7. Inductions and Numbers

  1. Theodore G. Faticoni

Published Online: 26 APR 2012

DOI: 10.1002/9781118243879.ch7

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition

How to Cite

Faticoni, T. G. (2012) Inductions and Numbers, in The Mathematics of Infinity: A Guide to Great Ideas, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118243879.ch7

Publication History

  1. Published Online: 26 APR 2012
  2. Published Print: 30 MAR 2012

ISBN Information

Print ISBN: 9781118204481

Online ISBN: 9781118243879

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Keywords:

  • mathematical induction;
  • transfinite induction;
  • mathematical recursion;
  • number theory;
  • perfect numbers

Summary

This chapter contains sections titled:

  • Mathematical Induction

  • Sums of Powers of Integers

  • Transfinite Induction

  • Mathematical Recursion

  • Number Theory

  • The Fundamental Theorem of Arithmetic

  • Perfect Numbers