The Great Mathematical Problems

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Profile Books, 7 mar 2013 - 340 pagine

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics.

The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries.

Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

 

Sommario

Preface
Great problems
Prime territory Goldbach Conjecture
The puzzle of pi Squaring the Circle
Mapmaking mysteries Four Colour Theorem
Sphereful symmetry Kepler Conjecture
New solutions for old Mordell Conjecture
Inadequate margins Fermats Last Theorem
Fluid thinking NavierStokes Equation
Quantum conundrum Mass Gap Hypothesis
Diophantine dreams BirchSwinnertonDyer Conjecture
Complex cycles Hodge Conjecture
Where next?
Twelve for the future
Glossary
Further reading

Orbital chaos ThreeBody Problem
Patterns in primes Riemann Hypothesis
What shape is a sphere? Poincaré Conjecture
They cant all be easy PNP Problem

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Informazioni sull'autore (2013)

Ian Stewart is Emeritus Professor of Mathematics at Warwick University. He has published more than eighty books including Mathematics of Life , Professor Stewart's Cabinet of Mathematical Curiosities , Professor Stewart's Hoard of Mathematical Treasures and The Science of Discworld trilogy with Terry Pratchett. He is a Fellow of the Royal Society, appears frequently on radio and television, and does research on pattern formation and network dynamics.

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