Introduction to Analysis - Tapa dura

A textbook based on a one-semester course taught at MIT. Topics include real numbers and monotone sequences, estimations and approximations, limit theorems for sequences, local and global behavior, differentiation, the Riemann integral, infinite sets and the Lebesgue integral, and continuous functio

KEY BENEFIT: This new book is written in a conversational, accessible style, offering a great deal of examples. It gradually ascends in difficulty to help the student avoid sudden changes in difficulty. Discusses analysis from the start of the book, to avoid unnecessary discussion on real numbers beyond what is immediately needed. Includes simplified and meaningful proofs. Features Exercises and Problems at the end of each chapter as well as Questions at the end of each section with answers at the end of each chapter. Presents analysis in a unified way as the mathematics based on inequalities, estimations, and approximations. For mathematicians.