Computational Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Algebraic Geometry write by Hal Schenck. This book was released on 2003-10-06. Computational Algebraic Geometry available 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).
A First Course in Computational Algebraic Geometry
A First Course in Computational Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Course in Computational Algebraic Geometry write by Wolfram Decker. This book was released on 2013-02-07. A First Course in Computational Algebraic Geometry available in PDF, EPUB and Kindle. A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
Ideals, Varieties, and Algorithms
Ideals, Varieties, and Algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ideals, Varieties, and Algorithms write by David Cox. This book was released on 2013-04-17. Ideals, Varieties, and Algorithms available in PDF, EPUB and Kindle. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. Contains a new section on Axiom and an update about MAPLE, Mathematica and REDUCE.
Polyhedral and Algebraic Methods in Computational Geometry
Polyhedral and Algebraic Methods in Computational Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polyhedral and Algebraic Methods in Computational Geometry write by Michael Joswig. This book was released on 2013-01-04. Polyhedral and Algebraic Methods in Computational Geometry available 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.
Computing in Algebraic Geometry
Computing in Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computing in Algebraic Geometry write by Wolfram Decker. This book was released on 2006-03-02. Computing in Algebraic Geometry available 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.
