  This is the second volume of a textbook for a two-semester course in
mathematical analysis. This second volume is about analysis of multi-variable
functions. The topics covered include Euclidean spaces, convergence of
sequences, open sets and closed sets, limits and continuity, uniform
continuity, connectedness, compactness, intermediate value theorem, extreme
value theorem, partial derivatives, differentiability, chain rule, mean value
theorem, first and second order approximations, local extrema, inverse function
theorem, implicit function theorem, constrained extrema problems and Lagrange
multipliers, Riemann integrals of functions of several variables, Jordan
measurable sets, iterated integrals, Fubini's theorem, change of variables
theorem, Fourier series and its convergence, Fourier transforms.
