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Título : Geometry : Our Cultural Heritage Tipo de documento: documento electrónico Autores: Audun Holme ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Número de páginas: XVII, 519 p Il.: online resource ISBN/ISSN/DL: 978-3-642-14441-7 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Geometry Physics Mathematics, general Theoretical, Mathematical and Computational Math Applications in Science Clasificación: 51 Matemáticas Resumen: This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. All too often the geometry which goes into the syllabus for these students presents the material in a pedantic and formalistic style, suppressing its dynamic character and its role as part of the foundation of our common cultural heritage. As such, one of my goals is to open up these aspects of the field; another is to extend an invitation to mathematics in general. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics are more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. Making a serious effort to heal these ills is an essential task. Thus the book also aims at an informed public, interested in making a new beginning in math.For the 2nd edition, some of the historical material giving historical context has been expanded and numerous illustrations have been added. The main difference is however the inclusion of a large number of exercises with some suggestions for solutions.For excerpts from reviews from the first edition have a look at http://www.springer.com/978-3-540-41949-5 Nota de contenido: Part I A Cultural Heritage: 1 Early Beginnings -- 2 The Great River Civilizations -- 3 Greek and Hellenic Geometry -- 4 Geometry in the Hellenistic Era -- 5 Arabic Mathematics and Geometry -- 6 The Geometry of Yesterday and Today -- 7 Geometry and the Real World -- Part II Introduction to Geometry: 8 Axiomatic Geometry -- 9 Axiomatic Projective Geometry -- 10 Models for Non-Euclidean Geometry -- 11 Making Things Precise -- 12 Projective Space -- 13 Geometry in the Affine and the Projective Plane -- 14 Algebraic Curves of Higher Degrees in the Affine Plane R2 -- 15 Higher Geometry in the Projective Plane -- 16 Sharpening the Sword of Algebra -- 17 Constructions with Straightedge and Compass -- 18 Fractal Geometry -- 19 Catastrophe Theory -- 20 General Polyhedra and Tesselations, and their Groups of Symmetry -- 21 Hints and Solutions to some of the Excercises -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-14441-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33771 Geometry : Our Cultural Heritage [documento electrónico] / Audun Holme ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XVII, 519 p : online resource.
ISBN : 978-3-642-14441-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Geometry Physics Mathematics, general Theoretical, Mathematical and Computational Math Applications in Science Clasificación: 51 Matemáticas Resumen: This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. All too often the geometry which goes into the syllabus for these students presents the material in a pedantic and formalistic style, suppressing its dynamic character and its role as part of the foundation of our common cultural heritage. As such, one of my goals is to open up these aspects of the field; another is to extend an invitation to mathematics in general. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics are more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. Making a serious effort to heal these ills is an essential task. Thus the book also aims at an informed public, interested in making a new beginning in math.For the 2nd edition, some of the historical material giving historical context has been expanded and numerous illustrations have been added. The main difference is however the inclusion of a large number of exercises with some suggestions for solutions.For excerpts from reviews from the first edition have a look at http://www.springer.com/978-3-540-41949-5 Nota de contenido: Part I A Cultural Heritage: 1 Early Beginnings -- 2 The Great River Civilizations -- 3 Greek and Hellenic Geometry -- 4 Geometry in the Hellenistic Era -- 5 Arabic Mathematics and Geometry -- 6 The Geometry of Yesterday and Today -- 7 Geometry and the Real World -- Part II Introduction to Geometry: 8 Axiomatic Geometry -- 9 Axiomatic Projective Geometry -- 10 Models for Non-Euclidean Geometry -- 11 Making Things Precise -- 12 Projective Space -- 13 Geometry in the Affine and the Projective Plane -- 14 Algebraic Curves of Higher Degrees in the Affine Plane R2 -- 15 Higher Geometry in the Projective Plane -- 16 Sharpening the Sword of Algebra -- 17 Constructions with Straightedge and Compass -- 18 Fractal Geometry -- 19 Catastrophe Theory -- 20 General Polyhedra and Tesselations, and their Groups of Symmetry -- 21 Hints and Solutions to some of the Excercises -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-14441-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33771 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Algebraic Geometry and Geometric Modeling / SpringerLink (Online service) ; Mohamed Elkadi ; Bernard Mourrain ; Ragni Piene (2006)
Título : Algebraic Geometry and Geometric Modeling Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Mohamed Elkadi ; Bernard Mourrain ; Ragni Piene Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Mathematics and Visualization, ISSN 1612-3786 Número de páginas: X, 252 p. 52 illus., 27 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-33275-6 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Algebraic geometry Mathematical models Applied mathematics Engineering Geometry Modeling and Industrial Math Applications in Science Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects Nota de contenido: Algebraic geometry and geometric modeling: insight and computation -- Implicitization using approximation complexes -- Piecewise approximate implicitization: experiments using industrial data -- Computing with parameterized varieties -- Implicitization and Distance Bounds -- Singularities and their deformations: how they change the shape and view of objects -- Overview of topological properties of real algebraic surfaces -- Illustrating the classification of real cubic surfaces -- Bézier patches on almost toric surfaces -- On parametric surfaces of low degree in P3(C) -- On the intersection with revolution and canal surfaces -- A sampling algorithm computing self-intersections of parametric surfaces -- Elimination in generically rigid 3D geometric constraint systems -- Minkowski decomposition of convex lattice polygons -- Reducing the number of variables of a polynomial En línea: http://dx.doi.org/10.1007/978-3-540-33275-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34957 Algebraic Geometry and Geometric Modeling [documento electrónico] / SpringerLink (Online service) ; Mohamed Elkadi ; Bernard Mourrain ; Ragni Piene . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - X, 252 p. 52 illus., 27 illus. in color : online resource. - (Mathematics and Visualization, ISSN 1612-3786) .
ISBN : 978-3-540-33275-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Algebraic geometry Mathematical models Applied mathematics Engineering Geometry Modeling and Industrial Math Applications in Science Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects Nota de contenido: Algebraic geometry and geometric modeling: insight and computation -- Implicitization using approximation complexes -- Piecewise approximate implicitization: experiments using industrial data -- Computing with parameterized varieties -- Implicitization and Distance Bounds -- Singularities and their deformations: how they change the shape and view of objects -- Overview of topological properties of real algebraic surfaces -- Illustrating the classification of real cubic surfaces -- Bézier patches on almost toric surfaces -- On parametric surfaces of low degree in P3(C) -- On the intersection with revolution and canal surfaces -- A sampling algorithm computing self-intersections of parametric surfaces -- Elimination in generically rigid 3D geometric constraint systems -- Minkowski decomposition of convex lattice polygons -- Reducing the number of variables of a polynomial En línea: http://dx.doi.org/10.1007/978-3-540-33275-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34957 Ejemplares
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Título : Mathematical Methodologies in Pattern Recognition and Machine Learning : Contributions from the International Conference on Pattern Recognition Applications and Methods, 2012 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Pedro Latorre Carmona ; J. Salvador Sánchez ; Ana L. N. Fred Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 num. 30 Número de páginas: VIII, 196 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-5076-4 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Pattern recognition System theory Mathematical optimization Systems Theory, Control Optimization Math Applications in Science Recognition Clasificación: 51 Matemáticas Resumen: This volume features key contributions from the International Conference on Pattern Recognition Applications and Methods, (ICPRAM 2012,) held in Vilamoura, Algarve, Portugal from February 6th-8th, 2012. The conference provided a major point of collaboration between researchers, engineers and practitioners in the areas of Pattern Recognition, both from theoretical and applied perspectives, with a focus on mathematical methodologies. Contributions describe applications of pattern recognition techniques to real-world problems, interdisciplinary research, and experimental and theoretical studies which yield new insights that provide key advances in the field. This book will be suitable for scientists and researchers in optimization, numerical methods, computer science, statistics and for differential geometers and mathematical physicists Nota de contenido: On order equivalences between distance and similarity measures on sequences and trees -- Scalable Corpus Annotation by Graph Construction and Label Propagation -- Computing the reeb graph for triangle meshes with active contours -- Efficient Computation of Voronoi Neighbors based on Polytope search in Pattern Recognition -- Estimation of the common oscillation for Phase Locked Matrix Factorization -- ASSET: Approximate Stochastic Subgradient Estimation Training for Support Vector Machines -- Pitch-sensitive Components emerge from Hierarchical Sparse Coding of Natural Sounds -- Generative Embeddings based on Rican Mixtures: Application to KernelBased Discriminative Classification of Magnetic Resonance Images.-Single-Frame Signal Recovery Using a Similarity-Prior Based on Pearson Type VII MRF -- Tracking solutions of time varying linear inverse problems -- Stacked Conditional Random Fields Exploiting Structural Consistencies -- Segmentation of Vessel Geometries from Medical Images using GPF Deformable Model -- Robust Deformable Model for Segmenting the Left Ventricle in 3D volumes of Ultrasound Data -- Algorithm to maintain linear element in 3D Level Set Topology Optimization -- Facial Expression recognition using Log-Euclidean statistical shape models En línea: http://dx.doi.org/10.1007/978-1-4614-5076-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32239 Mathematical Methodologies in Pattern Recognition and Machine Learning : Contributions from the International Conference on Pattern Recognition Applications and Methods, 2012 [documento electrónico] / SpringerLink (Online service) ; Pedro Latorre Carmona ; J. Salvador Sánchez ; Ana L. N. Fred . - New York, NY : Springer New York : Imprint: Springer, 2013 . - VIII, 196 p : online resource. - (Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009; 30) .
ISBN : 978-1-4614-5076-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Pattern recognition System theory Mathematical optimization Systems Theory, Control Optimization Math Applications in Science Recognition Clasificación: 51 Matemáticas Resumen: This volume features key contributions from the International Conference on Pattern Recognition Applications and Methods, (ICPRAM 2012,) held in Vilamoura, Algarve, Portugal from February 6th-8th, 2012. The conference provided a major point of collaboration between researchers, engineers and practitioners in the areas of Pattern Recognition, both from theoretical and applied perspectives, with a focus on mathematical methodologies. Contributions describe applications of pattern recognition techniques to real-world problems, interdisciplinary research, and experimental and theoretical studies which yield new insights that provide key advances in the field. This book will be suitable for scientists and researchers in optimization, numerical methods, computer science, statistics and for differential geometers and mathematical physicists Nota de contenido: On order equivalences between distance and similarity measures on sequences and trees -- Scalable Corpus Annotation by Graph Construction and Label Propagation -- Computing the reeb graph for triangle meshes with active contours -- Efficient Computation of Voronoi Neighbors based on Polytope search in Pattern Recognition -- Estimation of the common oscillation for Phase Locked Matrix Factorization -- ASSET: Approximate Stochastic Subgradient Estimation Training for Support Vector Machines -- Pitch-sensitive Components emerge from Hierarchical Sparse Coding of Natural Sounds -- Generative Embeddings based on Rican Mixtures: Application to KernelBased Discriminative Classification of Magnetic Resonance Images.-Single-Frame Signal Recovery Using a Similarity-Prior Based on Pearson Type VII MRF -- Tracking solutions of time varying linear inverse problems -- Stacked Conditional Random Fields Exploiting Structural Consistencies -- Segmentation of Vessel Geometries from Medical Images using GPF Deformable Model -- Robust Deformable Model for Segmenting the Left Ventricle in 3D volumes of Ultrasound Data -- Algorithm to maintain linear element in 3D Level Set Topology Optimization -- Facial Expression recognition using Log-Euclidean statistical shape models En línea: http://dx.doi.org/10.1007/978-1-4614-5076-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32239 Ejemplares
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Título : An Introduction to Modern Mathematical Computing : With Maple™ Tipo de documento: documento electrónico Autores: Jonathan M. Borwein ; SpringerLink (Online service) ; Matthew P. Skerritt Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506 Número de páginas: XVI, 216 p. 86 illus., 81 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-0122-3 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science simulation mathematics software Computational and Numerical Analysis Mathematical Software Simulation Modeling Math Applications in Science Clasificación: 51 Matemáticas Resumen: Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple™, Mathematica®, and Matlab®. An Introduction to Modern Mathematical Computing: With Maple™ looks beyond teaching the syntax and semantics of Maple and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an “experimental mathematician,” and will supply useful information about how to create better proofs. The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Maple program En línea: http://dx.doi.org/10.1007/978-1-4614-0122-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33214 An Introduction to Modern Mathematical Computing : With Maple™ [documento electrónico] / Jonathan M. Borwein ; SpringerLink (Online service) ; Matthew P. Skerritt . - New York, NY : Springer New York, 2011 . - XVI, 216 p. 86 illus., 81 illus. in color : online resource. - (Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506) .
ISBN : 978-1-4614-0122-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science simulation mathematics software Computational and Numerical Analysis Mathematical Software Simulation Modeling Math Applications in Science Clasificación: 51 Matemáticas Resumen: Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple™, Mathematica®, and Matlab®. An Introduction to Modern Mathematical Computing: With Maple™ looks beyond teaching the syntax and semantics of Maple and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an “experimental mathematician,” and will supply useful information about how to create better proofs. The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Maple program En línea: http://dx.doi.org/10.1007/978-1-4614-0122-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33214 Ejemplares
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Título : An Introduction to Modern Mathematical Computing : With Mathematica® Tipo de documento: documento electrónico Autores: Jonathan M. Borwein ; SpringerLink (Online service) ; Matthew P. Skerritt Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506 Número de páginas: XVI, 224 p. 95 illus., 91 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-4253-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science simulation mathematics software Computational and Numerical Analysis Mathematical Software Simulation Modeling Math Applications in Science Clasificación: 51 Matemáticas Resumen: Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple™, Mathematica®, and Matlab®. An Introduction to Modern Mathematical Computing: With Mathematica® looks beyond teaching the syntax and semantics of Mathematica and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an “experimental mathematician,” and will supply useful information about how to create better proofs. The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Mathematica program. Also by J.M. Borwein and M.B. Skerritt: An Introduction to Modern Mathematical Computing: With Maple™, © 2011, ISBN: 978-1-4614-0121-6, 216 p. and 81 color illustrations Nota de contenido: Preface -- Conventions and Notation -- 1. Number Theory -- 2. Calculus -- 3. Linear Algebra -- 4. Visualisation and Geometry: a Postscript -- Sample Quizzes -- Index -- References.- En línea: http://dx.doi.org/10.1007/978-1-4614-4253-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32841 An Introduction to Modern Mathematical Computing : With Mathematica® [documento electrónico] / Jonathan M. Borwein ; SpringerLink (Online service) ; Matthew P. Skerritt . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XVI, 224 p. 95 illus., 91 illus. in color : online resource. - (Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506) .
ISBN : 978-1-4614-4253-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science simulation mathematics software Computational and Numerical Analysis Mathematical Software Simulation Modeling Math Applications in Science Clasificación: 51 Matemáticas Resumen: Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple™, Mathematica®, and Matlab®. An Introduction to Modern Mathematical Computing: With Mathematica® looks beyond teaching the syntax and semantics of Mathematica and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an “experimental mathematician,” and will supply useful information about how to create better proofs. The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Mathematica program. Also by J.M. Borwein and M.B. Skerritt: An Introduction to Modern Mathematical Computing: With Maple™, © 2011, ISBN: 978-1-4614-0121-6, 216 p. and 81 color illustrations Nota de contenido: Preface -- Conventions and Notation -- 1. Number Theory -- 2. Calculus -- 3. Linear Algebra -- 4. Visualisation and Geometry: a Postscript -- Sample Quizzes -- Index -- References.- En línea: http://dx.doi.org/10.1007/978-1-4614-4253-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32841 Ejemplares
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