Saga Advances In Shapes Geometry And Algebra

Author : Tor Dokken,Georg Muntingh
Publisher : Springer
Page : 323 pages
File Size : 47,6 Mb
Release : 2014-10-24
Category : Mathematics
ISBN : 9783319086354

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SAGA – Advances in ShApes, Geometry, and Algebra by Tor Dokken,Georg Muntingh Pdf

This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms. Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing; algebraic geometry for computer aided design applications and problems with industrial applications. Readers will encounter new methods for the (approximate) transition between the implicit and parametric representation; new algebraic tools for geometric computing; new applications of isogeometric analysis and will gain insight into the emerging research field situated between algebraic geometry and computer aided geometric design.

Author : Tor Dokken,Georg Muntingh
Publisher : Unknown
Page : 340 pages
File Size : 42,8 Mb
Release : 2014-11-30
Category : Electronic
ISBN : 3319086367

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Saga - Advances in Shapes, Geometry, and Algebra by Tor Dokken,Georg Muntingh Pdf

Author : Raffaele de Amicis,Giuseppe Conti
Publisher : Springer
Page : 166 pages
File Size : 40,9 Mb
Release : 2014-06-13
Category : Mathematics
ISBN : 9781447164616

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Future Vision and Trends on Shapes, Geometry and Algebra by Raffaele de Amicis,Giuseppe Conti Pdf

Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework. Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly specialized to solve geometric problems – to seriously improve accuracy, robustness and efficiency of CAD-systems. It provides new approaches as well as industrial applications to deform surfaces when animating virtual characters, to automatically compare images of handwritten signatures and to improve control of NC machines. This book further introduces a noteworthy representation based on 2D contours, which is essential to model the metal sheet in industrial processes. It additionally reviews applications of numerical algebraic geometry to differential equations systems with multiple solutions and bifurcations. Future Vision and Trends on Shapes, Geometry and Algebra is aimed specialists in the area of mathematics and computer science on the one hand and on the other hand at those who want to become familiar with the practical application of algebraic geometry and geometric modelling such as students, researchers and doctorates.

Author : Luigi Cocchiarella
Publisher : Springer
Page : 2334 pages
File Size : 45,6 Mb
Release : 2018-07-06
Category : Technology & Engineering
ISBN : 9783319955889

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ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics by Luigi Cocchiarella Pdf

This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.

Author : Mathematical Association of America
Publisher : Cambridge University Press
Page : 572 pages
File Size : 49,8 Mb
Release : 2003-01-09
Category : Mathematics
ISBN : 0521531624

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The Changing Shape of Geometry by Mathematical Association of America Pdf

Collection of popular articles on geometry from distinguished mathematicians and educationalists.

Author : Shaun Bullett,T. Fearn,Frank T. Smith
Publisher : Unknown
Page : 128 pages
File Size : 46,9 Mb
Release : 2017
Category : MATHEMATICS
ISBN : 1786341085

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Geometry in Advanced Pure Mathematics by Shaun Bullett,T. Fearn,Frank T. Smith Pdf

"This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas."--Publisher's website.

Author : Springer
Publisher : Unknown
Page : 386 pages
File Size : 46,7 Mb
Release : 2012-10-27
Category : Electronic
ISBN : 0817683860

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New Foundations in Mathematics by Springer Pdf

Author : Jadran Lenarcic,Manfred Husty
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 40,6 Mb
Release : 2012-05-19
Category : Technology & Engineering
ISBN : 9789400746206

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Latest Advances in Robot Kinematics by Jadran Lenarcic,Manfred Husty Pdf

This book is of interest to researchers inquiring about modern topics and methods in the kinematics, control and design of robotic manipulators. It considers the full range of robotic systems, including serial, parallel and cable driven manipulators, both planar and spatial. The systems range from being less than fully mobile to kinematically redundant to overconstrained. In addition to recognized areas, this book also presents recent advances in emerging areas such as the design and control of humanoids and humanoid subsystems, and the analysis, modeling and simulation of human body motions, as well as the mobility analysis of protein molecules and the development of machines which incorporate man.

Author : Anonim
Publisher : Unknown
Page : 44 pages
File Size : 48,8 Mb
Release : 2012-06
Category : Research
ISBN : MINN:31951D03404792W

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Research EU. by Anonim Pdf

Author : Sadahiro Maeda,Yoshihiro Ohnita,Qing-Ming Cheng
Publisher : World Scientific
Page : 308 pages
File Size : 53,8 Mb
Release : 2013-10-23
Category : Mathematics
ISBN : 9789814566292

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Differential Geometry of Submanifolds and its Related Topics by Sadahiro Maeda,Yoshihiro Ohnita,Qing-Ming Cheng Pdf

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in the theory of real hypersurfaces in a non-flat complex space form. Contents:Homogeneous Submanifolds and Homogeneous Curves in Space Forms (S Maeda)Injectivity Property of Regular Curves and a Sphere Theorem (O Kobayashi)A Family of Complete Minimal Surfaces of Finite Total Curvature with Two Ends (S Fujimori and T Shoda)Minimal Surfaces in the Anti-De Sitter Spacetime (T Ichiyama and S Udagawa)Extrinsic Circular Trajectories on Geodesic Spheres in a Complex Projective Space (T Adachi)Geometry of Certain Lagrangian Submanifolds in Hermitian Symmetric Spaces (Y Ohnita)Some Real Hypersurfaces of Complex Projective Space (T Hamada)Contact Metric Hypersurfaces in Complex Space Forms (J T Cho and J Inoguchi)Non-Homogeneous η-Einstein Real Hypersurfaces in a 2-Dimensional Nonflat Complex Space Form (K Okumura)Sectional Curvatures of Ruled Real Hypersurfaces in a Nonflat Complex Space Form (H Tanabe and S Maeda)Totally Geodesic Köhler Immersions into a Complex Space Form, and a Non-Existence Theorem for Hessian Metrics of Positive Constant Hessian Sectional Curvature (T Noda and N Boumuki)Archimedean Theorems and W-Curves (D-S Kim and Y H Kim)On the Construction of Cohomogeneity One Special Lagrangian Submanifolds in the Cotangent Bundle of the Sphere (K Hashimoto)Self-Shrinkers of the Mean Curvature Flow (Q-M Cheng and Y Peng)Spectrum of Poly-Laplacian and Fractional Laplacian (L Zeng)Flat Centroaffine Surfaces with Non-Semisimple Tchebychev Operator (A Fujioka)The Total Absolute Curvature of Open Curves in EN (K Enomoto and J Itoh)Antipodal Sets of Compact Symmetric Spaces and the Intersection of Totally Geodesic Submanifolds (M S Tanaka)A Note on Symmetric Triad and Hermann Action (O Ikawa)Some Topics of Homogeneous Submanifolds in Complex Hyperbolic Spaces (T Hashinaga, A Kubo and H Tamaru)Austere Hypersurfaces in 5-Sphere and Real Hypersurfaces in Complex Projective Plane (J T Cho and M Kimura)On the Minimality of Normal Bundles in the Tangent Bundles Over the Complex Space Forms (T Kajigaya)Over-Determined Systems on Surfaces (N Ando) Readership: Researchers in differential geometry. Keywords:Minimal Surfaces;Morse Index;Real Hypersurfaces;Non-flat Complex Space Forms;Hopf Hypersurfaces;Symmetric Spaces;Homogeneous CurvesKey Features:Interesting papers on the theory of real hypersurfaces and the theory of minimal surfacesFeatures prominent contributors such as Y Ohnita, Q-M Cheng and O Kobayashi

Author : C. Mammana,V. Villani
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789401152266

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Perspectives on the Teaching of Geometry for the 21st Century by C. Mammana,V. Villani Pdf

In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

Author : Ioannis Z. Emiris,Frank Sottile,Thorsten Theobald
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 43,6 Mb
Release : 2009-10-28
Category : Mathematics
ISBN : 9781441909992

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Nonlinear Computational Geometry by Ioannis Z. Emiris,Frank Sottile,Thorsten Theobald Pdf

An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.

Author : Timothy Gowers
Publisher : Oxford Paperbacks
Page : 172 pages
File Size : 52,9 Mb
Release : 2002-08-22
Category : Mathematics
ISBN : 0192853619

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Mathematics: A Very Short Introduction by Timothy Gowers Pdf

The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.

Author : Robin Lovelace,Jakub Nowosad,Jannes Muenchow
Publisher : CRC Press
Page : 335 pages
File Size : 40,5 Mb
Release : 2019-03-22
Category : Mathematics
ISBN : 9781351396905

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Geocomputation with R by Robin Lovelace,Jakub Nowosad,Jannes Muenchow Pdf

Geocomputation with R is for people who want to analyze, visualize and model geographic data with open source software. It is based on R, a statistical programming language that has powerful data processing, visualization, and geospatial capabilities. The book equips you with the knowledge and skills to tackle a wide range of issues manifested in geographic data, including those with scientific, societal, and environmental implications. This book will interest people from many backgrounds, especially Geographic Information Systems (GIS) users interested in applying their domain-specific knowledge in a powerful open source language for data science, and R users interested in extending their skills to handle spatial data. The book is divided into three parts: (I) Foundations, aimed at getting you up-to-speed with geographic data in R, (II) extensions, which covers advanced techniques, and (III) applications to real-world problems. The chapters cover progressively more advanced topics, with early chapters providing strong foundations on which the later chapters build. Part I describes the nature of spatial datasets in R and methods for manipulating them. It also covers geographic data import/export and transforming coordinate reference systems. Part II represents methods that build on these foundations. It covers advanced map making (including web mapping), "bridges" to GIS, sharing reproducible code, and how to do cross-validation in the presence of spatial autocorrelation. Part III applies the knowledge gained to tackle real-world problems, including representing and modeling transport systems, finding optimal locations for stores or services, and ecological modeling. Exercises at the end of each chapter give you the skills needed to tackle a range of geospatial problems. Solutions for each chapter and supplementary materials providing extended examples are available at https://geocompr.github.io/geocompkg/articles/. Dr. Robin Lovelace is a University Academic Fellow at the University of Leeds, where he has taught R for geographic research over many years, with a focus on transport systems. Dr. Jakub Nowosad is an Assistant Professor in the Department of Geoinformation at the Adam Mickiewicz University in Poznan, where his focus is on the analysis of large datasets to understand environmental processes. Dr. Jannes Muenchow is a Postdoctoral Researcher in the GIScience Department at the University of Jena, where he develops and teaches a range of geographic methods, with a focus on ecological modeling, statistical geocomputing, and predictive mapping. All three are active developers and work on a number of R packages, including stplanr, sabre, and RQGIS.

Author : Hans Dierckx,Flavio H. Fenton,Simonetta Filippi,Alain Pumir,S. Sridhar
Publisher : Frontiers Media SA
Page : 276 pages
File Size : 42,7 Mb
Release : 2019-10-04
Category : Electronic
ISBN : 9782889630677

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Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level by Hans Dierckx,Flavio H. Fenton,Simonetta Filippi,Alain Pumir,S. Sridhar Pdf