The following books are recommended to be a standard textbook. It is, however, noted that you may not need to buy these books, if you have already similar books for engineering analysis or applied mathematics. Most of course material can be found at this home page for this course.Especially, we shall provide notes for Calculus of Variations, Variational Method, and Galerkin's Method.
- Merle C. Potter, Jed Goldburg, Mathematical Methods, 640 pages 2nd edition (October 1985)
- Gilbert Strang , Introduction to Applied Mathematics, (January 1986), Wellesley Cambridge Pr; ISBN: 0961408804
The following book can be good references to this course. The first four books are especially recommended.
- S. Nakamura, Numerical Analysis and Graphic Visualization with MATLAB
- G. H. Golub and C.F. Van Loan, Matrix Computations, Second Edition, The Johns Hopkins University Press, Baltimore, 1989
- W. H. Press, B.P. Flannery, S.A. Teukolsky, and W. T. Vetterling, Numerical Recipies, The Art of Scientific Computing, Cambridge University Press, Cambridge, 1986
- P. G. Ciarlet, Introduction to Numerical Linear Algebra and Optimization, Cambridge University Press, Cambridge, 1991
- J. Stoer, and R. Bulrsch, Introduction to Numerical Analysis, Springer-Verlag, New York, 1980
- R.L. Burden, J.D. Faires, A.C. Reynolds, Numerical Analysis, Second Edition, Prindle, Weber & Schmidt, Boston, Massachusetts, 1981, ISBN 0-534-98020-1
- S. Hassani, Foundations of Mathematical Physics, Allyn and Bacon, Boston, 1991
- A.N. Tikhonov and A.A. Samarskii, Equations of Mathematical Physics, Dover Publications, Inc., New York, 1963
- A. Friedman, Mathematics in Industrial Problems, Pat 1~Part8, Spring Verlag, New York, 1989
The following journal is highly recommended to look at whenever you have time.
- Computing in Science & Engineering, Computer Society, Americal Institute of Physics
We shall extensively use both MATLAB ( containing MAPLE inside ) and MATHEMATICA in this course to solve examples to demonstrate the theories discussed in this course, and to solve problems in the homework and take home examinations. Furthermore, some students may be interested in public domain C and/or Fortran programs available in NETLIB.
Another link related to this course is