Topics In Algebraic Geometry And Geometric Modeling PDF Download
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Author | : Mohamed Elkadi |
Publisher | : Springer Science & Business Media |
Total Pages | : 252 |
Release | : 2006-11-02 |
Genre | : Mathematics |
ISBN | : 3540332758 |
Download Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
Author | : Ron Goldman |
Publisher | : American Mathematical Soc. |
Total Pages | : 378 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821834207 |
Download Topics in Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on Algebraic Geometry and Geometric Modeling'', which brought together some of the top experts in the two research communities to examine a wide range of topics of interest to both fields. This volume is an outgrowth of that workshop. Included are surveys, tutorials, and research papers. In addition, the editors have included a translation of Minding's 1841 paper, ''On the determination of the degree of an equations obtained by elimination'', which foreshadows the modern application of mixed volumes in algebraic geometry. The volume is suitable for mathematicians, computer scientists, and engineers interested in applications of algebraic geometry to geometric modeling.
Author | : Bert Jüttler |
Publisher | : Springer Science & Business Media |
Total Pages | : 227 |
Release | : 2007-12-24 |
Genre | : Mathematics |
ISBN | : 3540721851 |
Download Geometric Modeling and Algebraic Geometry Book in PDF, ePub and Kindle
Geometric Modeling and Algebraic Geometry, though closely related, are traditionally represented by two almost disjoint scientific communities. Both fields deal with objects defined by algebraic equations, but the objects are studied in different ways. In 12 chapters written by leading experts, this book presents recent results which rely on the interaction of both fields. Some of these results have been obtained from a major European project in geometric modeling.
Author | : Mohamed Elkadi |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2010-11-19 |
Genre | : Mathematics |
ISBN | : 9783642069932 |
Download Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
Author | : Max K. Agoston |
Publisher | : Springer Science & Business Media |
Total Pages | : 972 |
Release | : 2005-09-05 |
Genre | : Computers |
ISBN | : 1846281229 |
Download Computer Graphics and Geometric Modelling Book in PDF, ePub and Kindle
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. This volume begins with material from linear algebra and a discussion of the transformations in affine & projective geometry, followed by topics from advanced calculus & chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. Two important goals throughout were to explain the material thoroughly, and to make it self-contained. This volume by itself would make a good mathematics reference book, in particular for practitioners in the field of geometric modelling. Due to its broad coverage and emphasis on explanation it could be used as a text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic).
Author | : Edgar Martinez-Moro |
Publisher | : World Scientific |
Total Pages | : 334 |
Release | : 2013 |
Genre | : Computers |
ISBN | : 9814335754 |
Download Algebraic Geometry Modeling in Information Theory Book in PDF, ePub and Kindle
Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.
Author | : Elisabeth Bouscaren |
Publisher | : Springer |
Total Pages | : 223 |
Release | : 2009-03-14 |
Genre | : Mathematics |
ISBN | : 3540685219 |
Download Model Theory and Algebraic Geometry Book in PDF, ePub and Kindle
This introduction to the recent exciting developments in the applications of model theory to algebraic geometry, illustrated by E. Hrushovski's model-theoretic proof of the geometric Mordell-Lang Conjecture starts from very basic background and works up to the detailed exposition of Hrushovski's proof, explaining the necessary tools and results from stability theory on the way. The first chapter is an informal introduction to model theory itself, making the book accessible (with a little effort) to readers with no previous knowledge of model theory. The authors have collaborated closely to achieve a coherent and self- contained presentation, whereby the completeness of exposition of the chapters varies according to the existence of other good references, but comments and examples are always provided to give the reader some intuitive understanding of the subject.
Author | : Raffaele Amicis |
Publisher | : |
Total Pages | : 172 |
Release | : 2014-07-31 |
Genre | : |
ISBN | : 9781447164623 |
Download Future Vision and Trends on Shapes, Geometry and Algebra Book in PDF, ePub and Kindle
Author | : Max K. Agoston |
Publisher | : Springer Science & Business Media |
Total Pages | : 960 |
Release | : 2005-01-04 |
Genre | : Computers |
ISBN | : 9781852338183 |
Download Computer Graphics and Geometric Modelling Book in PDF, ePub and Kindle
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.
Author | : Yves Félix |
Publisher | : OUP Oxford |
Total Pages | : 488 |
Release | : 2008-03-13 |
Genre | : Mathematics |
ISBN | : 0191525693 |
Download Algebraic Models in Geometry Book in PDF, ePub and Kindle
Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kähler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.