The Nature of Computation
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Short Description: 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... Read more
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 pseudoran-domness; 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.
"To put it bluntly: this book rocks! It's 900+ pages of awesome. It somehow manages to combine the fun of a popular book with the intellectual heft of a textbook, so much so that I don't know what to call it-- but whatever the genre is, there needs to be more of it!"
Scoll Aamison, Massachusetts Institute of Technology
"A creative, insightful, and accessible introduction to the theory of computing, written with a keen eye toward the frontiers of the field and a vivid enthusiasm for the subject matter."
Jon Kleinberg, Cornel University
"If you want to learn about complexity classes, scaling laws in computation, undecidability, randomized algorithms, how to prepare a dinner with Pommard, Quail and Roquefort, or the new ideas that quantum theory brings to computation, this is the right book. It offers a wonderful tour through many facets of computer science. It is precise and gets into details when necessary, but the main thread is always at hand, and entertaining anecdotes help to keep the pace."
Marc Mezard, Universite de Paris Sud, Orsay
"A treasure trove of ideas, concepts and information on algorithms and complexity theory. Serious material presented in the most delightful manner!"
Vijay Vazirani, Georgia Institute of Technology
"A fantastic and unique book---a must have guide to the theory of computation, for physicists and everyone else."
Riccardo Zecchina, Politecnico di Torino
- Cristopher Moore
- Stephan Mertens
- Oxford University Press
- Publication date
- Aug 9, 2011
- Product dimensions
- 198 x 259 x 52mm
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