| Record ID | marc_openlibraries_phillipsacademy/PANO_FOR_IA_05072019.mrc:78029174:3934 |
| Source | marc_openlibraries_phillipsacademy |
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050 00 $aQA26$b.O3513 2004
082 00 $a510/.9/04$221
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 00 $gCh. 1.$tFoundations -- $g1.1.$t1920s: Sets -- $g1.2.$t1940s: Structures -- $g1.3.$t1960s: Categories -- $g1.4.$t1980s: Functions -- $gCh. 2.$tPure Mathematics -- $g2.1.$tMathematical Analysis: Lebesgue Measure (1902) -- $g2.2.$tAlgebra: Steinitz Classification of Fields (1910) -- $g2.3.$tTopology: Brouwer's Fixed-Point Theorem (1910) -- $g2.4.$tNumber Theory: Gelfand Transcendental Numbers (1929) -- $g2.5.$tLogic: Godel's Incompleteness Theorem (1931) -- $g2.6.$tCalculus of Variations: Douglas's Minimal Surfaces (1931) -- $g2.7.$tMathematical Analysis: Schwartz's Theory of Distributions (1945) -- $g2.8.$tDifferential Topology: Milnor's Exotic Structures (1956) -- $g2.9.$tModel Theory: Robinson's Hyperreal Numbers (1961) -- $g2.10.$tSet Theory: Cohen's Independence Theorem (1963) -- $g2.11.$tSingularity Theory: Thom's Classification of Catastrophes (1964) -- $g2.12.$tAlgebra: Gorenstein's Classification of Finite Groups (1972) -- $g2.13.$tTopology: Thurston's Classification of 3-Dimensional Surfaces (1982) -- $g2.14.$tNumber Theory: Wiles's Proof of Fermat's Last Theorem (1995) -- $g2.15.$tDiscrete Geometry: Hales's Solution of Kepler's Problem (1998) -- $gCh. 3.$tApplied Mathematics -- $g3.1.$tCrystallography: Bieberbach's Symmetry Groups (1910) -- $g3.2.$tTensor Calculus: Einstein's General Theory of Relativity (1915) -- $g3.3.$tGame Theory: Von Neumann's Minimas Theorem (1928) -- $g3.4.$tFunctional Analysis: Von Neumann's Axiomatization of Quantum Mechanics (1932) -- $g3.5.$tProbability Theory: Kolmogorov's Axiomatization (1933) -- $g3.6.$tOptimization Theory: Dantzig's Simplex Method (1947) -- $g3.7.$tGeneral Equilibrium Theory: The Arrow-Debreu Existence Theorem (1954) -- $g3.8.$tTheory of Formal Languages: Chomsky's Classification (1957) -- $g3.9.$tDynamical Systems Theory: The KAM Theorem (1962) -- $g3.10.$tKnot Theory: Jones Invariants (1984) -- $gCh. 4.$tMathematics and the Computer -- $g4.1.$tTheory of Algorithms: Turing's Characterization (1936) -- $g4.2.$tArtificial Intelligence: Shannon's Analysis of the Game of Chess (1950) -- $g4.3.$tChaos Theory: Lorenz's Strange Attractor (1963) -- $g4.4.$tComputer-Assisted Proofs: The Four-Color Theorem of Appel and Haken (1976) -- $g4.5.$tFractals: The Mandelbrot Set (1980) -- $gCh. 5.$tOpen Problems -- $g5.1.$tArithmetic: The Perfect Numbers Problem (300 B.C.) -- $g5.2.$tComplex Analysis: The Riemann Hypothesis (1859) -- $g5.3.$tAlgebraic Topology: The Poincare Conjecture (1904) -- $g5.4.$tComplexity Theory: The P = NP Problem (1972).
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901 $ab22682508$bIII$c2268250$tbiblio
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