Yet Another Introduction to Analysis

Yet Another Introduction to Analysis

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  • 製本 Hardcover:ハードカバー版
  • 言語 ENG
  • 商品コード 9780521381666
  • DDC分類 515

Table of Contents

Preface                                            vii
Firm foundations 1 (23)
Why start with numbers?
How far can we get with primary school
arithmetic?
What extra assumption is needed?
Gradually getting there 24 (51)
Why do we need sequences?
How do they behave?
How do they help us work out infinite
addition sums?
A functional approach 75 (68)
What do all the familiar functions mean?
How do they behave?
How are they related?
Calculus at last 143(46)
How do we work out gradients?
How does that lead to differentiation?
How does that help us to find averages and
approximations?
An integrated conclusion 189(32)
How do we define the area under a graph?
Why should that have anything to do with
differentiation?
Solutions to exercises 221(68)
Index 289