
The Nature of Computation

The Nature of Computation

The Nature of Computation

The Origins and Nature of Computation  The ChurchTuring Thesis Consensus and Opposition

The Nature of Computation

Sir Roger Penrose — The quantum nature of consciousness

Jessica Flack: How Nature Solves Problems Through Computation

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P vs. NP and the Computational Complexity Zoo

The Origins and Nature of Computation/Formalizing Commomn Sense Knowledge in Mathematical Logic
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, cryptography, and quantum computing are usually considered too “advanced” to show to the typical student. The aim of this book is to bridge both 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 understand what their formalisms are actually telling.
This book gives a lucid and playful explanation of the field, starting with P and NPcompleteness. The authors explain why the P vs. NP problem is so fundamental, and why it is 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.
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