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

People, problems, and proofs are the lifeblood of theoretical computer science. Behind the computing devices and applications that have transformed our lives are clever algorithms, and for every worthwhile algorithm there is a problem that it solves and a proof that it works. Before this proof there...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lipton, Richard J. (Autor), Regan, Kenneth W. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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 Thérien: Solvable Groups
  • Andreas Björklund: 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 Apéry: 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.