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Viser: Lessons in Play - An Introduction to Combinatorial Game Theory, Second Edition
Lessons in Play Vital Source e-bog
Michael H. Albert, Richard J. Nowakowski og David Wolfe
(2019)
Lessons in Play Vital Source e-bog
Michael H. Albert, Richard J. Nowakowski og David Wolfe
(2019)
Lessons in Play
An Introduction to Combinatorial Game Theory, Second Edition
Michael Albert, Richard Nowakowski og David Wolfe
(2019)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Taylor & Francis (April 2019)
- Forfattere: Michael H. Albert, Richard J. Nowakowski og David Wolfe
- ISBN: 9780429537561
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Taylor & Francis (April 2019)
- Forfattere: Michael H. Albert, Richard J. Nowakowski og David Wolfe
- ISBN: 9780429524097
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 2. Udgave
- Hardback: 329 sider
- Udgiver: A K Peters, Limited (April 2019)
- Forfattere: Michael Albert, Richard Nowakowski og David Wolfe
- ISBN: 9781482243031
This second edition of Lessons in Play reorganizes the presentation of the popular original text in combinatorial game theory to make it even more widely accessible. Starting with a focus on the essential concepts and applications, it then moves on to more technical material. Still written in a textbook style with supporting evidence and proofs, the authors add many more exercises and examples and implement a two-step approach for some aspects of the material involving an initial introduction, examples, and basic results to be followed later by more detail and abstract results.
Features
- Employs a widely accessible style to the explanation of combinatorial game theory
- Contains multiple case studies
- Expands further directions and applications of the field
- Includes a complete rewrite of CGSuite material
0.
1 Basic Terminology Problems 1 Basic Techniques
1.
1 Greedy
1.
2 Symmetry
1.
3 Parity
1.
4 Give Them Enough Rope!
1.
5 Strategy Stealing
1.
6 Change the Game!
1.
7 Case Study: Long Chains in Dots & Boxes Problems 2 Outcome Classes
2.
1 Outcome Functions
2.
2 Game Positions and Options
2.
3 Impartial Games: Minding Your Ps and Ns
2.
4 Case Study: Roll The Lawn
2.
5 Case Study: Timber
2.
6 Case Study: Partizan Endnim Problems 3 Motivational Interlude: Sums of Games
3.
1 Sums
3.
2 Comparisons
3.
3 Equality and Identity
3.
4 Case Study: Domineering Rectangles Problems 4 The Algebra of Games
4.
1 The Fundamental Definitions
4.
2 Games Form a Group with a Partial Order
4.
3 Canonical Form
4.
4 Case Study: Cricket Pitch
4.
5 Incentives Problems 5 Values of Games
5.
1 Numbers
5.
2 Case Study: Shove
5.
3 Stops
5.
4 A Few All-Smalls: Up, Down, and Stars
5.
5 Switches
5.
6 Case Study: Elephants & Rhinos
5.
7 Tiny and Miny
5.
8 Toppling Dominoes
5.
9 Proofs of Equivalence of Games and Numbers Problems 6 Structure
6.
1 Games Born by Day 2
6.
2 Extremal Games Born By Day n
6.
3 More About Numbers
6.
4 The Distributive Lattice of Games Born by Day n
6.
5 Group Structure Problems 7 Impartial Games
7.
1 A Star-Studded Game
7.
2 The Analysis of Nim
7.
3 Adding Stars
7.
4 A More Succinct Notation
7.
5 Taking-and-Breaking Games
7.
6 Subtraction Games
7.
7 Keypad Games Problems 8 Hot Games
8.
1 Comparing Games and Numbers
8.
2 Coping with Confusion
8.
3 Cooling Things Down
8.
4 Strategies for Playing Hot Games
8.
5 Norton Products Problems 9 All-Small Games
9.
1 Cast of Characters
9.
2 Motivation: The Scale of Ups
9.
3 Equivalence Under
9.
4 Atomic Weight
9.
5 All-Small Shove
9.
6 More Toppling Dominoes
9.
7 Clobber Problems 10 Trimming Game Trees
10.
1 Introduction
10.
2 Reduced Canonical Form
10.
3 Hereditary-Transitive Games
10.
4 Ordinal Sum
10.
5 Stirling-Shave
10.
6 Even More Toppling Dominoes Problems Further Directions 1 Transfinite Games 2 Algorithms and Complexity 3 Loopy Games 4 Kos: Repeated Local Positions 5 Top-Down Thermography 6 Enriched Environments 7 Idempotents 8 Mis'ere Play 9 Scoring Games A Top-Down Induction A.
1 Top-Down Induction A.
2 Examples A.
3 Why is Top-Down Induction Better? A.
4 Strengthening the Induction Hypothesis A.
5 Inductive Reasoning Problems B CGSuite B.
1 Installing CGSuite B.
2 Worksheet Basics B.
3 Programming in CGSuite's Language C Solutions to Exercises D Rulesets