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OverviewReal analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. The result is a coherent, mathematically rigorous, but conceptually simple development of the standard theory of differential and integral calculus ideally suited to undergraduate students learning real analysis for the first time.This book can be used as the basis of an undergraduate real analysis course, or used as further reading material to give an alternative perspective within a conventional real analysis course. Full Product DetailsAuthor: J Martin Speight (Univ Of Leeds, Uk)Publisher: Imperial College Press Imprint: Imperial College Press Volume: 0 Dimensions: Width: 15.20cm , Height: 1.50cm , Length: 22.60cm Weight: 0.408kg ISBN: 9781783267835ISBN 10: 1783267836 Pages: 276 Publication Date: 31 December 2015 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsBasic Properties of the Set or Real Numbers; Real Sequences; Limit Theorems; Subsequences; Series; Continuous Functions; Some Symbolic Logic; Limits of Functions; Differentiable Functions; Power Series; Integration; Logarithms and Irrational Powers; What are the Reals?;ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |