B. Finite Groups and Quantum Theory Melbourne, FL: Robert E. Krieger, 1982.

DeWitt, Bryce S. and Graham, Neill, eds. The Many-Worlds Interpretation of Quantum Mechanics Princeton, NJ: Princeton University Press, 1973.

  • Gutzwiller, Martin C. Chaos in Classical and Quantum Mechanics New York, NY: Springer-Verlag, 1990.

Jordan, Thomas F. Quantum Mechanics in Simple Matrix Form New York, NY: John Wiley, 1986.

Mackey, George W. The Mathematical Foundations of Quantum Mechanics Reading, MA: W.A. Benjamin, 1963.

  • d'Espagnat, Bernard. Conceptual Foundations of Quantum Mechanics, Redwood City, CA: Benjamin Cummings, 1976. Second Edition.


Mechanics

Angeles, Jorge. Rational Kinematics New York, NY: Springer-Verlag, 1988.

    • Arnold, V.I. Mathematical Methods of Classical Mechanics, New York, NY: Springer-Verlag, 1978, 1989. Second Edition.
      • Goldstein, Herbert. Classical Mechanics Reading, MA: Addison-Wesley, 1950.

Lanczos, Cornelius. Variational Principles of Mechanics, Toronto: University of Toronto Press, 1970. Fourth Edition.

Rasband, S. Neil. Dynamics New York, NY: John Wiley, 1983.


Relativity

Calder, Nigel. Einstein's Universe New York, NY: Viking Press, 1979.

Clarke, C. Elementary General Relativity New York, NY: John Wiley, 1979.

Eddington, Arthur S. The Mathematical Theory of Relativity, New York, NY: Chelsea, 1975. Third Edition.

Einstein, Albert. Relativity: The Special and the General Theory New York, NY: Crown 1961.

Einstein, Albert. The Meaning of Relativity Princeton, NJ: Princeton University Press, 1946, 1953. Fourth Edition.

    • Geroch, Robert. General Relativity from A to B Chicago, IL: University of Chicago Press, 1978.
  • Lawden, Derek F. Elements of Relativity Theory New York, NY: John Wiley, 1985.
  • Lieber, Lillian R. The Einstein Theory of Relativity Corte Madera, CA: Rinehart Press, 1945.
      • Misner, Charles W.; Thorne, Kip S.; and Wheeler, John Archibald. Gravitation New York, NY: W.H. Freeman, 1973.
  • Rindler, Wolfgang. Essential Relativity: Special, General, and Cosmological, New York, NY: Springer-Verlag, 1977. Second Edition.


Cosmology and Celestial Mechanics

Davies, P.C.W. Space and Time in the Modern Universe New York, NY: Cambridge University Press, 1977.

Hoyle, Fred. From Stonehenge to Modern Cosmology New York, NY: W.H. Freeman, 1972.

  • Landsberg, Peter L. and Evans, David A. Mathematical Cosmology: An Introduction New York, NY: Clarendon Press, 1977.
    • Pollard, Harry. Mathematical Introduction to Celestial Mechanics Washington, DC: Mathematical Association of America, 1976.
    • Szebehely, Victor G. Adventures in Celestial Mechanics: A First Course in the Theory of Orbits Austin, TX: University of Texas Press, 1989.

Wald, Robert M. Space, Time, and Gravity: The Theory of the Big Bang and Black Holes Chicago, IL: University of Chicago Press, 1977.


Fluids

  • Acheson, D.J. Elementary Fluid Dynamics New York, NY: Oxford University Press, 1990.
      • Batchelor, George K. Introduction to Fluid Dynamics New York, NY: Cambridge University Press, 1967.

Chorin, A.J. and Marsden, Jerrold E. A Mathematical Introduction to Fluid Mechanics, New York, NY: Springer-Verlag, 1990. Second Edition.

Jones, D.S. Acoustic and Electromagnetic Waves New York, NY: Oxford University Press, 1986.

  • Lamb, Sir Horace. Hydrodynamics, Mineola, NY: Dover, 1956. Sixth Revised Edition.

Langlois, W.E. Slow Viscous Flow New York, NY: Macmillan, 1964.

    • Lighthill, Michael James. An Informal Introduction to Theoretical Fluid Mechanics New York, NY: Oxford University Press, 1986.

Meyer, Richard E. Introduction to Mathematical Fluid Dynamics Mineola, NY: Dover, 1982.

  • Milne-Thomson, L.M. Theoretical Hydrodynamics, New York, NY: St.~Martin's Press, 1960. Fifth Edition.

Segel, Lee A. and Handelman, G.H. Mathematics Applied to Continuum Mechanics New York, NY: Macmillan, 1977.

  • Stoker, J.J. Water Waves: The Mathematical Theory with Applications New York, NY: Interscience, 1957.


Waves

Baldock, G.R. and Bridgeman, T. Mathematical Theory of Wave Motion New York, NY: John Wiley, 1981.

  • Courant, Richard and Friedrichs, Kurt Otto. Supersonic Flow and Shock Waves New York, NY: Springer-Verlag, 1976.

Davis, Julian L. Wave Propagation in Solids and Fluids New York, NY: Springer-Verlag, 1988.

    • Lighthill, Michael James. Waves in Fluids New York, NY: Cambridge University Press, 1978.

Muller, C. Foundations of the Mathematical Theory of Electromagnetic Waves New York, NY: Springer-Verlag, 1969.

  • Rayleigh, Lord John. Theory of Sound, Gloucester, MA: Peter Smith, 1955. 2 Vols., Second Revised Edition.


Tensor Analysis

  • Borisenko, A.I. and Tarapov, I.E. Vector and Tensor Analysis with Applications Mineola, NY: Dover, 1979.

Chorlton, Frank. Vector Tensor Methods New York, NY: John Wiley, 1976.

Lawden, Derek F. An Introduction to Tensor Calculus, Relativity, and Cosmology, New York, NY: John Wiley, 1982. Third Edition.

    • Sokolnikoff, Ivan S. Tensor Analysis: Theory and Applications to Geometry and Mechanics of Continua, New York, NY: John Wiley, 1964. Second Edition.


Appl. to Physical Sciences: Special Topics

Bailey, T.N. and Baston, R.J., eds. Twistors in Mathematics and Physics New York, NY: Cambridge University Press, 1990.

  • Boisen, M.B., Jr. and Gibbs, G.V. Mathematical Crystallography Washington, DC: Mineralogical Society of America, 1985.
  • Ghez, Richard. A Primer of Diffusion Problems New York, NY: John Wiley, 1988.
  • Hart, Derek and Croft, Tony. Modelling with Projectiles New York, NY: Halsted Press, 1988.
  • Isenberg, Cyril. The Science of Soap Films and Soap Bubbles Clevedon: Tieto Ltd., 1978.
    • Owen, David R. A First Course in the Mathematical Foundations of Thermodynamics New York, NY: Springer-Verlag, 1984.

Romanova, M.A. and Sarmanov, O.V., eds. Topics in Mathematical Geology New York, NY: Plenum Press, 1970.

  • Thompson, Colin J. Mathematical Statistical Mechanics Princeton, NJ: Princeton University Press, 1972.

Wood, Elizabeth A. Crystals and Light: An Introduction to Optical Crystallography, Mineola, NY: Dover, 1977. Second Revised Edition.

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