Description

Book Synopsis


Trade Review
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

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

Numbers and Functions From a

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A Paperback by Victor H. Moll

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    View other formats and editions of Numbers and Functions From a by Victor H. Moll

    Publisher: MP-AMM American Mathematical
    Publication Date: 10/30/2012 12:00:00 AM
    ISBN13: 9780821887950, 978-0821887950
    ISBN10: 0821887955

    Description

    Book Synopsis


    Trade Review
    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

    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

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