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This text places emphasis on continued fraction Cantor sets and the Hausdorff dimension, algorithms and analysis of algorithms, and multi-dimensional algorithms for simultaneous diophantine approximation. Various computer-generated graphics are presented, and the underlying algorithms are discussed.
Continued fractions. --- Series. --- Algebra --- Mathematics --- Processes, Infinite --- Sequences (Mathematics) --- Fractions, Continued --- Series --- Number theory
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Complex analysis --- Number theory --- MATHEMATICS --- Processes, Infinite --- Sequences (Mathematics) --- Riemann, Bernhard --- Numbers, Prime. --- Series. --- Riemann, Bernhard, --- Numbers, Prime --- Series --- Algebra --- Mathematics --- Prime numbers --- Numbers, Natural --- Riemann, B. --- Riman, Georg Fridrikh Bernkhard, --- Riman, Bernkhard, --- Riemann, Georg Friedrich Bernhard,
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Mathematical analysis --- 517.54 --- 51 <082.1> --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Mathematics--Series --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Harmonic functions. --- Green's functions. --- Inequalities (Mathematics) --- Smoothness of functions. --- Fonctions harmoniques. --- Green, Fonctions de. --- Inégalités (mathématiques) --- Fonctions de lissage. --- Green's functions --- Harmonic functions --- Smoothness of functions --- Smooth functions --- Functions --- Processes, Infinite --- Functions, Harmonic --- Laplace's equations --- Bessel functions --- Differential equations, Partial --- Fourier series --- Harmonic analysis --- Lamé's functions --- Spherical harmonics --- Toroidal harmonics --- Functions, Green's --- Functions, Induction --- Functions, Source --- Green functions --- Induction functions --- Source functions --- Differential equations --- Potential theory (Mathematics)
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