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CONTENTS

Foreword xi
Preface xiii
1.Mathematical preliminaries 1
1.1 Some introductory examples 2
1.2 Notation 10
1.3 Asymptotic sequences and asymptotic expansions 13
1.4 Convergent series versus divergent series 16
1.5 Asymptotic expansions with a parameter 20
1.6 Uniformity or breakdown 22
1.7 Intermediate variables and the overlap region 26
1.8 The matching principle 28
1.9 Matching with logarithmic terms 32
1.10 Composite expansions 35
Further Reading 40
Exercises 41