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Mathematical Problems and Proofs

Combinatorics, Number Theory, and Geometry

  • Book
  • © 2002

Overview

Authors:
  1. Branislav Kisačanin

    1. Delphi Delco Electronics Systems, Kokomo

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xv
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  2. Set Theory

    Pages 1-18

  3. Combinatorics

    Pages 19-72

  4. Number Theory

    Pages 73-116

  5. Geometry

    Pages 117-161

  6. Back Matter

    Pages 165-220
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Keywords

About this book

A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The author guides readers through the process of solving enigmatic proofs and problems, and assists them in making the transition from problem solving to theorem proving.
At once a requisite text and an enjoyable read, Mathematical Problems and Proofs is an excellent entrée to discrete mathematics for advanced students interested in mathematics, engineering, and science.

Authors and Affiliations

  • Delphi Delco Electronics Systems, Kokomo

    Branislav Kisačanin

Bibliographic Information

  • Book Title: Mathematical Problems and Proofs

  • Book Subtitle: Combinatorics, Number Theory, and Geometry

  • Authors: Branislav Kisačanin

  • DOI: https://doi.org/10.1007/b115295

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-306-45967-2Published: 31 October 1998

  • Softcover ISBN: 978-1-4757-7142-8Published: 26 April 2013

  • eBook ISBN: 978-0-306-46963-3Published: 08 May 2007

  • Edition Number: 1

  • Number of Pages: XV, 220

  • Topics: Combinatorics, Mathematics, general, Mathematics Education, Number Theory

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