Sums and Products


Sums and Products
by Titu Andreescu - Marian Tetiva
Pages count :343 pages
Size :13367 ko

Contents

Introduction
  • 1 Telescoping Sums and Products in Algebra
  • 2 Telescoping Sums and Products in Trigonometry
  • 3 Complex Numbers and de Moivre’s Formula
  • 4 The Abel Summation Formula
  • 5 Mathematical Induction
  • 6 Combinatorial Identities and Generating Functions
  • 7 Sums and Products in Number Theory
  • 8 Problems
    • 1 Easy Problems
    • 2 Medium Problems
    • 3 Hard Problems
  • 9 Solutions
    • 1 Solutions to Easy Problems
    • 2 Solutions to Medium Problems
    • 3 Solutions to Hard Problems

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