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Título : Convex Analysis and Nonlinear Optimization : Theoryand Examples Tipo de documento: documento electrónico Autores: Jonathan M. Borwein ; SpringerLink (Online service) ; Lewis, Adrian Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Colección: CMS Books in Mathematics, ISSN 1613-5237 Número de páginas: XII, 310 p Il.: online resource ISBN/ISSN/DL: 978-0-387-31256-9 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) optimization Calculus of variations Operations research Management science Optimization Variations and Optimal Control; Research, Science Clasificación: 51 Matemáticas Resumen: A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica Nota de contenido: Background -- Inequality Constraints -- Fenchel Duality -- Convex Analysis -- Special Cases -- Nonsmooth Optimization -- Karush—Kuhn—Tucker Theory -- Fixed Points -- More Nonsmooth Structure -- Postscript: Infinite Versus Finite Dimensions -- List of Results and Notation En línea: http://dx.doi.org/10.1007/978-0-387-31256-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34785 Convex Analysis and Nonlinear Optimization : Theoryand Examples [documento electrónico] / Jonathan M. Borwein ; SpringerLink (Online service) ; Lewis, Adrian . - New York, NY : Springer New York, 2006 . - XII, 310 p : online resource. - (CMS Books in Mathematics, ISSN 1613-5237) .
ISBN : 978-0-387-31256-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) optimization Calculus of variations Operations research Management science Optimization Variations and Optimal Control; Research, Science Clasificación: 51 Matemáticas Resumen: A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica Nota de contenido: Background -- Inequality Constraints -- Fenchel Duality -- Convex Analysis -- Special Cases -- Nonsmooth Optimization -- Karush—Kuhn—Tucker Theory -- Fixed Points -- More Nonsmooth Structure -- Postscript: Infinite Versus Finite Dimensions -- List of Results and Notation En línea: http://dx.doi.org/10.1007/978-0-387-31256-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34785 Ejemplares
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Título : Convex Functions and Their Applications : A Contemporary Approach Tipo de documento: documento electrónico Autores: Niculescu, Constantin P ; SpringerLink (Online service) ; Persson, Lars-Erik Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Otro editor: Imprint: Springer Colección: CMS Books in Mathematics, ISSN 1613-5237 Número de páginas: XVI, 256 p Il.: online resource ISBN/ISSN/DL: 978-0-387-31077-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Functions of real variables Convex geometry Discrete Real Analysis and Geometry Clasificación: 51 Matemáticas Resumen: Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors’ own experience, both in teaching and research. About the authors: Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear Analysis and Its Applications and also the graduate program in Applied Mathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynamical Systems, and has received several prizes both for research and exposition. Lars Erik Persson is Professor of Mathematics at Luleå University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Luleå, a member of the Swedish National Committee of Mathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from Umeå University in 1974. Dr. Persson has published on interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has received several prizes both for research and teaching Nota de contenido: Convex Functions on Intervals -- Comparative Convexity on Intervals -- Convex Functions on a Normed Linear Space -- Choquet’s Theory and Beyond En línea: http://dx.doi.org/10.1007/0-387-31077-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34781 Convex Functions and Their Applications : A Contemporary Approach [documento electrónico] / Niculescu, Constantin P ; SpringerLink (Online service) ; Persson, Lars-Erik . - New York, NY : Springer New York : Imprint: Springer, 2006 . - XVI, 256 p : online resource. - (CMS Books in Mathematics, ISSN 1613-5237) .
ISBN : 978-0-387-31077-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Functions of real variables Convex geometry Discrete Real Analysis and Geometry Clasificación: 51 Matemáticas Resumen: Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors’ own experience, both in teaching and research. About the authors: Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear Analysis and Its Applications and also the graduate program in Applied Mathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynamical Systems, and has received several prizes both for research and exposition. Lars Erik Persson is Professor of Mathematics at Luleå University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Luleå, a member of the Swedish National Committee of Mathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from Umeå University in 1974. Dr. Persson has published on interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has received several prizes both for research and teaching Nota de contenido: Convex Functions on Intervals -- Comparative Convexity on Intervals -- Convex Functions on a Normed Linear Space -- Choquet’s Theory and Beyond En línea: http://dx.doi.org/10.1007/0-387-31077-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34781 Ejemplares
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Título : Convexity and Well-Posed Problems Tipo de documento: documento electrónico Autores: Lucchetti, Roberto ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Otro editor: Imprint: Springer Colección: CMS Books in Mathematics, ISSN 1613-5237 Número de páginas: XIV, 305 p Il.: online resource ISBN/ISSN/DL: 978-0-387-31082-4 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Calculus of variations Operations research Management science Variations and Optimal Control; Optimization Research, Science Analysis Clasificación: 51 Matemáticas Resumen: Intended for graduate students especially in mathematics, physics, and economics, this book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. The primary goal is the study of the problems of stability and well-posedness, in the convex case. Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data. Well-posedness means that points with values close to the value of the problem must be close to actual solutions. In studying this, one is naturally led to consider perturbations of both functions and of sets. The book includes a discussion of numerous topics, including: * hypertopologies, ie, topologies on the closed subsets of a metric space; * duality in linear programming problems, via cooperative game theory; * the Hahn-Banach theorem, which is a fundamental tool for the study of convex functions; * questions related to convergence of sets of nets; * genericity and porosity results; * algorithms for minimizing a convex function. In order to facilitate use as a textbook, the author has included a selection of examples and exercises, varying in degree of difficulty. Robert Lucchetti is Professor of Mathematics at Politecnico di Milano. He has taught this material to graduate students at his own university, as well as the Catholic University of Brescia, and the University of Pavia Nota de contenido: Convex sets and convex functions: the fundamentals -- Continuity and ?(X) -- The derivatives and the subdifferential -- Minima and quasi minima -- The Fenchel conjugate -- Duality -- Linear programming and game theory -- Hypertopologies, hyperconvergences -- Continuity of some operations between functions -- Well-posed problems -- Generic well-posedness -- More exercises En línea: http://dx.doi.org/10.1007/0-387-31082-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34782 Convexity and Well-Posed Problems [documento electrónico] / Lucchetti, Roberto ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2006 . - XIV, 305 p : online resource. - (CMS Books in Mathematics, ISSN 1613-5237) .
ISBN : 978-0-387-31082-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Calculus of variations Operations research Management science Variations and Optimal Control; Optimization Research, Science Analysis Clasificación: 51 Matemáticas Resumen: Intended for graduate students especially in mathematics, physics, and economics, this book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. The primary goal is the study of the problems of stability and well-posedness, in the convex case. Stability means the basic parameters of a minimum problem do not vary much if we slightly change the initial data. Well-posedness means that points with values close to the value of the problem must be close to actual solutions. In studying this, one is naturally led to consider perturbations of both functions and of sets. The book includes a discussion of numerous topics, including: * hypertopologies, ie, topologies on the closed subsets of a metric space; * duality in linear programming problems, via cooperative game theory; * the Hahn-Banach theorem, which is a fundamental tool for the study of convex functions; * questions related to convergence of sets of nets; * genericity and porosity results; * algorithms for minimizing a convex function. In order to facilitate use as a textbook, the author has included a selection of examples and exercises, varying in degree of difficulty. Robert Lucchetti is Professor of Mathematics at Politecnico di Milano. He has taught this material to graduate students at his own university, as well as the Catholic University of Brescia, and the University of Pavia Nota de contenido: Convex sets and convex functions: the fundamentals -- Continuity and ?(X) -- The derivatives and the subdifferential -- Minima and quasi minima -- The Fenchel conjugate -- Duality -- Linear programming and game theory -- Hypertopologies, hyperconvergences -- Continuity of some operations between functions -- Well-posed problems -- Generic well-posedness -- More exercises En línea: http://dx.doi.org/10.1007/0-387-31082-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34782 Ejemplares
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Título : Duality for Nonconvex Approximation and Optimization Tipo de documento: documento electrónico Autores: Singer, Ivan ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Colección: CMS Books in Mathematics, ISSN 1613-5237 Número de páginas: XX, 356 p. 17 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-28395-1 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory Functional analysis Operator Mathematical optimization Theory Analysis Optimization Approximations and Expansions Clasificación: 51 Matemáticas Resumen: In this monograph the author presents the theory of duality for nonconvex approximation in normed linear spaces and nonconvex global optimization in locally convex spaces. Key topics include: * duality for worst approximation (i.e., the maximization of the distance of an element to a convex set) * duality for reverse convex best approximation (i.e., the minimization of the distance of an element to the complement of a convex set) * duality for convex maximization (i.e., the maximization of a convex function on a convex set) * duality for reverse convex minimization (i.e., the minimization of a convex function on the complement of a convex set) * duality for d.c. optimization (i.e., optimization problems involving differences of convex functions). Detailed proofs of results are given, along with varied illustrations. While many of the results have been published in mathematical journals, this is the first time these results appear in book form. In addition, unpublished results and new proofs are provided. This monograph should be of great interest to experts in this and related fields. Ivan Singer is a Research Professor at the Simion Stoilow Institute of Mathematics in Bucharest, and a Member of the Romanian Academy. He is one of the pioneers of approximation theory in normed linear spaces, and of generalizations of approximation theory to optimization theory. He has been a Visiting Professor at several universities in the U.S.A., Great Britain, Germany, Holland, Italy, and other countries, and was the principal speaker at an N. S. F. Regional Conference at Kent State University. He is one of the editors of the journals Numerical Functional Analysis and Optimization (since its inception in 1979), Optimization, and Revue d'analyse num\'erique et de th\'eorie de l'approximation. His previous books include Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces (Springer 1970), The Theory of Best Approximation and Functional Analysis (SIAM 1974), Bases in Banach Spaces I, II (Springer, 1970, 1981), and Abstract Convex Analysis (Wiley-Interscience, 1997) Nota de contenido: Preliminaries -- Worst Approximation -- Duality for Quasi-convex Supremization -- Optimal Solutions for Quasi-convex Maximization -- Reverse Convex Best Approximation -- Unperturbational Duality for Reverse Convex Infimization -- Optimal Solutions for Reverse Convex Infimization -- Duality for D.C. Optimization Problems -- Duality for Optimization in the Framework of Abstract Convexity -- Notes and Remarks En línea: http://dx.doi.org/10.1007/0-387-28395-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34749 Duality for Nonconvex Approximation and Optimization [documento electrónico] / Singer, Ivan ; SpringerLink (Online service) . - New York, NY : Springer New York, 2006 . - XX, 356 p. 17 illus : online resource. - (CMS Books in Mathematics, ISSN 1613-5237) .
ISBN : 978-0-387-28395-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory Functional analysis Operator Mathematical optimization Theory Analysis Optimization Approximations and Expansions Clasificación: 51 Matemáticas Resumen: In this monograph the author presents the theory of duality for nonconvex approximation in normed linear spaces and nonconvex global optimization in locally convex spaces. Key topics include: * duality for worst approximation (i.e., the maximization of the distance of an element to a convex set) * duality for reverse convex best approximation (i.e., the minimization of the distance of an element to the complement of a convex set) * duality for convex maximization (i.e., the maximization of a convex function on a convex set) * duality for reverse convex minimization (i.e., the minimization of a convex function on the complement of a convex set) * duality for d.c. optimization (i.e., optimization problems involving differences of convex functions). Detailed proofs of results are given, along with varied illustrations. While many of the results have been published in mathematical journals, this is the first time these results appear in book form. In addition, unpublished results and new proofs are provided. This monograph should be of great interest to experts in this and related fields. Ivan Singer is a Research Professor at the Simion Stoilow Institute of Mathematics in Bucharest, and a Member of the Romanian Academy. He is one of the pioneers of approximation theory in normed linear spaces, and of generalizations of approximation theory to optimization theory. He has been a Visiting Professor at several universities in the U.S.A., Great Britain, Germany, Holland, Italy, and other countries, and was the principal speaker at an N. S. F. Regional Conference at Kent State University. He is one of the editors of the journals Numerical Functional Analysis and Optimization (since its inception in 1979), Optimization, and Revue d'analyse num\'erique et de th\'eorie de l'approximation. His previous books include Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces (Springer 1970), The Theory of Best Approximation and Functional Analysis (SIAM 1974), Bases in Banach Spaces I, II (Springer, 1970, 1981), and Abstract Convex Analysis (Wiley-Interscience, 1997) Nota de contenido: Preliminaries -- Worst Approximation -- Duality for Quasi-convex Supremization -- Optimal Solutions for Quasi-convex Maximization -- Reverse Convex Best Approximation -- Unperturbational Duality for Reverse Convex Infimization -- Optimal Solutions for Reverse Convex Infimization -- Duality for D.C. Optimization Problems -- Duality for Optimization in the Framework of Abstract Convexity -- Notes and Remarks En línea: http://dx.doi.org/10.1007/0-387-28395-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34749 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Mathematics and the Aesthetic / SpringerLink (Online service) ; Sinclair, Nathalie ; Pimm, David ; Higginson, William (2007)
Título : Mathematics and the Aesthetic : New Approaches to an Ancient Affinity Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sinclair, Nathalie ; Pimm, David ; Higginson, William Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: CMS Books in Mathematics, ISSN 1613-5237 Número de páginas: XVI, 288 p. 78 illus., 13 illus. in color Il.: online resource ISBN/ISSN/DL: 978-0-387-38145-9 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematics, general Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: A Historical Gaze at the Mathematical Aesthetic -- A Historical Gaze at the Mathematical Aesthetic -- The Mathematician’s Art -- Aesthetics for the Working Mathematician -- Beauty and Truth in Mathematics -- Experiencing Meanings in Geometry -- A Sense for Mathematics -- The Aesthetic Sensibilities of Mathematicians -- The Meaning of Pattern -- Mathematics, Aesthetics and Being Human -- Mathematical Agency -- Mechanism and Magic in the Psychology of Dynamic Geometry -- Drawing on the Image in Mathematics and Art -- Sensible Objects -- Aesthetics and the ‘Mathematical Mind’ En línea: http://dx.doi.org/10.1007/978-0-387-38145-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34461 Mathematics and the Aesthetic : New Approaches to an Ancient Affinity [documento electrónico] / SpringerLink (Online service) ; Sinclair, Nathalie ; Pimm, David ; Higginson, William . - New York, NY : Springer New York, 2007 . - XVI, 288 p. 78 illus., 13 illus. in color : online resource. - (CMS Books in Mathematics, ISSN 1613-5237) .
ISBN : 978-0-387-38145-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematics, general Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: A Historical Gaze at the Mathematical Aesthetic -- A Historical Gaze at the Mathematical Aesthetic -- The Mathematician’s Art -- Aesthetics for the Working Mathematician -- Beauty and Truth in Mathematics -- Experiencing Meanings in Geometry -- A Sense for Mathematics -- The Aesthetic Sensibilities of Mathematicians -- The Meaning of Pattern -- Mathematics, Aesthetics and Being Human -- Mathematical Agency -- Mechanism and Magic in the Psychology of Dynamic Geometry -- Drawing on the Image in Mathematics and Art -- Sensible Objects -- Aesthetics and the ‘Mathematical Mind’ En línea: http://dx.doi.org/10.1007/978-0-387-38145-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34461 Ejemplares
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