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Beschreibung
Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical
computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so
fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long
wanted to understand this subject, and experts who want to fall in love with this field all over again.
Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical
computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so
fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long
wanted to understand this subject, and experts who want to fall in love with this field all over again.
Über den Autor
Cristopher Moore graduated from Northwestern University with honors in 1986, at the age of 18, with a B.A. in Mathematics, Physics, and Integrated Science. He received his Ph.D. in Physics from Cornell University at the age of 23. After a postdoc at the Santa Fe Institute, he joined the faculty of the University of New Mexico, where he holds joint appointments in Computer Science and Physics and Astronomy. He has written over 90 papers, on topics ranging from undecidability in dynamical systems, to quantum computing, to phase transitions in NP-complete problems, to the analysis of social and biological networks.

Stephan Mertens got his Diploma in Physics in 1989, and his Ph.D. in Physics in 1991, both from Georg-August University Göttingen. He holds scholarships from the "Studienstiftung des Deutschen Volkes", Germany's most prestigious organisation sponsoring the academically gifted. After his Ph.D. he worked for three years in the software industry before he joined the faculty of Otto-von-Guericke University Magdeburg as a theoretical physicist. His research focuses on disordered systems in statistical mechanics, average case complexity of algorithms, and parallel computing.
Inhaltsverzeichnis
  • 1: Prologue

  • 2: The Basics

  • 3: Insights and Algorithms

  • 4: Needles in a Haystack: The class NP

  • 5: Who is the Hardest One of All: NP-Completeness

  • 6: The Deep Question: P vs. NP

  • 7: Memory, Paths and games

  • 8: Grand Unified Theory of Computation

  • 9: Simply the Best: Optimization

  • 10: The Power of Randomness

  • 11: Random Walks and Rapid Mixing

  • 12: Counting, Sampling, and Statistical Physics

  • 13: When Formulas Freeze: Phase Transitions in Computation

  • 14: Quantum Computing

  • 15: Epilogue

  • 16: Appendix: Mathematical Tools

Details
Erscheinungsjahr: 2013
Fachbereich: Theoretische Physik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780199233212
ISBN-10: 0199233217
Sprache: Englisch
Einband: Gebunden
Autor: Moore, Cristopher
Hersteller: ACADEMIC
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 252 x 194 x 58 mm
Von/Mit: Cristopher Moore
Erscheinungsdatum: 25.07.2013
Gewicht: 2,099 kg
Artikel-ID: 129547229

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