Visions of Infinity: The Great Mathematical Problems [Stewart]

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Visions of Infinity: The Great Mathematical Problems
by Ian Stewart

Summary 

[b]Visions of Infinity: The Great Mathematical Problems (2013) by acclaimed science writer Ian Stewart explores 14 of the most famous, elusive, and consequential puzzles in mathematical history.[/b]

• [b]The Core Premise: Stewart argues that the true value of a "Great Problem" isn't just finding the answer; it is the entirely new fields of science, technology, and logical techniques that are invented along the way while trying to solve it.[/b]
  
• [b]The Puzzles: The book covers a mix of historic milestones, famously solved riddles, and ongoing multi-million-dollar Millennium Prize problems. These include Fermat’s Last Theorem (solved by Andrew Wiles), the Poincaré Conjecture (solved by Grigori Perelman), the Riemann Hypothesis (the "Holy Grail" of prime numbers), and computer science's ultimate question, P vs. NP.[/b]
  
• [b]The Narrative: Rather than bogging the reader down in dense formulas, Stewart uses accessible analogies and historical anecdotes. He highlights the human element—the eccentric, brilliant, and sometimes obsessive geniuses who dedicated their lives to these challenges.[/b]
  

In short: It is an engaging, highly accessible history of mathematics told through its greatest mysteries, showing how abstract, impractical questions ultimately build the foundation for our modern technological world.

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