
Course Outline
Outline,PDF (20 K)
Links
An informative and in depth introduction, but no proofs
Eric Weistein's site
Similar to the above
J.D. Barrow's site
The best introduction with examples, but cuts out early
R. Knott's site
Brief introduction with some proofs
A. Van Tuyl's site
Similar to the aboveAlexander Bogomolny's site
Short introduction, good on the motivation but no proofs
Yury Grabovsky's site
Very cursory
Clark Kimberling's site
Number theory lecture notes, Chapter 16 is relevant
MP313
Number theory lectures
William Stein's site
Descriptions of areas/courses in number theory, lecture notes
NTW
Pianos and Continued Fractions
Edward G. Dunne's site
continued fractions and chaos
Robert Corless's article
Constants associated with continued fractions
Steve Finch's site
Continued Fraction Arithmetic
Bill Gosper's site
D.H. Bailey and R.E. Crandall's papers on normal numbers
baicran,
bcnormal
Bibliography
Bibliography,PDF ( K)
Lecture Notes
Introduction,PS (36 K)
Definitions,PDF (47 K)
Identities,PDF (31 K)
Some applications,PDF (32 K)
Rational Numbers, Euclid's GCD algorithm,PDF (55 K)
Recurrence relations,PDF (50 K)
Quadratic irrational numbers,PDF (57 K)
Bounds on and Convergence of continued fractions,PDF (67 K)
Algebraic and transcendental numbers,PDF ( K)
Klein model,PDF (13 K)
Assignment Given out at 3rd Lecture, 2182003, and due two weeks later, 492003. Place assignments in the 620113 box (no's 5 and 6) in the North corridor of the Richard Berry Building.
Assignment,PS (54 K)
Maple worksheets and PS files
Maple worksheet of simple examples,mws (15 K)
PS output of simple examples,PS (157 K)
Maple worksheet of CF for Pi,mws (36 K)
PS output of CF for Pi,PS (227 K)
Historical notes
Leonhard Euler,PS (844 K)
Carl Friederich Gauss,PS (1092 K)
Srinivasa Ramanujan,PS (545 K)
Aleksander Khinchin,PS (578 K)
