eBook - ePub

A Sequential Introduction to Real Analysis

Name: A Sequential Introduction to Real Analysis
ISBN: 9781783267859

J M Speight,

276 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

A Sequential Introduction to Real Analysis

J M Speight,

About this book

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.

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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.

Request Inspection Copy

Contents:

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?

Key Features:

Unique treatment of real analysis focusing entirely on sequential notions, which students usually learn more easily than with the conventional approach
Coherent and consistent mathematical approach
Concise development of all the fundamental results in differential and integral calculus

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Yes, you can access A Sequential Introduction to Real Analysis by J M Speight in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.