Mathematical Pro...: Visions Of Infinity: The Great

In his book , celebrated mathematician Ian Stewart explores fourteen of the most formidable challenges in mathematics. Stewart argues that a "great problem" is defined not just by its difficulty, but by the new ideas and fields of research it inspires during the quest for a solution. The Vanquished: Solved Problems

Stewart highlights the lives and persistence of the individuals who dedicated their lives to these puzzles. Visions of Infinity: The Great Mathematical Pro...

Posited in 1630 and finally solved by Andrew Wiles in 1995, this three-century effort led to the creation of algebraic number theory. In his book , celebrated mathematician Ian Stewart

Stewart also details the "Holy Grails" that continue to baffle modern mathematicians: Posited in 1630 and finally solved by Andrew

A problem simple enough for a fourth-grader to understand—asking if four colors are enough for any map—that eventually required a massive computational effort to prove. The Enigmas: Unsolved Challenges

The deceptively simple idea that every even integer greater than 2 is the sum of two primes. Key Themes

Efforts to solve these problems often reveal deep, unexpected connections between unrelated fields.