Preface
Chapter I.Combinatorial Games
1.Introduction
2.НАCKENBUSH: A Detailed Example
3.How to Read This Book
4.A Survey of the Landscape
Chapter II.Short Games
1.The Group G
2.Canonical Form
3.Numbers
4.Infinitesimals
5.Temperature
6.Reduced Canonical Form
7.Atomic Weight
Chapter III.The Structure of G
1.Hereditary Structure
2.Lattice Structure
3.Group Structure
Chapter IV.Impartial Games
1.Nim Values
2.Heap Games
3.WYTHOFF
4.Generalized Sprague Grundy Theory
5.Nim Arithmetic
Chapter V.Misère Play
1.Misère NIM
2.Genus Theory
3.Misère Canonical Form
4.Misère Quotients
5.The Structure of Finite Misère Quotients
6.Partizan Misère Canonical Form
Chapter VI.Loopy Games
1.Coping with Cycles
2.Stoppers
3.Simplifcation of Stoppers
4.Sides
5.Idempotents
Chapter VII.Temperature Theory
1.Enriched Environments
2.Orthodoxy
3.Generalized Temperature
4.Generalized Thermography
5.Komaster Thermography
Chapter VIII.Transfinite Games
1.The Group PG
2.Surreal Numbers
3.The Structure of Surreal Numbers
4.Transfinite Nim Arithmetic
Appendix A.Open Problems
Appendix B.Mathematical Prerequisites
