About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 109. Chapters: Continued fractions, Irrational numbers, Rational numbers, Sets of real numbers, Cantor set, Golden ratio, Interval, Extended real number line, Unit interval, Pell's equation, Real line, Mathematical constants, Vitali set, 0.999..., Mobius transformation, Generalized continued fraction, Square root of 2, Normal number, Incomplete gamma function, Natural logarithm of 2, Gauss's continued fraction, Pade table, Square root of 5, Stern-Brocot tree, Silver ratio, Minkowski's question mark function, Solving quadratic equations with continued fractions, Convergence problem, Apery's constant, Zeta constant, Hippasus, Zero sharp, Periodic continued fraction, Khinchin's constant, Gauss-Kuzmin-Wirsing operator, Pade approximant, Engel expansion, Euler's continued fraction formula, 142857, Rational zeta series, Complete quotient, Plastic number, Commensurability, Twelfth root of two, Tarski's axiomatization of the reals, Restricted partial quotients, Smith-Volterra-Cantor set, Rogers-Ramanujan continued fraction, Gauss-Kuzmin distribution, Square root of 3, One half, Superparticular number, Convergent, Stieltjes transformation, Nested intervals, Fundamental recurrence formulas, Chain sequence, Copeland-Erd s constant, Absolute difference, Omega constant, Completeness axiom, Prime constant, Levy's constant, Half-integer, Erd s-Borwein constant, Lochs' theorem, Cantor-Dedekind axiom, Stoneham number, Trigonometric number, Gregory number, Hundredth. Excerpt: In mathematics, the repeating decimal 0.999..., which may also be written as 0., or 0.(9), denotes a real number that can be shown to be the number one. In other words, the symbols 0.999... and 1 represent the same number. Proofs of this equality have been formulated with varying degrees of mathematical rigour, taking into account preferred development of the real numbers, ba...
