Sequential Introduction To Real Analysis, A

J Martin Speight (Univ Of Leeds, Uk)

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English

Imperial College Press
30 October 2015

Real analysis, real variables

Series: Essential Textbooks in Mathematics

Real 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.

By: J Martin Speight (Univ Of Leeds Uk)
Imprint: Imperial College Press
Country of Publication: United Kingdom
Volume: 0
Dimensions: Height: 226mm, Width: 152mm, Spine: 15mm
Weight: 408g
ISBN: 9781783267835
ISBN 10: 1783267836
Series: Essential Textbooks in Mathematics
Pages: 276
Publication Date: 30 October 2015
Audience: College/higher education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Basic 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?;