If anyone is interested, here are the textbooks for the course: Math 55a * Required: Axler, Linear Algebra Done Right, Springer, 1997. * Required: Artin,

If anyone is interested, here are the textbooks for the course: Math 55a * Required: Axler, Linear Algebra Done Right, Springer, 1997. * Required: Artin, Abstract Algebra, Prentice-Hall, 1991. * Recommended: Halmos, Naive Set Theory, Springer-Verlag, 1974. * Also useful: Halmos, Finite-Dimensional Vector Spaces, Springer-Verlag, 1987. * Also useful: Fulton and Harris, Representation Theory: A First Course, Springer-Verlag, 1991. See especially Appendix B. * Also useful: Bott and Tu, Differential forms in Algebraic Topology, Springer-Verlag, 1982. See especially Chapter 1. Math55b * Required: Rudin, Principles of Mathematical Analysis, McGraw-Hill, 1976. * Required: Marsden and Hoffman, Basic Complex Analysis, Freeman, 1999. * Recommended: Stein and Shakarchi, Fourier Analysis, an Introduction, Princeton University Press, 2003. * Also useful: Stein and Shakarchi, Complex Analysis , Princeton University Press, 2003. * Also useful: Bott and Tu, Differential Forms in Algebraic Topology , Springer, 1982. See especially 1.1-1.3. * Also useful: H. M. Schey, Div, Grad Curl and All That , Norton, 2005. * Also useful: Hubbard and Hubbard, Vector Calculus, Linear Algebra and Differential Forms, Prentice Hall 1999. * Also useful: T. Needham, Visual Complex Analysis , Oxford University Press, 1997.