Dedication

pp v-vi

Contents

pp vii-x

Preface to the second edition

pp xi-xiii

Preface to the first edition

pp xiv-xvi

List of Symbols

pp xvii-xx

Part I - Combinatorial Enumeration

pp 1-2

1 - Introduction

pp 3-16

2 - Generating functions

pp 17-59

3 - Univariate asymptotics

pp 60-86

Part II - Mathematical Background

pp 87-88

4 - Fourier–Laplace integrals in one variable

pp 89-113

5 - Multivariate Fourier–Laplace integrals

pp 114-133

6 - Laurent series, amoebas, and convex geometry

pp 134-166

Part III - Multivariate Enumeration

pp 167-168

7 - Overview of analytic methods for multivariate GFs

pp 169-220

8 - Effective computations and ACSV

pp 221-244

9 - Smooth point asymptotics

pp 245-290

10 - Multiple point asymptotics

pp 291-338

11 - Cone point asymptotics

pp 339-380

12 - Combinatorial applications

pp 381-423

13 - Challenges and extensions

pp 424-437

Appendix A - Integration on manifolds

pp 438-461

Appendix B - Algebraic topology

pp 462-479

Appendix C - Residue forms and classical Morse theory

pp 480-512

Appendix D - Stratification and stratified Morse theory

pp 513-532

References

pp 533-552

Author Index

pp 553-558

Subject Index

pp 559-572