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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