Concrete Mathematics A Foundation for Computer Science 2nd Edition by Ronald L. Graham, Donald E. Knuth, Oren Patashnik

Concrete Mathematics A Foundation for Computer Science 2nd Edition

Concrete Mathematics A Foundation for Computer Science Second Edition by Ronald L. Graham, Donald E. Knuth, Oren Patashnik

Contents of Concrete Mathematics Book

  • Recurrent Problems
  • The Tower of Hanoi
  • Lines in the Plane
  • The Josephus Problem
  • Exercises
  • Sums
  • Notation
  • Sums and Recurrences
  • Manipulation of Sums
  • Multiple Sums
  • General Methods
  • Finite and In nite Calculus
  • In nite Sums
  • Exercises
  • Integer Functions
  • Floors and Ceilings
  • Floor/Ceiling Applications
  • Floor/Ceiling Recurrences
  • Independent Residues
  • Additional Applications
  • Phi and Mu
  • Exercises
  • Binomial Coefficients
  • Basic Identities
  • Basic Practice
  • Tricks of the Trade
  • Generating Functions
  • Hypergeometric Functions
  • Hypergeometric Transformations
  • Partial Hypergeometric Sums
  • Mechanical Summation
  • Exercises
  • Special Numbers
  • Stirling Numbers
  • Eulerian Numbers
  • Harmonic Numbers
  • Harmonic Summation
  • Bernoulli Numbers
  • Fibonacci Numbers
  • Continuants
  • Exercises
  • Generating Functions
  • Domino Theory and Change
  • Basic Maneuvers
  • Solving Recurrences
  • Special Generating Functions
  • Convolutions
  • Exponential Generating Functions
  • Dirichlet Generating Functions
  • Exercises
  • Discrete Probability
  • De nitions
  • Mean and Variance
  • Probability Generating Functions
  • Flipping Coins
  • Hashing
  • Exercises
  • Asymptotics
  • A Hierarchy
  • O Notation
  • O Manipulation
  • Two Asymptotic Tricks
  • Euler’s Summation Formula
  • Final Summations
  • Exercises

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