Concrete Introduction to Real Analysis

Drawing from the history of mathematics and practical applications, A Concrete Introduction to Real Analysis uses problems emerging from calculus to introduce themes of estimation, approximation, and convergence. Avoiding unnecessary abstractions to provide an accessible presentation of material, this book covers discrete calculus, selected area computations, Taylor's theorem, infinite sequences and series, limits, continuity and differentiability of functions, the Riemann integral, and much more. It contains a large collection of examples and exercises, ranging from simple problems that allow students to check their understanding to challenging problems that develop new material.Carlson, Robert is the author of 'Concrete Introduction to Real Analysis ', published 2006 under ISBN 9781584886549 and ISBN 1584886544.