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Applications to the Physical Sciences

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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.

Appl. to Physical Sciences: 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: Information Theory

Cadzow, James A. Foundations of Digital Signal Processing and Data Analysis New York, NY: Macmillan, 1987.

Cattermole, Kenneth W. and O'Reilly, John J., eds. Problems of Randomness in Communication Engineering New York, NY: John Wiley, 1984.

* Chambers, William G. Basics of Communications and Coding New York, NY: Oxford University Press, 1985.

** Jones, D.S. Elementary Information Theory New York, NY: Clarendon Press, 1979.

* Oberman, R.M.M. Digital Circuits for Binary Arithmetic New York, NY: John Wiley, 1979.

Rader, James H. and McClellan, Charles M. Number Theory in Digital Signal Processing Englewood Cliffs, NJ: Prentice Hall, 1979.

** Renyi, Alfred. A Diary on Information Theory New York, NY: John Wiley, 1987.

*** Shannon, Claude E. and Weaver, Warren. The Mathematical Theory of Communication Champaign, IL: University of Illinois Press, 1949.

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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