The Honors Class: Hilbert's Problems and Their SolversThis eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world. In a monumental address, given to the International Congress of Mathematicians in Paris in 1900, David Hilbert, perhaps the most respected mathematician of his time, developed a blueprint for mathematical research in the new century. |
Contents
| 1883 | |
| 1904 | |
| 1906 | |
Notes | 1924 |
How Many Real Numbers Are There? | |
Cant We Do This with a Computer? | |
In the Original | |
Distance | |
The Inordinate Allure of the Prime Numbers | |
What Is Algebra? | |
Graph That Curve | |
Analysis Takes at Least Seven Years | |
Schools Amid Turbulence | |
Past Chernaya Rechka to 6I Savushkina Street | |
Selected Bibliography | |
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Aleksandrov algebraic geometry algebraic number algebraic number theory algebraic topology analysis arithmetic Arnold Artin axiom of choice became Bieberbach Bolibruch Braun calculation called Cantor class field theory Cohen complex constructed continuum hypothesis countable Darboux Davis Dehn differential equations diophantine equations existence father finite number formal Frankfurt Gelfond German Gleason Gödel Göttingen Hasse Hilbert problem Hilbert's tenth problem Honda ideas infinite Institute interested Julia Koebe Kolmogorov language later lectures logic mathematicians mathematics Matiyasevich Max Dehn method Montgomery Moscow Natascha natural numbers Nazi number theory paper physics Poincaré Poincare’s polynomial prime numbers Princeton probably professor proof proved published Putnam question rational numbers real numbers recursive result Riemann Riemann hypothesis rigorous Russian says Schneider seminar set theory Siegel solution solved started statement Takagi talk tenth problem theorem thesis transcendental numbers University variables Weyl whole numbers writes wrote zeta function Zippin