Table of Content s
Preface i x
Chapter 1. Mathematic s and Sports (in Place of a Foreword) 1
Chapter 2. Wha t is Applied Mathematics? 5
Section 2. 1 Wha t ar e th e distinctiv e feature s o f applie d
mathematics? 5
Section 2. 2 Mathematica l model s 8
Section 2. 3 Operation s research 9
Chapter 3. Wh y Five Sets? (Mathematica l Modeling of Tennis) 13
Section 3. 1 A little history 13
Section 3. 2 Th e arithmetic of tennis 14
Section 3. 3 Ho w long should one play? 15
Section 3. 4 Elementar y concept s of probability theor y . . 16
Section 3. 5 Th e model of a game is a Markov chai n . . . . 18
Section 3. 6 Play ! 19
Section 3. 7 Finishin g the game 2 0
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