[Mathematical Book] ✓ Visions of Infinity: The Great Mathematical Problems PDF by Ian Stewart ↠ eBook or Kindle ePUB free

Stewart repeatedly shows how a trivial mathematical curiosity can open up vital new conceptual insights. We feel that meaning again when a brilliant Russian mathematician retreats into reclusive isolation, distressed because of initial skepticism toward his groundbreaking work on a nineteenth-century riddle. --Bryce Christensen . And we

Title	:	Visions of Infinity: The Great Mathematical Problems
Author	:	Ian Stewart
Rating	:	4.66 (472 Votes)
Asin	:	0465064892
Format Type	:	Paperback
Number of Pages	:	352Pages
Publish Date	:	2014-9-8
Language	:	English

Stewart repeatedly shows how a trivial mathematical curiosity can open up vital new conceptual insights. We feel that meaning again when a brilliant Russian mathematician retreats into reclusive isolation, distressed because of initial skepticism toward his groundbreaking work on a nineteenth-century riddle. --Bryce Christensen . And we feel the human meaning of mathematical achievement when a triumphant British analyst weeps before television cameras after finally proving a seventeenth-century algebraic theorem. But we relish the intellectual stimulation of joining him in exploring mathematical problems that have pushed even genius to the limit. We thrill, for instance, to the ingenuity of a great Chinese mathematician coming tantalizingly close to proving the centuries-old Goldbach Conjecture. From Booklist *Starred Review* Few of us share Stewart’s mathematical skills. Readers learn, for example, that the apparently inconsequential four-color problem has led investigators deep into theoretical physics and has compelled fundamental rethinking of what constitutes a mathematical proof in a computerized age.

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It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Such challenges offer a tantalizing glimpse of the field’s unlimited potential, and keep mathematicians looking toward the horizons of intellectual possibility.

In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. The three-century effort to prove Fermat’s last theoremfirst posited in 1630, and finally solved by Andrew Wiles in 1995led to the creation of algebraic number theory and complex analysis. The Poincaré conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians’ understanding of three-dimensional shapes. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Indeed, the Riemann hypothesis, which Stewart refers to as the Holy Grail of pure mathematics,” and the P/NP problem, which straddles mathematics and computer science, could easil