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Visions of infinity; the great mathematical problems.


Visions of infinity; the great mathematical problems.

Stewart, Ian.

Basic Books


340 pages




Writing for a general audience, Stewart (emeritus, mathematics, Warwick U., England) describes some of the great mathematical problems of history, how mathematicians have approached them, and their importance to scientific progress. For example, he describes how Fermat's last theorem, first posited in the year 1630, remained unsolved until Andrew Wiles published his solution in 1995 while also explaining how work on Fermat's theorem led to the development of algebraic number theory and complex analysis. Other problems discussed include the Goldbach Conjecture, the Four Color Theorem, the Kepler Conjecture, the Mordell Conjecture, the Riemann Hypothesis, the Poincare Conjecture, the P/NP Problem, the Navier-Stokes Equation, the Mass Gap Hypothesis, the Birch-Swinnerton-Dyer Conjecture, and the Hodge Conjecture. He also briefly addresses twelve more problems that are likely to be important to the future progress of mathematics.

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Publication:Reference & Research Book News
Article Type:Brief article
Date:Apr 1, 2013
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