The first part of this book introduces several ways that mathematics can be applied to golf. Since we are exploring the game in general, there are numerous conclusions that will be of use for all golfers, regardless of ability. Among the questions addressed in this first part are:
• What happens when the clubface is out of line with the target?
• How much difference does a downhill or uphill slope make?
• When putting, is it better to hit the ball hard or soft? Should you aim high or low?
• Is there any luck in putting? How much?
• Are you better off trying risky shots or playing cautiously?
• Is the USGA handicap system fair? If not, is it biased toward good players or bad players?
To answer these questions, we have developed several mathematical models. A mathematical model is a set of assumptions which (ideally) identifies in mathematical terms the most important aspects of a real world situation. The assumptions may come from physics or basic scientific principles, or they may represent a mathematical convenience. If the assumptions are realistic enough, then a mathematical analysis of the model can give us important insights into the physical situation.