First Course in Mathematical Analysis

ISBN-10: 0521684242

ISBN-13: 9780521684248

Edition: 2006 (Revised)

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Description:

Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject. Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard University course on the subject.
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Book details

List price: $76.99
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 8/17/2006
Binding: Paperback
Pages: 468
Size: 7.50" wide x 9.75" long x 1.00" tall
Weight: 1.518
Language: English

David A. Brannan is Emeritus Professor in the Department of Mathematics and Computing at The Open University, Milton Keynes.

Preface
Introduction: calculus and analysis
Numbers
Sequences
Series
Continuity
Limits and continuity
Differentiation
Integration
Power series
Sets, functions and proofs
Standard derivatives and primitives
The first 1,000 decimal places of the square root of 2, e and pi
Solutions to the problems
Index
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