Computing In Algebraic Geometry PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Computing In Algebraic Geometry PDF full book. Access full book title Computing In Algebraic Geometry.
Author | : Wolfram Decker |
Publisher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2006-05-01 |
Genre | : Mathematics |
ISBN | : 3540289933 |
Download Computing in Algebraic Geometry Book in PDF, ePub and Kindle
This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way.
Author | : Wolfram Decker |
Publisher | : Cambridge University Press |
Total Pages | : 127 |
Release | : 2013-02-07 |
Genre | : Computers |
ISBN | : 1107612535 |
Download A First Course in Computational Algebraic Geometry Book in PDF, ePub and Kindle
A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
Author | : Hal Schenck |
Publisher | : Cambridge University Press |
Total Pages | : 212 |
Release | : 2003-10-06 |
Genre | : Computers |
ISBN | : 9780521536509 |
Download Computational Algebraic Geometry Book in PDF, ePub and Kindle
The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens wonderful new vistas and allows us to pose, study and solve problems that were previously out of reach. Suitable for graduate students, the objective of this 2003 book is to bring advanced algebra to life with lots of examples. The first chapters provide an introduction to commutative algebra and connections to geometry. The rest of the book focuses on three active areas of contemporary algebra: Homological Algebra (the snake lemma, long exact sequence inhomology, functors and derived functors (Tor and Ext), and double complexes); Algebraic Combinatorics and Algebraic Topology (simplicial complexes and simplicial homology, Stanley-Reisner rings, upper bound theorem and polytopes); and Algebraic Geometry (points and curves in projective space, Riemann-Roch, Cech cohomology, regularity).
Author | : Michael Joswig |
Publisher | : Springer Science & Business Media |
Total Pages | : 251 |
Release | : 2013-01-04 |
Genre | : Mathematics |
ISBN | : 1447148177 |
Download Polyhedral and Algebraic Methods in Computational Geometry Book in PDF, ePub and Kindle
Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.
Author | : Saugata Basu |
Publisher | : Springer Science & Business Media |
Total Pages | : 602 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662053551 |
Download Algorithms in Real Algebraic Geometry Book in PDF, ePub and Kindle
In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.
Author | : Svetlana Cojocaru |
Publisher | : IOS Press |
Total Pages | : 336 |
Release | : 2005 |
Genre | : Electronic books |
ISBN | : 1586035053 |
Download Computational Commutative and Non-commutative Algebraic Geometry Book in PDF, ePub and Kindle
Author | : Martin Kreuzer |
Publisher | : Springer Science & Business Media |
Total Pages | : 326 |
Release | : 2008-07-05 |
Genre | : Mathematics |
ISBN | : 3540706283 |
Download Computational Commutative Algebra 1 Book in PDF, ePub and Kindle
This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.
Author | : Gerald Sommer |
Publisher | : Springer Science & Business Media |
Total Pages | : 559 |
Release | : 2013-06-29 |
Genre | : Computers |
ISBN | : 3662046210 |
Download Geometric Computing with Clifford Algebras Book in PDF, ePub and Kindle
This monograph-like anthology introduces the concepts and framework of Clifford algebra. It provides a rich source of examples of how to work with this formalism. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work shows that Clifford algebra provides a universal and powerful algebraic framework for an elegant and coherent representation of various problems occurring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics.
Author | : Christian Perwass |
Publisher | : Springer Science & Business Media |
Total Pages | : 389 |
Release | : 2009-02-11 |
Genre | : Computers |
ISBN | : 3540890688 |
Download Geometric Algebra with Applications in Engineering Book in PDF, ePub and Kindle
The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation. Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.
Author | : Vladimir P. Gerdt |
Publisher | : Springer |
Total Pages | : 419 |
Release | : 2017-09-07 |
Genre | : Computers |
ISBN | : 3319663208 |
Download Computer Algebra in Scientific Computing Book in PDF, ePub and Kindle
This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.