© 2002

Mathematical Problems and Proofs

Combinatorics, Number Theory, and Geometry


Table of contents

  1. Front Matter
    Pages i-xv
  2. Pages 1-18
  3. Pages 19-72
  4. Pages 73-116
  5. Pages 117-161
  6. Back Matter
    Pages 165-220

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 The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some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.


Combinatorics Prime Problem-solving algorithms function geometry mathematics number theory proof theorem

Authors and affiliations

  1. 1.Delphi Delco Electronics SystemsKokomo

Bibliographic information

  • Book Title Mathematical Problems and Proofs
  • Book Subtitle Combinatorics, Number Theory, and Geometry
  • Authors Branislav Kisacanin
  • DOI
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-306-45967-2
  • Softcover ISBN 978-1-4757-7142-8
  • eBook ISBN 978-0-306-46963-3
  • Edition Number 1
  • Number of Pages XV, 220
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Combinatorics
    Mathematics, general
    Mathematics Education
    Number Theory
  • Buy this book on publisher's site