Bernoulli Number

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A Bernoulli number is one in a sequence of signed rational numbers that can be defined using a certain simple generating function. Bernoulli numbers are very important in number theory and analysis, and commonly arise in series expansions of trigonometric functions.

Bernoulli number is a college-level concept that would be first encountered in an analysis course.


Generating Function: The generating function of a sequence of numbers is a formal power series whose coefficients are the members of that sequence.

Classroom Articles on Analysis (Up to College Level)

  • Analysis
  • Delta Function
  • Banach Space
  • Fourier Series
  • Calculus of Variations
  • Functional Analysis
  • Cantor Set
  • Gamma Function
  • Convolution
  • Hilbert Space