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SIMMONS: Introduction to Topology and Modern Analysis (International series in pure and applied mathematics). Bibliography: p. Includes index. The textbook exposes classical analysis as it is today, as an integral part of Mathematics in its interrelations with other modern mathematical courses.Mathematical Analysis. I. Title. QA300.T667 2003. 515-dc21 algebra, and differential equations to a rigorous real analysis course is a bigger step to-. Rudin, Walter, date. Principles of mathematical analysis. (International series in pure and applied mathematics). Bibliography: p. Includes index. 1. Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics.