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This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.The contrib

Partial differential equations --- Numerical approximation theory --- Differential equations --- Nonlinear theories. --- Numerical solutions --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- 517.91 Differential equations

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This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.

Number theory --- Ordered algebraic structures --- Algebra --- Geometry --- Functional analysis --- Numerical approximation theory --- Discrete mathematics --- Geology. Earth sciences --- Computer science --- algebra --- discrete wiskunde --- informatica --- wiskunde --- getallenleer --- geofysica --- geometrie --- Algebra. --- Fraccions contínues --- Geometria de nombres

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Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and func

Numerical approximation theory --- Wavelets (Mathematics) --- Numerical analysis. --- Numerical analysis --- Mathematical analysis --- Wavelet analysis --- Harmonic analysis --- 517.518.8 --- 519.6 --- 681.3*G1 --- 681.3*G1 Numerical analysis --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations

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This book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.

Functional analysis --- Numerical approximation theory --- Numerical analysis --- Mathematics --- Computer science --- Computer. Automation --- toegepaste wiskunde --- informatica --- wiskunde --- numerieke analyse --- Mathematics—Data processing. --- Numerical analysis. --- Approximation theory. --- Mathematics. --- Computational Mathematics and Numerical Analysis. --- Numerical Analysis. --- Approximations and Expansions. --- Applications of Mathematics. --- Mathematical Analysis

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The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researc

Cognitive psychology --- Numerical approximation theory --- Physiology of nerves and sense organs --- Number concept --- Cognitive neuroscience --- Space and time --- Mathematics --- Psychological aspects --- #KVHB:Cognitieve psychologie --- #KVHB:Rekenen --- #KVHB:Wiskunde --- 159.95*1 --- 159.95*1 Cognitieve psychologie --- Cognitieve psychologie --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Apperception --- Psychology --- Math --- Science --- Brain --- Logic of mathematics --- Mathematics, Logic of --- Philosophy. --- Evolution. --- Number concept - Congresses --- Cognitive neuroscience - Congresses --- Space and time - Psychological aspects - Congresses --- Mathematics - Psychological aspects - Congresses