Title page for etd-0626107-130246


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URN etd-0626107-130246
Author Ching-hui Chuang
Author's Email Address No Public.
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Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language zh-TW.Big5 Chinese
Title Applications of recurrence relation
Date of Defense 2007-05-31
Page Count 81
Keyword
  • characteristic equation
  • characteristic root
  • constant coefficients
  • conjugate root
  • distinct root
  • Fibonacci numbers
  • general solution
  • homogeneous
  • method of annihilator
  • linear
  • method of binary number system
  • method of change of variable
  • method of divide-and-conquer relation
  • method of generating function
  • multiple root
  • method of logarithmic transformation
  • nonhomogeneous
  • nonlinear
  • operator
  • partial-fraction decomposition
  • particular solution
  • recurrence relation
  • recurrence sequences
  • Abstract Sequences often occur in many branches of applied mathematics. Recurrence
    relation is a powerful tool to characterize and study sequences. Some
    commonly used methods for solving recurrence relations will be investigated.
    Many examples with applications in algorithm, combination, algebra, analysis,
    probability, etc, will be discussed. Finally, some well-known contest
    problems related to recurrence relations will be addressed.
    Advisory Committee
  • Mei-Hui Guo - chair
  • Mong-Na Lo Huang - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0626107-130246.pdf
  • indicate not accessible
    Date of Submission 2007-06-26

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