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Inevitable Randomness in Discrete Mathematics (University Lecture Series)

Jozsef Beck




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 | #4717512 in Books |  American Mathematical Society |  2009-09-01 | Original language:English |  10.00 x7.25 x.50l,1.06 | File type: PDF | 250 pages

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Mathematics has been called the science of order. The subject is remarkably good for generalizing specific cases to create abstract theories. However, mathematics has little to say when faced with highly complex systems, where disorder reigns. This disorder can be found in pure mathematical arenas, such as the distribution of primes, the $3n+1$ conjecture, and class field theory. The purpose of this book is to provide examples--and rigorous proofs--of the complexity law:...

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