MARC Record from Ithaca College Library

LEADER: 03184cam a22002774a 45 0
001 334596
005 20051031143340.0
008 030612s2004 njua b 001 0 eng
010 $a 2003056324
035 $a52455491
040 $aDLC$cDLC$dC#P$dMUQ$dPGC$dOCL$dBAKER
020 $a069109294X
041 1 $aeng$hita
042 $apcc
050 00 $aQA26$b.O3513 2004
049 $aXIMM
100 1 $aOdifreddi, Piergiorgio,$d1950-
240 10 $aMatematica del Novecento.$lEnglish
245 14 $aThe mathematical century :$bthe 30 greatest problems of the last 100 years /$cPiergiorgio Odifreddi ; translated by Arturo Sangalli ; with a foreword by Freeman Dyson.
260 $aPrinceton :$bPrinceton University Press,$cc2004.
300 $axvi, 204 p. :$bill. ;$c23 cm.
504 $aIncludes bibliographical references (p. [187]-188) and index.
505 0 $a1. The foundations. The 1920s : Sets -- The 1940s : Structures -- The 1960s : Categories -- The 1980s : Functions -- 2. Pure mathematics. Mathematical analysis : Lebesgue measure (1902) -- Algebra : classification of fields (1910) -- Topology : Brouwer's fixed-point theorem (1910) -- Number theory : Gelfand transcendental numbers (1929) -- Logic : Gödel's incompleteness theorem (1931) -- The calculus of variations : Douglas's minimal surfaces (1931) -- Mathematical analysis : Schwartz's theory of distribution (1945) -- Differential topology : Milnor's exotic structures (1956) -- Model theory : Robinson's hyperreal numbers (1961) -- Set theory : Cohen's independence theorem (1963) -- Singularity theory : Thom's classification of catastrophes (1964) -- Algebra : Gorenstein's classification of finite groups (1972) -- Topology : Thurston's classification of 3-dimensional surfaces (1982) -- Number theory : Wiles proof of Fermat's last theorem (1995) -- Discrete geometry : Hales's solution of Kepler's problem (1998) --
505 0 $a3. Applied mathematics. Crystallography : Bieberbach's symmetry groups (1910) -- Tensor calculus : Einstein's general theory of relativity (1915) -- Game theory : Von Neumann's minimax theorem (1928) -- Functional analysis : Von Neumann's axiomatization of quantum mechanics (1932) -- Probability theory : Kolmogorov's axiomatization (1933) -- Optimization theory : Dantzig's simplex method (1947) -- General equilibrium theory : the Arrow-Debreu existence theorem (1954) -- The theory of formal languages : Chomsky's classification (1957) -- Dynamical systems theory : the KAM theorem (1962) -- Knot theory : Jones invariants (1984) -- 4. Mathematics and the computer. The theory of algorithms : Turing's characterization (1936) -- Artificial intelligence : Shannon's analysis of the game of chess (1950)-- Chaos theory : Lorenz's strange attractor (1963) -- Computer-assisted proofs : the four-color theorem of Appel and Haken (1976) -- Fractals : the Mandelbrot set (1980) -- 5. Open problems. Arithmetic : the perfect numbers problem (300 B.C.) -- Complex analysis : the Riemann hypothesis (1859) -- Algebraic topology : the Poincaré conjecture (1904) -- Complexity theory : the P = NP problem (1972).
650 0 $aMathematics$xHistory$y20th century.
994 $aC0$bXIM