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Título : Mathematics and Culture II : Visual Perfection: Mathematics and Creativity Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michele Emmer Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Número de páginas: X, 203 p Il.: online resource ISBN/ISSN/DL: 978-3-540-26443-9 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Visualization History Applications of Mathematics, general Mathematical Sciences Clasificación: 51 Matemáticas Resumen: Creativity plays an important role in all human activities, from the visual arts to cinema and theatre, and in particular in science and mathematics . This volume, published only in English in the series "Mathematics and Culture", stresses the strong links between mathematics, culture and creativity in architecture, contemporary art, geometry, computer graphics, literature, theatre and cinema. So this book is designed not only for mathematicians but for all the people who have an interest in the various aspects of culture, both scientific and literary, with a special emphasis on the visual aspects Nota de contenido: Mathematics, Art and Architecture -- Mathematics, Art and Architecture -- From Tiling the Plane to Paving Town Square -- Mathematics in Contemporary Arts — Finite and Infinity -- De Insana Geometria -- Ovals in Borromini’s Geometry -- Fractals: A Resonance between Art and Nature -- Mathland — From Topology to Virtual Architecture -- Visual Mathematics and Computer Graphics -- Introduction: Visual Mathematics and Computer Graphics -- Math Awareness Month 2000: An Interactive Experience -- Visual Topology and Variational Problems on Two-Dimensional Surfaces -- Metarealistic Rendering of Real-time Interactive Computer Animations -- Virtual Sculptures -- Publication of Electronic Geometry Models -- Trees, Roots and a Brain: A Metaphorical Foundation for Mathematical Art -- Mathematics, Literature and Cinema -- Mathematics, Literature and Cinema -- Euclid’s Poetics: An examination of the similarity between narrative and proof -- The Rise of Narrative Non-Fiction -- Mathematics Takes Center Stage -- Mathematics and Raymond Queneau En línea: http://dx.doi.org/10.1007/b137592 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35238 Mathematics and Culture II : Visual Perfection: Mathematics and Creativity [documento electrónico] / SpringerLink (Online service) ; Michele Emmer . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - X, 203 p : online resource.
ISBN : 978-3-540-26443-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Visualization History Applications of Mathematics, general Mathematical Sciences Clasificación: 51 Matemáticas Resumen: Creativity plays an important role in all human activities, from the visual arts to cinema and theatre, and in particular in science and mathematics . This volume, published only in English in the series "Mathematics and Culture", stresses the strong links between mathematics, culture and creativity in architecture, contemporary art, geometry, computer graphics, literature, theatre and cinema. So this book is designed not only for mathematicians but for all the people who have an interest in the various aspects of culture, both scientific and literary, with a special emphasis on the visual aspects Nota de contenido: Mathematics, Art and Architecture -- Mathematics, Art and Architecture -- From Tiling the Plane to Paving Town Square -- Mathematics in Contemporary Arts — Finite and Infinity -- De Insana Geometria -- Ovals in Borromini’s Geometry -- Fractals: A Resonance between Art and Nature -- Mathland — From Topology to Virtual Architecture -- Visual Mathematics and Computer Graphics -- Introduction: Visual Mathematics and Computer Graphics -- Math Awareness Month 2000: An Interactive Experience -- Visual Topology and Variational Problems on Two-Dimensional Surfaces -- Metarealistic Rendering of Real-time Interactive Computer Animations -- Virtual Sculptures -- Publication of Electronic Geometry Models -- Trees, Roots and a Brain: A Metaphorical Foundation for Mathematical Art -- Mathematics, Literature and Cinema -- Mathematics, Literature and Cinema -- Euclid’s Poetics: An examination of the similarity between narrative and proof -- The Rise of Narrative Non-Fiction -- Mathematics Takes Center Stage -- Mathematics and Raymond Queneau En línea: http://dx.doi.org/10.1007/b137592 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35238 Ejemplares
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Título : Mathematics of Approximation Tipo de documento: documento electrónico Autores: Johan de Villiers ; SpringerLink (Online service) Editorial: Paris : Atlantis Press Fecha de publicación: 2012 Colección: Mathematics Textbooks for Science and Engineering num. 1 Número de páginas: XXI, 406 p Il.: online resource ISBN/ISSN/DL: 978-94-91216-50-3 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Approximation theory mathematics Applied Engineering Mathematics, general Computational and Numerical Analysis Approximations Expansions of Computing Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter Nota de contenido: Polynomial Interpolation Formulas -- Error Analysis For Polynomial Interpolation -- Polynomial Uniform Convergence -- Best Approximation -- Approximation Operators -- Best Uniform Polynomial Approximation -- Orthogonality -- Interpolatory Quadrature -- Approximation of Periodic Functions -- Spline Approximation En línea: http://dx.doi.org/10.2991/978-94-91216-50-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33065 Mathematics of Approximation [documento electrónico] / Johan de Villiers ; SpringerLink (Online service) . - Paris : Atlantis Press, 2012 . - XXI, 406 p : online resource. - (Mathematics Textbooks for Science and Engineering; 1) .
ISBN : 978-94-91216-50-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Approximation theory mathematics Applied Engineering Mathematics, general Computational and Numerical Analysis Approximations Expansions of Computing Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter Nota de contenido: Polynomial Interpolation Formulas -- Error Analysis For Polynomial Interpolation -- Polynomial Uniform Convergence -- Best Approximation -- Approximation Operators -- Best Uniform Polynomial Approximation -- Orthogonality -- Interpolatory Quadrature -- Approximation of Periodic Functions -- Spline Approximation En línea: http://dx.doi.org/10.2991/978-94-91216-50-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33065 Ejemplares
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Título : Mathknow : Mathematics, Applied Sciences and Real Life Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michele Emmer ; Alfio Quarteroni Editorial: Milano : Springer Milan Fecha de publicación: 2009 Colección: MS&A, ISSN 2037-5255 num. 3 Número de páginas: XI, 264 p Il.: online resource ISBN/ISSN/DL: 978-88-470-1122-9 Idioma : Inglés (eng) Palabras clave: Mathematics Architecture Applied mathematics Engineering Computer Mathematical models Applications of Mathematics, general Modeling and Industrial Computational Numerical Analysis Science Architecture, Clasificación: 51 Matemáticas Resumen: Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences Nota de contenido: The misuse of mathematics -- Mathematics and literature -- Applied partial differential equations: visualization by photography -- The spirit of algebra -- Theory and applications of Raptor codes -- Other geometries in architecture: bubbles, knots and minimal surfaces -- Soft matter: mathematical models of smart materials -- Soap films and soap bubbles: from Plateau to the olympic swimming pool in Beijing -- Games suggest how to define rational behavior. Surprising aspects of interactive decision theory -- Archaeoastronomy at Giza: the ancient Egyptians’ mathematical astronomy in action -- Mathematics and food: a tasty binomium -- Detecting structural complexity: from visiometrics to genomics and brain research -- Recreative mathematics: soldiers, eggs and a pirate crew -- Mathematical magic and society -- Little Tom Thumb among cells: seeking the cues of life -- Adam’s Pears -- Mathematics enters the picture -- Multi-physics models for bio-hybrid device simulation -- Stress detection: a sonic approach -- Vulnerability to climate change: mathematics as a language to clarify concepts En línea: http://dx.doi.org/10.1007/978-88-470-1122-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34128 Mathknow : Mathematics, Applied Sciences and Real Life [documento electrónico] / SpringerLink (Online service) ; Michele Emmer ; Alfio Quarteroni . - Milano : Springer Milan, 2009 . - XI, 264 p : online resource. - (MS&A, ISSN 2037-5255; 3) .
ISBN : 978-88-470-1122-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Architecture Applied mathematics Engineering Computer Mathematical models Applications of Mathematics, general Modeling and Industrial Computational Numerical Analysis Science Architecture, Clasificación: 51 Matemáticas Resumen: Mathematics forms bridges between knowledge, tradition, and contemporary life. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences Nota de contenido: The misuse of mathematics -- Mathematics and literature -- Applied partial differential equations: visualization by photography -- The spirit of algebra -- Theory and applications of Raptor codes -- Other geometries in architecture: bubbles, knots and minimal surfaces -- Soft matter: mathematical models of smart materials -- Soap films and soap bubbles: from Plateau to the olympic swimming pool in Beijing -- Games suggest how to define rational behavior. Surprising aspects of interactive decision theory -- Archaeoastronomy at Giza: the ancient Egyptians’ mathematical astronomy in action -- Mathematics and food: a tasty binomium -- Detecting structural complexity: from visiometrics to genomics and brain research -- Recreative mathematics: soldiers, eggs and a pirate crew -- Mathematical magic and society -- Little Tom Thumb among cells: seeking the cues of life -- Adam’s Pears -- Mathematics enters the picture -- Multi-physics models for bio-hybrid device simulation -- Stress detection: a sonic approach -- Vulnerability to climate change: mathematics as a language to clarify concepts En línea: http://dx.doi.org/10.1007/978-88-470-1122-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34128 Ejemplares
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Título : Medial Representations : Mathematics, Algorithms and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Siddiqi, Kaleem ; Stephen M. Pizer Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2008 Colección: Computational Imaging and Vision, ISSN 1381-6446 num. 37 Número de páginas: XVII, 439 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-8658-8 Idioma : Inglés (eng) Palabras clave: Mathematics Artificial intelligence Image processing Algorithms Computer mathematics Geometry Processing and Vision Intelligence (incl. Robotics) Computational Science Engineering Clasificación: 51 Matemáticas Resumen: The last half century has seen the development of many biological or physical theories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studied the properties of these skeletal descriptions of shape, and, stimulated by the many areas where medial models are useful, computer scientists and engineers have developed numerous algorithms for computing and using these models. We bring this knowledge and experience together into this book in order to make medial technology more widely understood and used. Edited by Prof. K. Siddiqi and Prof. S. Pizer, renowned experts in the field and authors of five of the chapters, this book consists of an introductory chapter, two chapters on the major mathematical results on medial representations, five chapters on algorithms for extracting medial models from boundary or binary image descriptions of objects, and three chapters on applications in image analysis and other areas of study and design. These chapters have been integrated and combined with a mathematics notation appendix and a detailed glossary, bibliography and index. This book will serve the science and engineering communities using medial models and will provide learning material for students entering this field Nota de contenido: Mathematics -- Local Forms and Transitions of the Medial Axis -- Geometry and Medial Structure -- Algorithms -- Skeletons via Shocks of Boundary Evolution -- Discrete Skeletons from Distance Transforms in 2D and 3D -- Voronoi Skeletons -- Voronoi Methods for 3D Medial Axis Approximation -- Synthesis, Deformation, and Statistics of 3D Objects via M-Reps -- Applications -- Statistical Applications with Deformable M-Reps -- 3D Model Retrieval Using Medial Surfaces -- From the Infinitely Large to the Infinitely Small En línea: http://dx.doi.org/10.1007/978-1-4020-8658-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34294 Medial Representations : Mathematics, Algorithms and Applications [documento electrónico] / SpringerLink (Online service) ; Siddiqi, Kaleem ; Stephen M. Pizer . - Dordrecht : Springer Netherlands, 2008 . - XVII, 439 p : online resource. - (Computational Imaging and Vision, ISSN 1381-6446; 37) .
ISBN : 978-1-4020-8658-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Artificial intelligence Image processing Algorithms Computer mathematics Geometry Processing and Vision Intelligence (incl. Robotics) Computational Science Engineering Clasificación: 51 Matemáticas Resumen: The last half century has seen the development of many biological or physical theories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studied the properties of these skeletal descriptions of shape, and, stimulated by the many areas where medial models are useful, computer scientists and engineers have developed numerous algorithms for computing and using these models. We bring this knowledge and experience together into this book in order to make medial technology more widely understood and used. Edited by Prof. K. Siddiqi and Prof. S. Pizer, renowned experts in the field and authors of five of the chapters, this book consists of an introductory chapter, two chapters on the major mathematical results on medial representations, five chapters on algorithms for extracting medial models from boundary or binary image descriptions of objects, and three chapters on applications in image analysis and other areas of study and design. These chapters have been integrated and combined with a mathematics notation appendix and a detailed glossary, bibliography and index. This book will serve the science and engineering communities using medial models and will provide learning material for students entering this field Nota de contenido: Mathematics -- Local Forms and Transitions of the Medial Axis -- Geometry and Medial Structure -- Algorithms -- Skeletons via Shocks of Boundary Evolution -- Discrete Skeletons from Distance Transforms in 2D and 3D -- Voronoi Skeletons -- Voronoi Methods for 3D Medial Axis Approximation -- Synthesis, Deformation, and Statistics of 3D Objects via M-Reps -- Applications -- Statistical Applications with Deformable M-Reps -- 3D Model Retrieval Using Medial Surfaces -- From the Infinitely Large to the Infinitely Small En línea: http://dx.doi.org/10.1007/978-1-4020-8658-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34294 Ejemplares
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Título : Mathematics and Technology Tipo de documento: documento electrónico Autores: Christiane Rousseau ; SpringerLink (Online service) ; Yvan Saint-Aubin Editorial: New York, NY : Springer New York Fecha de publicación: 2008 Colección: Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506 Número de páginas: XVI, 582 p. 214 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-69216-6 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Applied mathematics Engineering Game theory Mathematical models Probabilities Modeling and Industrial Appl.Mathematics/Computational Methods of Applications Science, general Probability Theory Stochastic Processes Theory, Economics, Social Behav. Sciences Clasificación: 51 Matemáticas Resumen: Mathematics and Technology presents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartography, image compression using fractals and the JPEG format, digital recording, robot movement, DNA computing, Google's PageRank algorithm, savings and loans, gamma ray surgery and random number generators. The authors highlight how mathematical modeling, together with the power of mathematical tools, have been crucial for innovation in technology. The exposition is clear, straightforward, motivated by excellent examples, and user-friendly. Numerous exercises at the end of every chapter reinforce the material. An engaging quality is the various historical notes accompanying the mathematical development. This book is intended mainly for undergraduate students in pure and applied mathematics, physics and computer science, instructors, and high school teachers. The main prerequisites are linear algebra and Euclidean geometry. A few chapters require multivariable calculus and elementary probability theory. A clear indication of the more difficult topics and relatively advanced references make it also suitable for an independent reader mastering the prerequisites Nota de contenido: Positioning on Earth and in Space -- Friezes and Mosaics -- Robotic Motion -- Skeletons and Gamma Ray Radiosurgery -- Savings and Loans -- Error Correcting Codes -- Public Key Cryptography -- Random Number Generators -- Google and the Page Rank Algorithm -- Why 44100 Samples per Second -- Image Compression Iterated Function Systems -- Image Compression The JPEG Standard -- The DNA Computer -- Calculus of Variations -- Science Flashes En línea: http://dx.doi.org/10.1007/978-0-387-69216-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34159 Mathematics and Technology [documento electrónico] / Christiane Rousseau ; SpringerLink (Online service) ; Yvan Saint-Aubin . - New York, NY : Springer New York, 2008 . - XVI, 582 p. 214 illus : online resource. - (Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506) .
ISBN : 978-0-387-69216-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Applied mathematics Engineering Game theory Mathematical models Probabilities Modeling and Industrial Appl.Mathematics/Computational Methods of Applications Science, general Probability Theory Stochastic Processes Theory, Economics, Social Behav. Sciences Clasificación: 51 Matemáticas Resumen: Mathematics and Technology presents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartography, image compression using fractals and the JPEG format, digital recording, robot movement, DNA computing, Google's PageRank algorithm, savings and loans, gamma ray surgery and random number generators. The authors highlight how mathematical modeling, together with the power of mathematical tools, have been crucial for innovation in technology. The exposition is clear, straightforward, motivated by excellent examples, and user-friendly. Numerous exercises at the end of every chapter reinforce the material. An engaging quality is the various historical notes accompanying the mathematical development. This book is intended mainly for undergraduate students in pure and applied mathematics, physics and computer science, instructors, and high school teachers. The main prerequisites are linear algebra and Euclidean geometry. A few chapters require multivariable calculus and elementary probability theory. A clear indication of the more difficult topics and relatively advanced references make it also suitable for an independent reader mastering the prerequisites Nota de contenido: Positioning on Earth and in Space -- Friezes and Mosaics -- Robotic Motion -- Skeletons and Gamma Ray Radiosurgery -- Savings and Loans -- Error Correcting Codes -- Public Key Cryptography -- Random Number Generators -- Google and the Page Rank Algorithm -- Why 44100 Samples per Second -- Image Compression Iterated Function Systems -- Image Compression The JPEG Standard -- The DNA Computer -- Calculus of Variations -- Science Flashes En línea: http://dx.doi.org/10.1007/978-0-387-69216-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34159 Ejemplares
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