The Golden Ticket: P, NP, and the Search for the Impossible

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Please follow the detailed Help center instructions to transfer the files to supported eReaders. In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation. What is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin?

It sounds simple enough, yet the traveling salesman problem is one of the most intensely studied puzzles in applied mathematics—and it has defied solution to this day. In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the s when Irish mathematician W.

The Golden Ticket: P, NP, and the Search for the Impossible

He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets. Some images inside the book are unavailable due to digital copyright restrictions. The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed.


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In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define—and why so many questions still surround them.

Fascinating and illuminating, this is a book for everyone who loves math and the history behind it. Count Like an Egyptian: A Hands-on Introduction to Ancient Mathematics. From Literature to Biterature. The Simplex Method of Linear Programming. The Mathematics of Various Entertaining Subjects.

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Machinery of the Mind. The Power of Algorithms.

Cryptographic Boolean Functions and Applications. The conjecture of Syracuse. The Fractal Nature of Enterprise 2. Mathematics in Popular Culture. Calculus of Variations and Optimal Control Theory.

The Golden Ticket P NP and the Search for the Impossible

Complex Analysis and Differential Equations. Ergodic Optimization in the Expanding Case. Hybrid dynamics in large-scale logistics networks. Introduction to Evolutionary Informatics. Robert J Marks II. Quantum Computational Number Theory.

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Algorithms and Models for the Web Graph. Approximations, Numerical Analysis and Applications. Minimal Free Resolutions over Complete Intersections. Optimization of Polynomials in Non-Commuting Variables.

The Golden Ticket: P, NP, and the Search for the Impossible - Lance Fortnow - Google Книги

Convex Analysis and Optimization in Hadamard Spaces. Constructive Nonsmooth Analysis and Related Topics. Topics in Fixed Point Theory. P, NP, and the Search for the Impossible. The Hardest Problems in NP.

The Prehistory of P versus NP. Chapter Notes and Sources.