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Exploring The Number Jungle: A Journey Into Diophantine Analysis (Broché)
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Sommaire
- A bit of foreshadowing and some rational rationale
- Building the rationals via Farey Sequences
- Discoveries of Dirichlet and Hurwitz
- The theory of continued fractions
- Enforcing the law of best approximates
- Markoff's spectrum and numbers
- Badly approximable numbers and quadratics
- Solving the alleged "Pell" equation
- Liouville's work on numbers algebraic and not
- Roth's stunning result and its consequences
- Pythagorean triples through diophantine geometry
- A quick tour through elliptic curves
- The geometry of numbers
- Simultaneous diophantine approximation
- Using geometry to sum some squares
- Spinning around irrationally and uniformly
- A whole new world of p-adic numbers
- A glimpse into p-adic analysis
- A new twist on Newton's method
- The power of acting locally while thinking globally.
Fiche technique
- Date de parution : 14/11/2000
- Editeur : American Mathematical Society
- Collection : student mathematical library
- ISBN : 0-8218-2640-9
- EAN : 9780821826409
- Présentation : Broché
- Nb. de pages : 151 pages
- Poids : 0.195 Kg
- Dimensions : 14,2 cm × 21,6 cm × 1,0 cm
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