Introduction to the Natural Numbers

  • Daniel Rosenthal
  • David Rosenthal
  • Peter Rosenthal
Part of the Undergraduate Texts in Mathematics book series (UTM)


The natural numbers are the numbers that we count with; that is, the numbers 1, 2, 3, 4, 5, 6 and so on. We describe the basic properties of the natural numbers. We explain why the product of two negative integers is positive. We prove that there is no largest prime number, and discuss two famous unsolved problems about prime numbers.

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Daniel Rosenthal
    • 1
  • David Rosenthal
    • 2
  • Peter Rosenthal
    • 3
  1. 1.TorontoCanada
  2. 2.Department of Mathematics and Computer ScienceSt. John’s UniversityQueensUSA
  3. 3.Department of MathematicsUniversity of TorontoTorontoCanada

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