Further Reading - Applied Mathematics in physics

7/28/2019 Further Reading - Applied Mathematics in physics

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Appendix X: Further ReadingApplied mathematicsAb ram ow itz, Milton and Stegun, Irene A. (eds.) Handbook of Mathemat

ical Functions with Formulas, Graphs and Mathematical Tables, NationalBureau of Standards, Applied Mathematics Series 55, U.S. GovernmentPrinting Office, Washington, D.C. (1964).

Aitken, A. C , Determinants and Matrices, John Wiley & Sons, New York(1956).

Arfken, George B. and Weber, Hans J., M athematical Methods for Physicists,Fourth Edition, Academic Press, San Diego (1995).

Bak, Thor A. and Lichtenberg, Jonas, Mathematics for Scientists, BenjaminCompany, White Plains, New York (1964).

Bateman, H., Partial Differential Equations of Mathematical Physics, DoverPublications, New York (1944).

Boas, Mary L., Mathematical Methods in the Physical Sciences, John Wiley& Sons, New York (1983).

Borisenko, A. I. and Taropov, I. E., Vector and Tensor Analysis with Applications, Prentice-Hall, Englewood CUffs, New Jersey (1968).

Brady, Wray G. an d Mansfield, M aynard J., Calculus, Little, Brown andCompany, Boston (1960).

Brand, Louis, Vector Analysis, John Wiley & Sons, New York (1957).Brauer, Free and N ohel, John A., Differential Equations: A First Course(second edition), Benjamin Company, Menlo Park, CaHfomia (1973).Braun, Martin, Differential Equations and their Applications (fourth edition).

Springer-Verlag, New York (1993).Brown, W. C , Matrices and Vector Spaces, Marcel Dekker, New York (1991).Buck, R. C. and Buck, Ellen F., Advanced Calculus (third edition), McGraw-

Hill Book Company, New York (1978).Byron, F. W. Jr. and Fuller, R. W., Mathematics of Classical and Quantum

Physics, Addison-Wesley Publishing Company, Reading, Massachusetts(1969).Carslaw, H. S., Introduction to the Theory of Fourier's Series and Integrals(third edition), Dover Publications, New York (1952).


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388 MAT HEM ATICS FOR CHEMISTRY AN D PHYSICSChampeney, D. C , Fourier Tran sforms and Their Physical Applications,

Academic Press, New York (1973).Chu rchill, R. V., Brow n, J. W . and Verkey, R. F., Complex Variables andApplications (third edition), McGraw-Hill Book Company, New York(1974).Cohen, H., Mathematics for Scientists and Engineers, Prentice-Hall, Engle-

wood Cliffs, New Jersey (1992).Courant, R. and Hilbert, D., Methods of Mathematical Physics (vol. I), JohnWiley & Sons, New York (1953). Translated from the German.Davis, H. F. and Snider, A. D., Introduction to Vector Analysis (fourthedition), Allyn & Bacon, Boston (1979).Davis, P. J. and Rabinowitz, P., Numerical Integration, Blaisdell, Waltham,Massachusetts (1967).Dwass, Meyer, Probability: Theory and Applications, Benjamin Company,White Plains, New York (1970).Frazer, R. A., Du ncan, W . J. and Collar, A. R., Elementary Matrices andSom e Applications in Dynam ics and Differential Equ ations, CambridgeUniversity Press, Cambridge (1946).Fuller, Gordon and Parker, Robert M., Analytic Geometry and Calculus, D .Van Nostrand Company, Princeton, New Jersey (1964).Garcia, A. L., Num erical Methods for Physics, Prentice-Hall, EnglewoodCliffs, New Jersey (1994).Goldberg, Samuel, Probability: An Introduction, Prentice-Hall, EnglewoodCliffs, New Jersey (1960).Gradshteyn, I. S. and Ryzhik, I. M., Table of Integrals, Series and Products,Academic Press, New York (1980).Hanmiing, R. W., Num erical Methods for Scientists and Engineers (secondedition), McGraw-Hill Book Company, New York (1973).Ince, E. L., Ordinary Differential Equations, Dover Publications, New York(1926).Jeffreys, H. and Jeffreys, B . S., M ethods of Ma thematical P hysics (thirdedition), Cambridge University Press, Cambridge (1966).Kaplan, Wilfred, Advanced Calculus, (second edition), Addison-WesleyPublishing Company, Cambridge, Massachusetts (1973).Lomont, J. S., Applications of Finite Groups, Academic Press, New York(1959).Love, Clyde E. and Rainville, Earl D., Differential and Integral Calculus (fifthedition). The Macmillan Company, New York (1954).Luke, Y. L., Mathematical Functions and their Approximations, AcademicPress, New York (1975).Maeder, Roman, Programming in Mathematica (third edition), AddisonWesley Publishing Company, Reading, Massachusetts (1997).


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X. FURTHER READING 389Margeneau, Henry and Murphy, George M., The Mathematics of Physics and

Chemistry (second edition ), D. Van Nostrand Com pany , Princeton, N ewJersey (1964).Miller, R. K. and Michel, A. N., Ordinary Differential Equations, AcademicPress, New York (1982).

Morse, P. M. and Feshbach, H., Methods of Theoretical Physics, McGraw-Hill Book Company, New York (1953).

Parratt, Lyman G., Probability and Experimental Errors in Science, John Wiley& Sons, New York (1961).

Peirce, B. O., A Short Table of Integrals (third revised edition), Ginn andCompany, Boston (1929).

Pipes, L. A. and Ha rvil, L. R., Mathematics for Engineers and Physicists(third edition), McGraw-Hill Book Company, New York (1970).

Press, W . H., Flanne ry, B . P., Teuch olsky, S. A. and Vetterhng, W . T.,Numerical Recipes (second edition), Cambridge University Press,Cambridge (1992).

Rainville, E. D., Infinite Series, The Macmillan Company, New York (1967).Rainville, E. D., Special Functions, The Macmillan Company, New York

(1960).Ralston, Anthony and Rabinowitz, Philip, A First Course in Numerical Analysis, McGraw-Hill Book Company, New York (1978).Rubinstein, Isaak and Rubinstein, Lev, Partial Differential Equations in

Classical Mathematical Physics, Cambridge University Press, Cambridge(1993).

Sneddon, L N., Special Functions of Mathematical Physics and Chemistry(third edition), Longman Publishing Group, New York (1980).

Spiegel, M. R., Theory and Problems of Complex Variables, McGraw-HillBook Company, New York (1964).

Spiegel, Murray R. Schaum 's Outline of Theory and Problems of AdvancedCalculus, McGraw-Hill Book Company, New York (1963).Spiegel, Murray R., Schaum's Outline of Theory and Problems of Complex

Variables, McGraw-Hill Book Company, New York (1964).Spiegel, Murray R., Schaum's Outline of Theory and Problems of Fourier

Analysis, McGraw-Hill Book Company, New York (1974).Spiegel, Murray R., Schaum 's Outline of Theory and Problems o f Laplace

Transforms, McGraw-Hill Book Company, New York (1965).Spiegel, Murray R., Schaum's Outline of Theory and Problems of Vector Anal

ysis and an Introduction to Tensor Analysis, McGraw-Hill Book Company,New York (1959).

Stoer, J. and Bu rlirsch , R., Introduction to Numerical Analysis, Springer-Verlag, New York (1980).


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390 MAT HEM ATICS FOR CHEMISTRY AN D PHYSICSTebbutt, Peter, Basic Mathematics for Chemists, John W iley & So ns, Chichester

(1994).Tho mas, G. B . Jr. and Finney, R. L., Calculus and Analytic Geom etry,(seventh edition), Addison-Wesley Publishing Company, Reading,

Massachusetts (1990).Vance, Elbridge P., Modem Algebra and Trigonometry, Addison-Wesley

PubUshing Company, Reading, Massachusetts (1962).Whittaker, E. T. and Watson, G. N.,A Course of Modem Analysis, Cambridge

University Press, Cambridge (1973).Wrede, R. C , Introduction to Vector and TensorAnalysis, John Wiley & Sons,

New York (1963). Dover Publications, New York (1972).Young, Hugh D., Statistical Treatment of Experimental Data, McGraw-Hill

Book Company, New York (1962).

Chemical physicsAllen, Harry C. Jr. and Cross, Paul C , Molecular Vib-Rotors, John Wiley &

Sons, New York (1963).Atkins, P. W., Molecular Quantum Mechanics (second edition), Oxford

University Press, London (1983).Atkins, P. W., Quanta (second edition), Oxford University Press, London(1991).

Bearm an, Rich ard J. and Chu, Ben jamin, Problems in Chemical Thermodynamics, Addison-Wesley Publishing Company, Reading, Massachusetts(1967).Bellamy, L. J., The Infrared Spectra of Complex Molecules, vol. I, John Wiley& Sons, New York (1954); vol. II (3rd ed.). Chapman and Hall, New York(1980).

Brillouin, Leon, W ave Propaga tion in Periodic S tructures (second edition),McGraw-Hill Book Company, New York (1946); Dover Publications, NewYork (1953).

Buerger, M. J., Elementary Crystallography, John Wiley & Sons, New York(1956).Califano, S., Vibrational States, John Wiley & Sons, Chichester (1976).

Chamberlain, John, The Principles of Interferometric Spectroscopy, John W iley& Sons, Chichester (1979).Conners, Kenneth A., Chemical Kinetics, VCH PubUshers, New York (1990).

Cotton, F. Albert, Chemical Applications of Group Theory (third edition ), JohnWiley & Sons, New York (1990).

Coulson, C. A., Valence (second edition), Oxford University Press, London(1961).


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X. FURTHER READING 391Decius, J. C. and Hexter, R. M., Molecular Vibrations in Crystals, McGraw-Hill Book Company, New York (1977).Eyring, Henry, Walter, John and Kimball, George E., Quantum Chemistry,John Wiley & Sons, New York (1944).Glasstone, Samuel, Theoretical Chemistry, D. Van Nostrand Company, NewYork (1944).Golden, Sidney, An Introduction to Theoretical Physical Chemistry, Addison-

Wesley Pubhshing Company, Reading, Massachusetts (1961).Golden, Sidney, Elements of the Theory of Gases, Addison-Wesley PublishingCompany, Reading, Massachusetts (1964).Herzberg, G., Molecular Spectra and Molecular Structure II. Infrared andRaman Spectra of Polyatomic Molecules, D. Van Nostrand Company,Princeton, New Jersey (1945).Hirschfelder, J. G., Curtis, C. F. and Bird, R. B., Molecular Theory of Gasesand Liquids, John Wiley & Sons, New York, (1954).Hollas, J. Michael, Modern Spectroscopy (second edition), John Wiley & Sons,Chichester (1992).Jackson, J. D., Classical Electrodynamics (second edition), John Wiley &Sons, New York (1975).Kemp, Merwin K., Physical Chemistry. A Step-by-Step Approach, MarcelDekker, New York (1979).Laidler, K. J., Chemical Kinetics, McGraw-Hill Book Company, New York(1950).Levine, Ira N ., Molecular Spectroscopy, John W iley & Sons, New York (1975).Lowe, John P., Quantum Chemistry (second e dition). Academ ic Press, London(1993).March, Norman H. and M ucci, Joseph P., Chem ical Physics of Free M olecules,Plenum Press, New York (1993).McQuarrie, Donald A., Statistical Mechanics, HarperCollins Publishers, NewYork (1976).Messiah, A., Quantum Mechanics (vols. I & II), North-Holland Press,Amsterdam (1961). Translated from the French.Mills, Ian et al. (eds). Qua ntities, U nits and Symbols in Physical Chem istry,"The Green Book", Blackwell Scientific Publications, London (1993).Milonni, Peter W. and Eberly, Joseph H., Lasers, John Wiley & Sons, NewYork (1988).Moore, Walter J., Physical Chemistry, Prentice-Hall, Englewood Cliffs, NewJersey (1955).Panofsky, W. K. H. and Phillips, M., Classical Electricity and Magnetism(second edition), Addison-Wesley, Reading, Massachusetts (1962).Partington, J. R., An Advanced Treatise on Physical Chemistry, Longmans,Green and Company, London (1949).


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392 MAT HEM ATICS FOR CHEMISTRY AN D PHYSICSPauling, Linus and Wilson, E. Bright Jr., Introduction to Quantum Mechanics,

McGraw-Hill Book Company, New York (1935). Republished by DoverPublications, Mineola, New York, (1985).Pauling, Linus, General Chemistry, W. H. Freeman and Company, San Francisco (1947).Rothschild, W. G., Dynamics of Molecular Liquids, John Wiley & Sons, NewYork (1984).

Schiff, Leonard L, Quantum Mechanics, McGraw-Hill Book Company, NewYork (1955).Shubnikov, A. V. and Belov, N . V., Colored Symmetry, Pergamon Press,Oxford (1964).Slater, John C , Introduction to Chemical Physics, McGraw-Hill BookCompany, New York (1939).Slater, John C , Quantum Theory of Molecules and Solids (vol. I), McGraw-Hill Book Company, New York (1963).Sokolov, A. A., Loskutov, Y. M. and Tem ov, L M., Quantum Mechanics,Holt, Rinehart and Winston, New York (1966). Translated from the Russian.Sverdlov, L. M., Kovner, M. A. and Krainov, E. P., Vibrational Spectra ofPolyatomic Molecules, John Wiley & Sons, New York. Translated from theRussian.Tinkham, Michael, Group Theory and Quantum Mechanics, McGraw-HillBook Company, New York (1964).Turrell, George, Gas Dynamics. Theory and Applications, John Wiley & Sons,Chichester (1997).Turrell, George, Infrared and Raman Spectra of Crystals, Academic Press,London (1972).W igner, Eugen e P., Group Theory (and its application to the quantummechanics of atomic spectra). Academic Press, New York (1959).Wilson, E. Bright Jr., An Introduction to Scientific Research, McGraw-HillBook Company, New York (1952).W ilson, E. Bright Jr., D ecius, J. C. and Cross , P. C , Molecular Vibrations,McGraw-Hill Book Company, New York (1955).Zewail, Ahmed (ed.). The Chemical Bond. Structure and Dynamics, AcademicPress, London (1992).

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Further Reading - Applied Mathematics in physics