The Rating of Chessplayers, Past & Present

1. The Elo Rating System
	1.1 Measurement of Chess Performance
	1.2 The Rating Scale
	1.3 The Normal Distribution Function
	1.4 The Normal Probability Function
	1.5 The Performance Rating Formula - Periodic Measurement
	1.6 The Current Rating Formula - Continuous Measurement
	1.7 Rating a Round Robin
	1.8 Linear Approximation Formulae
	1.9 Diverse Newer Applications
2. Tools and Tests of the Elo System
	2.1 The Percentage Expectancy Table
	2.2 Symbols and Nomenclature
	2.3 The Working Formulae of the Elo System
	2.4 Examples of Calculations
	2.5 Reliability of the Ratings
	2.6 Tests of the Rating System
	2.7 The U.S. Open Tournaments Test
	2.8 The Test of Time
3. Rating System Administration
	3.1 Ratings and Chess Activity
	3.2 Rating System Regulations
	3.3 Rating a Group of Unrated Players
	3.4 The Method of Successive Approximations
	3.5 The Integrity of the Ratings
	3.6 The Management of Deflation
	3.7 Deflation Control Processes
	3.8 Monitoring the Rating Pool
	3.9 The Rating System in Handicap Competition
4. International Titles and International Ratings
	4.1 The Concept of Titles
	4.2 International Recognition of Chessplayers
	4.3 International Titles and the Current Regulations
	4.4 The FIDE Rating System
	4.5 Calculation Procedures
	4.6 Special Character of the FIDE Pool
	4.7 The Titles in Practice - the First 32 Years
5. Past and Present - Historical Ratings
	5.1 Past vs Present
	5.2 Chess and Physics
	5.3 Footracing and Chess
	5.4 The Crosstables of 120 Years
	5.5 The 500 Best Five-Year Averages
	5.6 Some Incidental Discoveries
	5.7 A Century of Improvement
6. Development of Chessmaster Proficiency
	6.1 A Tool for Gerontology
	6.2 The Composite Player Development Curve
	6.3 The Ideal Curves for Chessmaster Development
	6.4 Effect of Age at Introduction to the Game
	6.5 Effect of Individual Circumstances
	6.6 Effects of Age and Experience
	6.7 The Serrated Nature of Development
7. Some Demographic Aspects
	7.1 Statistical Densities of Players and Talent
	7.2 The Soviet School of Chess
	7.3 The Distribution of Chess Proficiencies
	7.4 The Influence of Genetics
	7.5 Where the Masters Were Born
	7.6 An Historical Perspective
	7.7 A Chessmaster Profile
8. Rating System Theory
	8.1 Rating System Methodology
	8.2 Development of the Elo System
	8.3 Verhulst Distribution and the Logistic Function
	8.4 Logistic Probability as a Ratings Basis
	8.5 Rectangular Distribution as a Ratings Basis
	8.6 Valued Game Points in Rating System Design
	8.7 Comparative Summations
	8.8 Binomial Distribution and Small Samples
	8.9 Sundry Theoretical Topics
9. Appendix
	9.1 The Maxwell-Boltzmann Distribution and Chess Ratings
	9.2 Some Physical Analogies to Chessmaster Development
	9.3 Editorial Notes
	9.4 All-Time List of FIDE Titleholders
	9.5 All-Time List of Great Untitled Players
	9.6 Bibliography
	9.7 Index
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