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Applied Mathsee also Mathematical Physics Adler, Berni J. Methods in Computational Physics, Vols. 1-17. New York: Academic Press, 1963-1977. Alexiades, Vasilios and Siopsis, George (Eds.). Trends in Mathematical Physics: Proceedings of the Conference on Trends in Mathematical Physics, October 14-17, 1998, University of Tennessee, Knoxville. Providence, RI: Amer. Math. Soc., 1998. 523 p. $?. Angot, André. Compléments de Mathématiques à l'usage des ingénieurs de l'électrotechnique et des télécommunications, 6ème edition. Paris: Masson, 1972. 809 p. A French classic during 1950-80. Arkfen, George. Mathematical Methods for Physicists, 2nd ed. New York: Academic Press, 1970. 815 p. Second edition of Arkfen's classic text. Chapter 2 of his edition contains a discussion of many additional coordinate systems not included in the third edition. Now out in 4th ed.
Arfken, George B. and Weber, Hans J. Mathematical Methods for Physicists, 4th ed. Orlando, FL: Academic Press, 1995. 952 p. Truly outstanding text on numerous mathematical techniques and operations relevant to the solution of problems in physics. Clearly presented, modern, comprehensive, and full of exercises which are both illuminating and useful. I've read it (well, actually the 3rd ed.) cover-to-cover. 1029 p. $64.95. Arfken, George. Answers to Miscellaneous Problems for Mathematical Methods for Physicists. 1985. $?. Aris, Rutherford. Mathematical Modelling Techniques. New York: Dover, 1994. 269 p. $8.05.
Bateman, H. Partial Differential Equations of Mathematical Physics. New York: Dover, 1944. Blanchard, Philippe and Bruning, Erwin. Variational Methods in Mathematical Physics a Unified Approach. Berlin: Springer-Verlag, 1992. 410 p. $97.95.
Bradbury, Ted Clay. Mathematical Methods with Applications to Problems in the Physical Sciences. New York: Wiley, 1984. 702 p. $?.
Byron, Frederick W. Jr. and Fuller, Robert W. Mathematics of Classical and Quantum Physics. New York: Dover, 1992. 665 $16.95. Collins, Royal Eugene. Mathematical Methods for Physicists and Engineers, 2nd cor. ed. New York: Dover, 1999. 400 p. $16.95.
Courant, Richard and Hilbert, David. Methods of Mathematical Physics, Vol. 2. New York: Wiley, 1989. $64.95. De Vries, Paul L. A First Course in Computational Physics. Wiley, 1994. 440 p. $78.95. Dennery, Phillipe and Krzywicki, André. Mathematics for Physicists. New York; Dover, 1996. 400 p. $12.95. Duffy, Dean G. Advanced Engineering Mathematics. Boca Raton, FL: CRC Press, 1998. $84.95. Frank, Philipp; Mises, Richard von; Weber, Heinrich; and Riemann, Bernhard. Die Differential- und Integralgleichungen der Mechanik und Physik, 2. verm. Aufl., 2 vols. New York: Mary S. Rosenberg, 1943. Zugleich 8. Aufl. von Riemann-Webers Partiellen Differentialgleichungen der mathematischen Physik.
Garcia, Alejandro L. Numerical Methods for Physicists, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2000. 423 p. $?.
Houston, William Vermillion. Principles of Mathematical Physics, 2nd ed. New York: McGraw-Hill, 1948.
Kurtz, Max. Handbook of Applied Mathematics for Engineers and Scientists. 1991. 593. $76.50. Kusse, Bruce and Westwig, Erik. Mathematical Physics. New York: Wiley, 1998. 680 p. $89.95. Lanczos, Cornelius. Applied Analysis. New York: Dover, 1988. 539 p. $13.95. Lass, Harry. Elements of Pure and Applied Mathematics. New York: McGraw-Hill, 1957. 491 p. Logan, J. David. Applied Mathematics, 2nd ed. New York: Wiley, 1997. 496 p. $69.96. Madelung, Erwin. Die Mathematischen Hilfsmittel des Physikers, 7. Auflage. Berlin: Springer-Verlag, 1964. Madelung, Erwin. Die Mathematischen Hilfsmittel des Physikers, 7. Auflage. Berlin: Springer-Verlag, 1964.
Margenau, Henry and Murphy, George Moseley. The Mathematics of Physics and Chemistry, 2 vols. Princeton, NJ: Van Nostrand, 1956-64. Curvilinear coordinates in 13 systems. $?. Mathews, J. and Walker, R.L. Mathematical Methods of Physics, 2nd ed. Reading, MA: W.A. Benjamin/Addison-Wesley, 1970. $72.75. Mei, Chiang C. Mathematical Analysis in Engineering. Cambridge, England: Cambridge University Press, 1995. 461 p. $35.95.
Menzel, Donald H. Mathematical Physics. New York: Dover, 1961. 412 p. $11.95. Moon P. and Spencer, D.E. Field Theory Handbook, including Coordinate Systems, Differential Equations and their Solutions, corr. 3rd ed. Berlin: Springer-Verlag, 1988. 236 p. Compendium of equations for the physicist and the engineer working with electrostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions.
Nakahara, Mikio. Geometry, Topology, and Physics. Bristol, England: Adam Hilger, 1990. $?.
Riley, K.F. Mathematical Methods for Physics and Engineering: A Comprehensive Guide. 1997. $49.95.
Smirnov, Modest Mikhailovich. Problems on the Equations of Mathematical Physics. Groningen, Netherlands: Noordhoff, 196. 101 p. $46. Sirovich, L. Introduction to Applied Mathematics. New York: Springer-Verlag, 1988. 362 p. $43.95.
Sokolnikoff, Ivan Stephen and Redheffer, R.M. Mathematics of Physics and Modern Engineering, 2nd ed. New York: McGraw-Hill, 1966. $102.05. Starzak, Michael E. Mathematical Methods in Chemistry and Physics. 1989. 651 p. $95. Stephenson, G. and Radmore, P.M. Mathematical Methods for Engineering and Science Students, 2nd ed. 1990. $27.95.
Thirring, Walter E. Classical Mathematical Physics: Dynamical Systems and Field Theory, 3rd ed. New York: Springer-Verlag, 1997. 568 p. $69. Vesely, Franz J. Computational Physics: An Introduction. New York: Plenum, 1994. 276 p. $59.50. Weber, Heinrich and Riemann, Bernhard. Die partiellen Differential-Gleichungen der mathematischen Physik nach Riemanns Vorlesungen, 6. unveranderte Aufl., 2 vols. Braunschweig, Germany: Vieweg, 1919. See also Frank, Phillip.
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© 1995-2005 Eric W. Weisstein