The Hidden Mathematics of Sport by Rob Eastaway and John Haigh is an engaging exploration of how probability, geometry, and statistical reasoning shape the games we watch and play. The book surveys a wide range of sports, applying mathematical thinking to questions of strategy, performance, and competitive structure. While tennis garners recurring analysis, the book’s real strength lies in its breadth. By examining patterns across multiple sports, the authors reveal principles broadly applicable to how competitive systems function.
One of the most interesting sections examines league standings and advancement structures that were once implemented for cricket and soccer. By analyzing how different frameworks reward performance, the authors highlight examples in which poorly designed systems unintentionally incentivize teams to underperform or lose. That observation underscores a simple but fundamental truth about sports. Competition works best when players and teams are clearly incentivized and rewarded for doing their very best. Anyone involved in designing or administering league advancement mechanisms would benefit from the perspectives offered here. Even when the examples come from other sports, the lessons translate easily to tennis leagues and tournament structures.
The tennis-specific material felt uneven to me. At times, the analysis borders on the obvious, such as the importance of holding serve. Experienced players will not find that insight particularly surprising. On the other hand, the book does offer some thoughtful discussions that illuminate aspects of the sport in ways players may not have considered. One example examines the geometry of the tennis court and how human visual perspective creates blind spots when judging line calls. That analysis effectively articulates why electronic line-calling systems outperform human officials. Machines can observe the same point from multiple simultaneous perspectives in ways that a single human observer cannot.
Taken as a whole, The Hidden Mathematics of Sport succeeds as a broad introduction to the analytical thinking that underpins many competitive games. I enjoyed it, but that is hardly surprising given my tendency to overthink the mechanics of sport. The book may not be a title most tennis players will actively seek out. Even so, it reinforces the idea that there are valuable insights to be gained by studying how other sports structure competition and evaluate performance.
At the same time, reading it left me with one lingering thought. A dedicated book on the mathematics of tennis should exist.
Fiend At Court participates in the Amazon Associates program and receives a paid commission on any purchases made via the links in this article. Details on the disposition of proceeds are available on the “About Fiend at Court” page.