Special Issue on Effective Methods in Algebraic Geometry (MEGA 2005) PDF Download

Author: Alicia Dickenstein
Publisher:
ISBN:
Category :
Languages : en
Pages : 264

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Author: Daniel James Bates
Publisher: American Mathematical Soc.
ISBN: 0821847465
Category : Mathematics
Languages : en
Pages : 379

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This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.

Author: Lorenzo Robbiano
Publisher: Springer Science & Business Media
ISBN: 3211993142
Category : Mathematics
Languages : en
Pages : 237

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Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data deriving from physical measurements of phenomena in the real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra.

Author: T. Mora
Publisher: Birkhäuser
ISBN: 9781461267614
Category : Mathematics
Languages : en
Pages : 502

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The symposium "MEGA-90 - Effective Methods in Algebraic Geome try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol lowing: - Effective methods and complexity issues in commutative algebra, pro jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Author: Alicia Dickenstein
Publisher: Springer Science & Business Media
ISBN: 3540243267
Category : Computers
Languages : en
Pages : 433

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This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.

Author: Daniel J. Bernstein
Publisher: Springer
ISBN: 3642126782
Category : Computers
Languages : en
Pages : 448

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This book constitutes the proceedings of the Third International Conference on Cryptology in Africa, AFRICACRYPT 2010, held in Stellenbosch, South Africa, on May 3-6, 2010. The 25 papers presented together with three invited talks were carefully reviewed and selected from 82 submissions. The topics covered are signatures, attacks, protocols, networks, elliptic curves, side-channel attacks and fault attacks, public-key encryption, keys and PUFs, and ciphers and hash functions.

Author: Teofilo Gonzalez
Publisher: CRC Press
ISBN: 1439898529
Category : Mathematics
Languages : en
Pages : 2330

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Computing Handbook, Third Edition: Computer Science and Software Engineering mirrors the modern taxonomy of computer science and software engineering as described by the Association for Computing Machinery (ACM) and the IEEE Computer Society (IEEE-CS). Written by established leading experts and influential young researchers, the first volume of this popular handbook examines the elements involved in designing and implementing software, new areas in which computers are being used, and ways to solve computing problems. The book also explores our current understanding of software engineering and its effect on the practice of software development and the education of software professionals. Like the second volume, this first volume describes what occurs in research laboratories, educational institutions, and public and private organizations to advance the effective development and use of computers and computing in today’s world. Research-level survey articles provide deep insights into the computing discipline, enabling readers to understand the principles and practices that drive computing education, research, and development in the twenty-first century.

Author: Mika Seppälä
Publisher: American Mathematical Soc.
ISBN: 0821868691
Category : Mathematics
Languages : en
Pages : 242

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This volume contains the proceedings of three AMS Special Sessions on Computational Algebraic and Analytic Geometry for Low-Dimensional Varieties held January 8, 2007, in New Orleans, LA; January 6, 2009, in Washington, DC; and January 6, 2011, in New Orleans, LA. Algebraic, analytic, and geometric methods are used to study algebraic curves and Riemann surfaces from a variety of points of view. The object of the study is the same. The methods are different. The fact that a multitude of methods, stemming from very different mathematical cultures, can be used to study the same objects makes this area both fascinating and challenging.

Author: Jacob E. Goodman
Publisher: Cambridge University Press
ISBN: 9780521848626
Category : Computers
Languages : en
Pages : 640

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This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486134865
Category : Mathematics
Languages : en
Pages : 275

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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.