Applied Mathematics and Numerical Methods References

  • Ordinary Differential Equations

  • W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems. Wiley, Sixth Edition, 1997.
  • E. Coddington and N. Levinson, Theory of Ordinary Differential Equations. McGraw-Hill, 1955.
  • C. H. Edwards, Jr. and D. E. Penney, Elementary Differential Equations with Applications. Prentice-Hall, Third Edition, 1994.
  • E. L. Ince, Ordinary Differential Equations. Dover, 1960.

  • Methods in Applied Mathematics

  • C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers. McGraw-Hill, 1978.
  • G. F. Carrier, M. Krook, and C. E. Pearson, Function of Complex Variable, Theory and Technique. McGraw-Hill, 1966.
  • R. Courant and D. Hilbert, Methods of Mathematical Physics Volumes I and II. John Wiley, 1962.
  • L. Debnath, Integral Transforms and their Applications. CRC Press, 1995.
  • E. J. Hinch, Perturbation Methods. Cambridge University Press, 1991.
  • J. Kevorkian and J. D. Cole, Perturbation Methods in Applied Mathematics. Springer-Verlag, 1981.
  • J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Method . Springer-Verlag, 1996.
  • P. A. Lagerstrom, Matched Asymptotic Expansions - Ideas and Techniques. Springer-Verlag, 1988.
  • J. D. Logan, Applied Mathematics: A Contemporary Approach. Wiley, 1987.
  • R. E. O'Malley, Singular Perturbation Methods for Ordinary Differential Equations. Springer-Verlag, 1991.
  • G. Strang, Introduction to Applied Mathematics. Wellesley-Cambridge Press, 1986.

  • Linear Algebra

  • S. J. Leon, Linear Algebra with Applications. Prentice-Hall, Fourth Edition, 1994.
  • G. Strang, Linear Algebra and its Applications. Harcourt, Third Edition, 1988.

  • Numerical Analysis and Numerical Methods

  • R. L. Burden and J. D. Faires, Numerical Analysis. PWS Publishing, Fifth Edition, 1993.
  • C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. Zang, Spectral Methods in Fluid Dynamics. Springer-Verlag, 1988.
  • C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method. Cambridge Press University, 1987.
  • D. Kincaid and W. Cheney, Numerical Analysis. Brooks/Cole, 1991.
  • R. J. LeVeque, Numerical Methods for Conservation Laws. Birkhauser, 1990.
  • S. Nakumara, Numerical Analysis and Graphics Visualization with Matlab, 1/e. Prentice Hall, 1996.
  • G. D. Smith, Numerical Solutions of Partial Differential Equations: Finite Difference Methods. Clarendon Press, Third Edition, 1985.
  • J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations. Wadsworth and Brooks/Cole, 1989.

  • Partial Differential Equations

  • G. F. Carrier and C. E. Pearson, Partial Differential Equations. Academic Press, Second Edition, 1988.
  • R. Haberman, Elementary Applied Partial Differential Equations. Prentice-Hall, Second Edition, 1987.
  • J. Kevorkian, Partial Differential Equations. Brooks/Cole, 1990.
  • E. Kreyszig, Advanced Engineering Mathematics. Wiley, Seventh Edition, 1993.

  • Physics

  • R. P. Feynman, R. B. Leighton, and M. L. Sands, The Feynman Lectures on Physics. Addison-Wesley, 1963.
  • D. Halliday, R. Resnick, and J. Walker, Fundamentals of Physics. Wiley, Fourth Edition, 1993.

  • Probability and Statistics

  • D. R. Cox and H. D. Miller, The Theory of Stochastic Processes. Chapam & Hall, 1965.
  • W. Feller, An Introduction to Probability Theory and its Applications. Volume I. Wiley, 1968.
  • P. G. Hoel, S. C. Port, and C. J. Stone, Introduction to Probability Theory. Houghton Mifflin, 1971.
  • R. H. Hogg and A. T. Craig, Introduction to Mathematical Statistics. Prentice-Hall, Fifth Edition, 1995.

  • Functional Analysis

  • L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces. Macmillan, 1964.
  • A. E. Taylor and D. C. Lay, Introduction to Functional Analysis. Robert E. Krieger, 1980.
  • K. Yosida, Functional Analysis. Springer-Verlag, Fourth Edition, 1974.

    • MCS at ANL and LT / morlet@mcs.anl.gov
    Last Modified December 2, 1996.