Problems from the Discrete to the Continuous

Problems from the Discrete to the Continuous

By Ross G. Pinsky

  • Category: Mathematics, Books, Science & Nature
  • Type: ebook
  • Release Date: 2014-08-09
  • File Size: 3.24MB
  • Developer: Ross G. Pinsky
  • App Ratings: 0/5 (0 App Reviews)
  • Price: $54.99
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Problems from the Discrete to the Continuous Details

The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a mélange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.

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