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ISBN: 3540600116 9783540600114 3540494014 Year: 1995 Volume: 1605 Publisher: Berlin: Springer,
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Functional analysis --- Convergence --- Convergentie --- Galerkin methoden --- Galerkin methods --- Méthodes Galerkin --- Differential equation, Elliptic --- Convergence (Mathématiques) --- Galerkin, Méthode de --- Numerical solutions --- Differential equations, Elliptic --- Convergence. --- Galerkin methods. --- Numerical solutions. --- Convergence (Mathématiques) --- Galerkin, Méthode de --- Differential equations [Elliptic] --- Differential equation, Elliptic - Numerical solutions. --- Differential equations, Elliptic - Numerical solutions.
ISBN: 3540639705 3540696776 9783540639701 Year: 1998 Volume: 1681. Publisher: Berlin Springer
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The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. These are analyzed using, e.g., elementary number theory, combinatorics, asymptotic analysis, and abstract measure theory. The book is written for any mathematician interested in the 3n+1 problem, and in the wealth of mathematical ideas employed to attack it.
Differential geometry. Global analysis --- Combinatorial probabilities --- Convergence --- Convergentie --- Mathematical sequences --- Numerical sequences --- Numerieke reeksen --- Reeksen (Wiskunde) --- Sequences (Mathematics) --- Suites (Mathématiques) --- Suites numériques --- Wiskundige reeksen --- Combinatorial probabilities. --- Convergence. --- Probabilités combinatoires --- Convergence (Mathématiques) --- Mathematical Theory --- Applied Mathematics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Suites (Mathématiques) --- Probabilités combinatoires --- Convergence (Mathématiques) --- Suites récurrentes (mathématiques) --- Recurrent sequences (Mathematics) --- Number theory. --- Computers. --- Number Theory. --- Theory of Computation. --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Number study --- Numbers, Theory of --- Algebra --- Probabilistic combinatorics --- Probabilities --- Suites récurrentes (mathématiques) --- Nombres, Théorie des --- Systèmes dynamiques --- Theorie des nombres --- Theorie probabiliste
ISBN: 3540632123 3540634142 3540661425 3540438416 9783540632122 9783540634140 9783540438410 9783540661429 Year: 2003 Publisher: Berlin : Springer,
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Mathematical analysis. --- Functions. --- Mathematical analysis --- Analyse mathématique --- Functions of several real variables --- Convergence --- Fonctions de plusieurs variables réelles --- Convergence (mathématiques) --- Fourier series --- Differential calculus --- Calculus, Integral --- Holomorphic functions --- Fourier, Séries de --- Calcul différentiel --- Calcul intégral --- Fonctions holomorphes --- Analyse mathématique. --- Fourier, Séries de. --- Calcul différentiel. --- Calcul intégral. --- Fonctions holomorphes. --- Fonctions de plusieurs variables réelles. --- Integration, Functional --- Spectral theory (Mathematics) --- Harmonic analysis --- Modular functions. --- Fourier transformations --- Functional analysis --- Intégration de fonctions. --- Théorie spectrale (mathématiques) --- Analyse harmonique (mathématiques) --- Fonctions modulaires. --- Fourier, Transformations de. --- Analyse fonctionnelle. --- Functions --- Analytic functions --- Manifolds (Mathematics) --- Riemann surfaces --- Differential forms --- Fonctions analytiques. --- Variétés (mathématiques) --- Riemann, Surfaces de. --- Formes différentielles. --- Analyse mathématique. --- Analyse mathématique --- Variétés (mathématiques) --- Formes différentielles. --- Fonctions de plusieurs variables réelles --- Convergence (mathématiques) --- Fourier, Séries de. --- Calcul différentiel. --- Calcul intégral. --- Intégration de fonctions. --- Théorie spectrale (mathématiques) --- Analyse harmonique (mathématiques)
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