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  • Textbook
  • © 2014

Problems from the Discrete to the Continuous

Probability, Number Theory, Graph Theory, and Combinatorics

Authors:

  1. Ross G. Pinsky

    1. Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel

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  • Treats problems from four different mathematical disciplines, under the common theme of asymptotic limits and generous use of generating function techniques
  • Presented rigorously and with enough detail to allow the advanced undergraduate student to use it for independent study
  • Excellent for a seminar course in which the students present the lectures
  • Includes supplementary material: sn.pub/extras

Part of the book series: Universitext (UTX)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiii
    PDF

  12. Back Matter

    Pages 133-154
    PDF
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About this book

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 melange 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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Keywords

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Authors and Affiliations

  • Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel

    Ross G. Pinsky

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About the author

Ross Pinsky is a Professor in the Department of Mathematics at Technion-Israel Institute of Technology.
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Bibliographic Information

  • Book Title: Problems from the Discrete to the Continuous

  • Book Subtitle: Probability, Number Theory, Graph Theory, and Combinatorics

  • Authors: Ross G. Pinsky

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-319-07965-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Softcover ISBN: 978-3-319-07964-6Published: 25 August 2014

  • eBook ISBN: 978-3-319-07965-3Published: 09 August 2014

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XIII, 154

  • Number of Illustrations: 8 illustrations in colour

  • Topics: Probability Theory and Stochastic Processes, Graph Theory, Number Theory, Combinatorics

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Buy it now

eBook USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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