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Paperback People, Problems, and Proofs: Essays from Gödel's Lost Letter: 2010 Book

ISBN: 3662523019

ISBN13: 9783662523018

People, Problems, and Proofs: Essays from Gödel's Lost Letter: 2010

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Book Overview

The Claimant, the Readers, and the Crowd.- Kenneth Iverson: Notation and Thinking.- Edmund Hillary: Proofs and Mountain Climbing.- Leonardo da Vinci: Proofs as Art.- Michael Atiyah: The Role of Proof.- Subhash Khot: Unique Games Conjecture.- Arno van den Essen: An Amazing Conjecture.- Richard Hamilton: Group Efforts.- Grigori Perelman: A New Clay Problem.- Eric Allender: Solvable Groups.- Enrico Bombieri: On Intuition.- Fred Hennie: Lower Bounds.- Volker Strassen: Amazing Results.- Adam Smith: Dumb Channels.- Georg Cantor: Diagonal Method.- Raymond Smullyan: The Reals Are Uncountable.- William Tutte: Flow Problems.- Basil Rathbone: Writing a Major Result.- Elwyn Berlekamp: Dots And Boxes.- David Johnson: Galactic Algorithms.- Warren Hirsch: Guessing The Truth.- Shimon Even: A Promise Problem.- Matei David: Improving Noam Nisan's Generator.- Ryan Williams: A New Lower Bound.- Joel Seiferas: More on the New Lower Bound.- Victor Klee: Big Results.- George Dantzig: Equations, Equations, and Equations.- Srinivasa Ramanujan: The Role of Amateurs.- John Rhodes: Approaches to Problems.- John Nash: Connections.- Chee Yap: Computing Digits of π.- Henri Lebesgue: Projections Are Tricky.- Nina Balcan: A New Model of Complexity.- Sam Buss: Bounded Logic.- Anton Klyachko: Car Crashes.- Bernard Chazelle: Natural Algorithms.- Thomas Jech: The Axiom of Choice.- Alfonso Bedoya: Definitions, Definitions, and Definitions.- Hartley Rogers: Complexity Classes.- Ron Fagin: Second Order Logic.- Daniel Lokshtanov: Knapsack Problem.- Albert Einstein: Beyond Polynomial Equations.- Denis Th?rien: Solvable Groups.- Andreas Bj?rklund: Hamiltonian Cycles.- David Hilbert: The Nullstellensatz.- John Hopcroft: Thinking out of the Box.- Dick Karp: The Polynomial Hierarchy.- Nick Howgrave-Graham and Antoine Joux: Attacking the Knapsack Problem.- Hedy Lamarr: The Role of Amateurs.- Nicolas Courtois: The Linearization Method.- Neal Koblitz: Attacks on Crypto-systems.- Richard Feynman: Miracle Numbers.- Patrick Fischer: Programming Turing Machines.- Roger Ap?ry: Explaining Proofs.- Ron Rivest: Mathematical Gifts.- Frank Ryan: The Quarterback Teaches.- Leonard Schulman: Associativity.- Paul Seymour: Graph Minors.- Alfred Tarski: Lower Bounds on Theories.- Ken Thompson: Playing Chess.- Virginia Vassilevska: Fixing Tournaments.- Arkadev Chattopadhyay: Computing Modulo Composites.- Charles Bennett: Quantum Protocols.

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