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Numbers and Functions
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Table of Contents

  • Preface
  • The number systems
  • Factorials and binomial coefficients
  • The Fibonacci numbers
  • Polynomials
  • Binomial sums
  • Catalan numbers
  • The Stirling numbers of the second kind
  • Rational functions
  • Wallis’ formula
  • Farey fractions
  • The exponential function
  • Trigonometric functions
  • Bernoulli polynomials
  • A sample of classical polynomials: Legendre, Chebyshev, and Hermite
  • Landen transformations
  • Three special functions: Γ,𝜓, and 𝜁
  • Bibliography
  • Index

About the Author

Victor H. Moll, Tulane University, New Orleans, LA, USA

Reviews

On the whole, this is an extraordinarily interesting book overflowing with (mostly) elementary non-routine mathematics. It's well-written and a pleasure to read. I've been keeping it on my desk for the ease of access; it's going to stay there for some while. I recommend it wholeheartedly to math instructors, teachers, and students, especially those who have only a slight interest in the subject. The book is bound to expand their horizons." - MAA Reviews

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