Multidimensional Continued Fractions Book

1	Piecewise fractional linear maps	1
2	Brentjes' formalism	8
3	Ergodic theory of fibred systems	16
4	Jacobi-Perron algorithm	24
5	Guting's algorithm	37
6	Brun's algorithm	45
7	Selmer's algorithm	53
8	Generalized subtractive algorithms	62
9	Fully subtractive algorithms	69
10	Skew products	82
11	Continued fractions on simplices	87
12	The convergence method of Greiter	102
13	Periodic expansions	111
14	Convergence and rational dependence	120
15	Diophantine approximation	127
16	The second Lyapunov exponent	140
17	Periodic Jacobi-Perron algorithms	146
18	Convergence for periodic expansions	157
19	Volume as a measure of approximation	164
20	Complex continued fractions	170
21	The Poincare algorithm	182
22	Dimension of exceptional sets	201
23	A Kuzmin theorem	209
24	Some applications	220
	References	224
	Index	233