Mathematical Problems and Proofs

Combinatorics, Number Theory, and Geometry

  • Branislav Kisačanin

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

Introduction

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 The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some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

Keywords

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

Authors and affiliations

  • Branislav Kisačanin
    • 1
  1. 1.Delphi Delco Electronics SystemsKokomo

Bibliographic information

  • DOI https://doi.org/10.1007/b115295
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-306-45967-2
  • Online ISBN 978-0-306-46963-3
  • About this book