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  3. Physical Mathematics
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 18
Publisher:
Cambridge University Press
Online publication date:
March 2013
Print publication year:
2013
Online ISBN:
9780511793738
DOI:
https://doi.org/10.1017/CBO9780511793738
Subjects:
Physics and Astronomy, Mathematical Methods
Information

Book description

Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.

Reviews

‘Cahill has given us a concise and mathematically clear text, one that adds many contemporary topics to a classic selection.’

R. Glauber - Harvard University

‘This book provides a comprehensive coverage of the mathematics necessary for advanced study in physics. The key notions are presented concisely and accurately with a wealth of beautiful examples borrowed from physics, biophysics and probability theory. The inclusion of advanced topics such as differential forms and group theory makes [it] a most useful resource for graduate students and researchers in theoretical physics.’

Alain Comtet - Université Pierre et Marie Curie

‘I am impressed by the extremely clear and direct style with which this book has been written. I am sure that today's PhD students, advanced undergraduates and researchers in physics will derive great benefit from using this book. The author has distilled his experience and obvious enjoyment of the subject, and presented mathematics in a remarkably human and accessible form.’

David Waxman - Fudan University

‘Professor Kevin Cahill’s book collects and presents the mathematical methods of physics succinctly, and will be much welcomed by students and researchers alike.’

A. Zee - University of California, Santa Barbara

'The book should be very useful as an up-to-date text for either a one-semester or one-year course in mathematical physics at the graduate level. The instructor can choose the chapters to be covered in a one-semester course, and the entire book is suitable to be treated in a course of an entire year … researchers in physics will find the book useful as a reference tool.'

Don Lichtenberg Source: American Journal of Physics

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Contents

Contents
References
References
References
Aitken, A. C. 1959. Determinants and Matrices. Oliver and Boyd.
Alberts, Bruce, Johnson, Alexander, Lewis, Julian, Raff, Martin, Roberts, Keith, and Walter, Peter. 2008. Molecular Biology of the Cell. 5th edn. Garland Science. Page 246.
Alligood, Kathleen T., Sauer, Tim D., and Yorke, James A. 1996. Chaos: an Introduction to Dynamical Systems. Springer-Verlag.
Arnold, V. I. 1989. Mathematical Methods of Classical Mechanics. 2nd edn. Springer. Chapter 7.
Autonne, L. 1915. Sur les Matrices Hypohermitiennes et sur les Matrices Unitaires. Ann. Univ. Lyon, Nouvelle Série I, Fasc. 38, 1–77.
Bigelow, Matthew S., Lepeshkin, Nick N., and Boyd, Robert W. 2003. Superluminal and slow light propagation in a room-temperature solid. Science, 301(5630), 200–202.
Bordag, Michael, Klimchitskaya, Galina Leonidovna, Mohideen, Umar, and Mostepanenko, Vladimir Mikhaylovich. 2009. Advances in the Casimir Effect. Oxford University Press.
Bouchaud, Jean-Philippe, and Potters, Marc. 2003. Theory of Financial Risk and Derivative Pricing. 2nd edn. Cambridge University Press.
Boyd, Robert W. 2000. Nonlinear Optics. 2nd edn. Academic Press.
Brillouin, L. 1960. Wave Propagation and Group Velocity. Academic Press.
Brunner, N., Scarani, V., Wegmüller, M., Legré, M., and Gisin, N. 2004. Direct measurement of superluminal group velocity and signal velocity in an optical fiber. Phys. Rev. Lett., 93(20), 203902.
Cantelli, F. P. 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Instituto Italiano degli Attuari, 4, 221–424.
Carroll, Sean. 2003. Spacetime and Geometry: an Introduction to General Relativity. Benjamin Cummings.
Cohen-Tannoudji, Claude, Diu, Bernard, and Laloë, Frank. 1977. Quantum Mechanics. Hermann & John Wiley.
Courant, Richard. 1937. Differential and Integral Calculus, Vol. I. Interscience.
Courant, Richard and Hilbert, David. 1955. Methods of Mathematical Physics, Vol. I. Interscience.
Creutz, Michael. 1983. Quarks, Gluons, and Lattices. Cambridge University Press.
Darden, Tom, York, Darrin, and Pedersen, Lee. 1993. Particle mesh Ewald: an Nlog(N) method for Ewald sums in large systems. J. Chem. Phys., 98(12), 10089.
DeWitt, Bryce S. 1967. Quantum theory of gravity. II. The manifestly covariant theory. Phys. Rev., 162(5), 1195–1239.
Dirac, P. A. M. 1967. The Principles of Quantum Mechanics. 4th edn. Oxford University Press.
Dirac, P. A. M. 1996. General Theory of Relativity. Princeton University Press.
Faddeev, L. D. and Popov, V. N. 1967. Feynman diagrams for the Yang–Mills field. Phys. Lett. B, 25(1), 29–30.
Feller, William. 1966. An Introduction to Probability Theory and Its Applications. Vol. II. Wiley.
Feller, William. 1968. An Introduction to Probability Theory and Its Applications. 3rd edn. Vol. I. Wiley.
Feynman, Richard P. and Hibbs, A. R. 1965. Quantum Mechanics and Path Integrals. McGraw-Hill.
Frieman, Joshua A., Turner, Michael S., and Huterer, Dragan. 2008. Dark energy and the accelerating Universe. Ann. Rev. Astron. Astrophys., 46, 385–432. arXiv:0803.0982v1 [astro-ph].
Gattringer, Christof and Lang, Christian B. 2010. Quantum Chromodynamics on the Lattice: an Introductory Presentation. Springer (Lecture Notes in Physics).
Gehring, G. M., Schweinsberg, A., Barsi, C., Kostinski, N., and Boyd, R. W. 2006. Observation of backwards pulse propagation through a medium with a negative group velocity. Science, 312(5775), 895–897.
Gelfand, Israel M. 1961. Lectures on Linear Algebra. Interscience.
Gell-Mann, Murray. 1994. The Quark and the Jaguar. W. H. Freeman.
Gell-Mann, Murray. 2008. Plectics. Lectures at the University of New Mexico.
Georgi, H. 1999. Lie Algebras in Particle Physics. 2nd edn. Perseus Books.
Glauber, Roy J. 1963a. Coherent and incoherent states of the radiation field. Phys. Rev., 131(6), 2766–2788.
Glauber, Roy J. 1963b. The quantum theory of optical coherence. Phys. Rev., 130(6), 2529–2539.
Glivenko, V. 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Instituto Italiano degli Attuari, 4, 92–99.
Gnedenko, B. V. 1968. The Theory of Probability. Chelsea Publishing Co.
Gutzwiller, Martin C. 1990. Chaos in Classical and Quantum Mechanics. Springer.
Hau, L.V., Harris, S. E., Dutton, Z., and Behroozi, C. H. 1999. Light speed reduction to 17 metres per second in an ultracold atomic gas. Nature, 397, 594.
Hobson, M. P., Efstathiou, G. P., and Lasenby, A. N. 2006. General Relativity: an Introduction for Physicists. Cambridge University Press.
Holland, John H. 1975. Adaptation in Natural and Artificial Systems. University of Michigan Press.
Ince, E. L. 1956. Integration of Ordinary Differential Equations. 7th edn. Oliver and Boyd, Ltd. Chapter 1.
James, F. 1994. RANLUX: a Fortran implementation of the high-quality pseudo-random number generator of Lüscher. Comp. Phys. Comm., 79, 110.
Kleinert, Hagen. 2009. Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets. World Scientific.
Knuth, Donald E. 1981. The Art of Computer Programming, Volume 2: Seminumerical Algorithms. 2nd edn. Addison-Wesley.
Kolmogorov, Andrei Nikolaevich. 1933. Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Instituto Italiano degli Attuari, 4, 83–91.
Langevin, Paul. 1908. Sur la théorie du mouvement brownien. Comptes Rend. Acad. Sci. Paris, 146, 530–533.
Larson, D., Dunkley, J., Hinshaw, G., Komatsu, E., Nolta, M.R., et al. 2011. Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: power spectra and WMAP-derived parameters. Astrophys. J. Suppl., 192, 16.
Lifshitz, E. M. 1956. The theory of molecular attractive forces between solids. Sov. Phys. JETP, 2, 73.
Lin, I-Hsiung. 2011. Classic Complex Analysis. World Scientific.
Lüscher, M. 1994. A portable high-quality random number generator for lattice field theory simulations. Comp. Phys. Comm., 79, 100.
Matzner, Richard A. and Shepley, Lawrence C. 1991. Classical Mechanics. Prentice Hall.
McCauley, Joseph L. 1994. Chaos, Dynamics, and Fractals. Cambridge University Press.
Metropolis, Nicholas, Rosenbluth, Arianna W., Rosenbluth, Marshall N., Teller, Augusta H., and Teller, Edward. 1953. Equation of state calculations by fast computing machines. J. Chem. Phys., 21(6), 1087–1092.
Milonni, Peter W. and Shih, M.-L. 1992. Source theory of the Casimir force. Phys. Rev. A, 45(7), 4241–4253.
Misner, Charles W., Thorne, Kip S., and Wheeler, John Archibald. 1973. Gravitation. W. H. Freeman.
Morse, Philip M. and Feshbach, Herman. 1953. Methods of Theoretical Physics. Vol. I. McGraw-Hill.
Parsegian, Adrian. 1969. Energy of an ion crossing a low dielectric membrane: solutions to four relevant electrostatic problems. Nature, 221, 844–846.
Pathria, R. K. 1972. Statistical Mechanics. Pergamon Press. Chapter 13.
Pearson, Karl. 1900. On the criterion that a given system of deviations from the probable in the case of correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Phil. Mag., 50(5), 157–175.
Riley, Ken, Hobson, Mike, and Bence, Stephen. 2006. Mathematical Methods for Physics and Engineering. 3rd edn. Cambridge University Press.
Roe, Byron P. 2001. Probability and Statistics in Experimental Physics. Springer.
Saito, Mutsuo, and Matsumoto, Makoto. 2007. www.math.sci.hiroshimau.ac.jp/m-mat/MT/emt.html.
Sakurai, J. J. 1982. Advanced Quantum Mechanics. 1st edn. Addison Wesley. Pages 62–63.
Scherk, Joël, and Schwarz, John H. 1974. Dual models for non-hadrons. Nucl. Phys., B81, 118.
Schmitt, Lothar M. 2001. Theory of genetic algorithms. Theoretical Computer Science, 259, 1–61.
Schutz, Bernard. 1980. Geometrical Methods of Mathematical Physics. Cambridge University Press.
Schwinger, Julian, Deraad, Lester, Milton, Kimball A., and Tsai, Wu-yang. 1998. Classical Electrodynamics. Westview Press.
Smirnov, N. V. 1939. Estimation of the deviation between empirical distribution curves for two independent random samples. Bull. Moscow State Univ., 2(2), 3–14.
Srednicki, Mark. 2007. Quantum Field Theory. Cambridge University Press.
Stakgold, Ivar. 1967. Boundary Value Problems of Mathematical Physics, Vol. I. Macmillan.
Steinberg, A. M., Kwiat, P. G., and Chiao, R. Y. 1993. Measurement of the singlephoton tunneling time. Phys. Rev. Lett., 71(5), 708–711.
Stenner, Michael D., Gauthier, Daniel J., and Neifeld, Mark A. 2003. The speed of information in a ‘fast-light’ optical medium. Nature, 425, 695–698.
Titulaer, U. M., and Glauber, R. J. 1965. Correlation functions for coherent fields. Phys. Rev., 140(3B), B676–682.
Veneziano, Gabriel. 1968. Construction of a crossing-symmetric Regge-behaved amplitude for linearly rising regge trajectories. Nuovo Cim., 57A, 190.
von Foerster, Heinz, Mora, Patricia M., and Amiot, Lawrence W. 1960. Doomsday: Friday, 13 November, A.D. 2026. Science, 132, 1291–1295.
Vose, Michael D. 1999. The Simple Genetic Algorithm: Foundations and Theory. MIT Press.
Wang, Yun-ping and Zhang, Dian-lin. 1995. Reshaping, path uncertainty, and superluminal traveling. Phys. Rev. A, 52(4), 2597–2600.
Watson, George Neville. 1995. A Treatise on the Theory of Bessel Functions. Cambridge University Press.
Waxman, David and Peck, Joel R. 1998. Pleiotropy and the preservation of perfection. Science, 279.
Weinberg, Steven. 1972. Gravitation and Cosmology. John Wiley & Sons.
Weinberg, Steven. 1988. The First Three Minutes. Basic Books.
Weinberg, Steven. 1995. The Quantum Theory of Fields. Vol. I: Foundations. Cambridge University Press.
Weinberg, Steven. 1996. The Quantum Theory of Fields. Vol. II: Modern applications. Cambridge University Press.
Weinberg, Steven. 2005. The Quantum Theory of Fields. Vol. III: Supersymmetry. Cambridge University Press.
Weinberg, Steven. 2010. Cosmology. Oxford University Press.
Whittaker, E. T. and Watson, G. N. 1927. A Course of Modern Analysis. 4th edn. Cambridge University Press.
Wright, Ned. 2006. A cosmology calculator for the World Wide Web. Publ. Astron. Soc. Pacific, 118(850), 1711–1715. www.astro.ucla.edu/wright/CosmoCalc.html.
Zee, Anthony. 2010. Quantum Field Theory in a Nutshell. 2nd edn. Princeton University Press.
Zwiebach, Barton. 2009. A First Course in String Theory. 2nd edn. Cambridge University Press.

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