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Crux Mathematicorum (CRUX) is available as a free online publication as of January 2019 (supported by the Intact Foundation). CRUX has been referred to as "the best problem solving journal in the world." All the problems and solutions are fully peer-reviewed for clarity, completeness and rigour by academic and professional mathematicians. Crux includes an "Olympiad Corner" which is particularly helpful for students preparing for math competitions.

Mathematics --- Mathématiques --- Mathematics. --- Math --- Science --- Matemàtica. --- Matemàtiques (Ciència) --- Ciència --- Alfabetisme matemàtic --- Àlgebra --- Anàlisi matemàtica --- Aritmètica --- Axiomes --- Biomatemàtica --- Congruències (Geometria) --- Congruències i residus --- Constants matemàtiques --- Descomposició (Matemàtica) --- Dinàmica --- Estadística --- Factorització (Matemàtica) --- Filtres (Matemàtica) --- Formes (Matemàtica) --- Formes normals (Matemàtica) --- Geometria --- Geografia matemàtica --- Inducció (Matemàtica) --- Infinit --- Lògica matemàtica --- Matemàtica aplicada --- Matemàtica japonesa --- Màxims i mínims --- Nombres --- Quarta dimensió --- Successions (Matemàtica) --- Teoria de conjunts --- Teoria de l'índex (Matemàtica) --- Teoria de la computació --- Variables (Matemàtica) --- Didàctica de la matemàtica --- Ensenyament de la matemàtica --- Història de la matemàtica --- Matemàtics

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Mathematics --- wiskunde

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Approximation theory --- Congresses

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The essays in this book explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge. This book includes the following essays: • A Historical Gaze at the Mathematical Aesthetic, by Nathalie Sinclair and David Pimm • Aesthetics for the Working Mathematician, by Jonathan M. Borwein • Beauty and Truth in Mathematics, by Doris Schattschneider • Experiencing Meanings in Geometry, by David W. Henderson and Daina Taimina • The Aesthetic Sensibilities of Mathematicians, by Nathalie Sinclair • The Meaning of Pattern, by Martin Schiralli • Mathematics, Aesthetics and Being Human, by William Higginson • Mechanism and Magic in the Psychology of Dynamic Geometry, by R. Nicholas Jackiw • Drawing on the Image in Mathematics and Art, by David Pimm • Sensible Objects, by Dick Tahta • Aesthetics and the ‘Mathematical Mind’, by David Pimm and Nathalie Sinclair.

7.01 --- 72.01 --- Mathematics. --- Aesthetics. --- 51 --- Beautiful, The --- Beauty --- Esthetics --- Taste (Aesthetics) --- Philosophy --- Art --- Criticism --- Literature --- Proportion --- Symmetry --- Math --- Science --- Kunst (esthetica) --- Kunstesthetica --- Architectuur (esthetica) --- Architectuuresthetica --- Mathematica --- Wiskunde --- Psychology --- Aesthetics --- Mathematics --- Radio broadcasting Aesthetics

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Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

Banach spaces. --- Electronic books. -- local. --- Functional analysis. --- Banach spaces --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematics. --- Topology. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Functions of complex variables --- Generalized spaces --- Topology --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear