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Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. Mathematical analysis is a cornerstone of mathematics. Introductory Probability Theory. Grounded in the strong intellectual tradition of the Annals of Mathematics Studies, these books contribute to a large and diverse body of mathematical knowledge. A basic knowledge of vectors, matrices, and physics is assumed. Best Sellers. 4.5 out of 5 stars 8. Offers an outline of the essential properties of rational numbers using Dedekind's cut, and establishes the properties of real numbers. Prices. This book is printed on acid-free paper. 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