Math 210A: Mathematical Methods in Physical Sciences and Engineering (Part A)
- References
Math 210: Mathematical Methods in Physical Sciences and Engineering
Fall 2017, Winter 2018, and Spring 2018
(Instructor: Bo Li)
REFERENCES
- Sequences and Series
- W. Rudin, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill, 1976.
- P. M. Fitzpatrick, Advanced Calculus, 2nd ed., Amer. Math. Soc., 2009.
- G. B. Folland, Real Analysis: Modern Techniques and Their Applications,
2n ed., Wiley, 1999.
- Matrix Techniques
- J. N. Franklin, Matrix Theory, Prentice-Hall, 1968.
- G. Strang, Linear Algebra and its Applications, 4th ed., Brooks Cole, 2005.
- W. Greub, Linear Algebra, 4th ed., Springer-Verlag, 1975.
- R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1985.
- Hilbert Spaces
- E. Kreyszig, Introductory Functional Analysis with Applications,
Joh Wiley & Sons, 1978.
- R. E. Edwards, Functional Analysis, Dover, 1994.
- G. Helmberg, Introduction to Spectral Theory in Hilbert Space,
North-Holland, 1969.
- Approximation Theory and Methods, Orthogonal Polynomials
- E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, New York, 1966.
- P. J. Davis, Interpolation and Approximation, Dover, 1975.
- T. J. Rivlin, Introduction to the Approximation of Functions, Dover, 1987.
- G. Szgo, Orthogonal Polynomials, 3rd ed., Amer. Math. Soc., 1967.
- Fourier Series and Integrals
- Partial Differential Equations
- W. A. Strauss, Partial Differential Equations. An Introduction, 2nd ed., Wiley, 2008.
- L. C. Evans, Partial Differential Equations, Amer. Math. Soc., 1998.
- R. Courant and D. Hilbert, Mathods of Mathematical Physics, Vol. II,
Wiley, 1989.
- F. John, Partial Differential Equations, Springer, 1982.
- R. C. McOwen, Partial Differential Equations. Methods and Applications, 2nd ed.,
Pearson, 2002.
- G. B. Whitham, Linear and Nonlinear Waves, Wiley, 1999.
- Ordinary Differential Equations and Dynamical Systems
- V. I. Arnold, Mathematical Methods of Classical Mechanics, 2nd ed.,
Springer-Verlag, New York, 1989.
- V. I. Arnold, Ordinary Differential Equations, Springer-Verlag, 1992.
- G. Birkhoff and G.-C. Rota, Ordinary Differential Equations, 3rd ed.,
Wiely, 1978.
- J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and
Bifurcations of Vectors Fiedls, Springer-Verlag, 1983.
- M. W. Hirsch, S. Smale, and R. L. Devaney,
Differential Equations, Dynamical Systems, and An Introduction to Chaos,
2nd ed., Elsevier, 2004.
- L. Perko, Differential Equations and Dynamical Systems, 3rd ed., Springer-Verlag, 2001.
- S. H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books Publishing,
LLC, 1994.
- Complex Analysis
- L. V. Ahlfors, Complex Analysis, McGraw-Hill, 1953.
- J. B. Conway, Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11),
vol. 1, 2nd ed., Springer, 1978.
- E. B. Saff and A. D. Snider,
Fundamentals of Complex Analysis for Mathemtics, Science, and Engineering,
2nd ed., Prentice Hall, 1993.
Last updated by Bo Li on October 17, 2017.