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Author : Mark Christopher Moelich
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)
Download or read book Introduction to Grobner Bases with Applications (MS). written by Mark Christopher Moelich and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bruno Buchberger
Publisher : Cambridge University Press
ISBN 13 : 9780521632980
Total Pages : 566 pages
Book Rating : 4.6/5 (329 download)
Download or read book Gröbner Bases and Applications written by Bruno Buchberger and published by Cambridge University Press. This book was released on 1998-02-26 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Author : William W. Adams and Philippe Loustaunau
Publisher : American Mathematical Soc.
ISBN 13 : 9780821872161
Total Pages : 308 pages
Book Rating : 4.8/5 (721 download)
Download or read book An Introduction to Grobner Bases written by William W. Adams and Philippe Loustaunau and published by American Mathematical Soc.. This book was released on 1994-07-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very carefully crafted introduction to the theory and some of the applications of Grobner bases ... contains a wealth of illustrative examples and a wide variety of useful exercises, the discussion is everywhere well-motivated, and further developments and important issues are well sign-posted ... has many solid virtues and is an ideal text for beginners in the subject ... certainly an excellent text. --Bulletin of the London Mathematical Society As the primary tool for doing explicit computations in polynomial rings in many variables, Grobner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Grobner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Grobner bases for polynomials with coefficients in a field, applications of Grobner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Grobner bases in modules, and the theory of Grobner bases for polynomials with coefficients in rings. With over 120 worked-out examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.
Author : Takayuki Hibi
Publisher : Springer Science & Business Media
ISBN 13 : 4431545743
Total Pages : 488 pages
Book Rating : 4.4/5 (315 download)
Download or read book Gröbner Bases written by Takayuki Hibi and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the Gröbner basis first appeared in a 1927 paper by F. S. Macaulay, who succeeded in creating a combinatorial characterization of the Hilbert functions of homogeneous ideals of the polynomial ring. Later, the modern definition of the Gröbner basis was independently introduced by Heisuke Hironaka in 1964 and Bruno Buchberger in 1965. However, after the discovery of the notion of the Gröbner basis by Hironaka and Buchberger, it was not actively pursued for 20 years. A breakthrough was made in the mid-1980s by David Bayer and Michael Stillman, who created the Macaulay computer algebra system with the help of the Gröbner basis. Since then, rapid development on the Gröbner basis has been achieved by many researchers, including Bernd Sturmfels. This book serves as a standard bible of the Gröbner basis, for which the harmony of theory, application, and computation are indispensable. It provides all the fundamentals for graduate students to learn the ABC’s of the Gröbner basis, requiring no special knowledge to understand those basic points. Starting from the introductory performance of the Gröbner basis (Chapter 1), a trip around mathematical software follows (Chapter 2). Then comes a deep discussion of how to compute the Gröbner basis (Chapter 3). These three chapters may be regarded as the first act of a mathematical play. The second act opens with topics on algebraic statistics (Chapter 4), a fascinating research area where the Gröbner basis of a toric ideal is a fundamental tool of the Markov chain Monte Carlo method. Moreover, the Gröbner basis of a toric ideal has had a great influence on the study of convex polytopes (Chapter 5). In addition, the Gröbner basis of the ring of differential operators gives effective algorithms on holonomic functions (Chapter 6). The third act (Chapter 7) is a collection of concrete examples and problems for Chapters 4, 5 and 6 emphasizing computation by using various software systems.
Author : Hyungju Park
Publisher : Walter de Gruyter
ISBN 13 : 311090974X
Total Pages : 261 pages
Book Rating : 4.1/5 (19 download)
Download or read book Gröbner Bases in Control Theory and Signal Processing written by Hyungju Park and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.
Author : Riham AlTawy
Publisher : Springer Nature
ISBN 13 : 3030992772
Total Pages : 512 pages
Book Rating : 4.0/5 (39 download)
Download or read book Selected Areas in Cryptography written by Riham AlTawy and published by Springer Nature. This book was released on 2022-03-26 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains revised selected papers from the 28th International Conference on Selected Areas in Cryptography, SAC 2021, held as a virtual event September and October 2021.* The 23 full papers presented in this volume were carefully reviewed and selected from 60 submissions. They cover the following research areas: design and analysis of symmetric key primitives and cryptosystems, including block and stream ciphers, hash functions, MAC algorithms, and authenticated encryption schemes, efficient implementations of symmetric and public key algorithms, mathematical and algorithmic aspects of applied cryptology, and secure elections and related cryptographic constructions. *The conference was originally planned to take place at the University of Victoria, BC, Canada. Due to the COVID-19 pandemic, it was held virtually.
Author : Yuen Fong
Publisher : Springer Science & Business Media
ISBN 13 : 940170337X
Total Pages : 268 pages
Book Rating : 4.4/5 (17 download)
Download or read book Proceedings of the Third International Algebra Conference written by Yuen Fong and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains one invited lecture which was presented by the 1994 Fields Medal ist Professor E. Zelmanov and twelve other papers which were presented at the Third International Conference on Algebra and Their Related Topics at Chang Jung Christian University, Tainan, Republic of China, during the period June 26-July 1, 200l. All papers in this volume have been refereed by an international referee board and we would like to express our deepest thanks to all the referees who were so helpful and punctual in submitting their reports. Thanks are also due to the Promotion and Research Center of National Science Council of Republic of China and the Chang Jung Christian University for their generous financial support of this conference. The spirit of this conference is a continuation of the last two International Tainan Moscow Algebra Workshop on Algebras and Their Related Topics which were held in the mid-90's of the last century. The purpose of this very conference was to give a clear picture of the recent development and research in the fields of different kinds of algebras both in Taiwan and in the rest ofthe world, especially say, Russia" Europe, North America and South America. Thus, we were hoping to enhance the possibility of future cooperation in research work among the algebraists ofthe five continents. Here we would like to point out that this algebra gathering will constantly be held in the future in the southern part of Taiwan.
Author : Jean Claude Bajard
Publisher : Springer Nature
ISBN 13 : 3030688690
Total Pages : 273 pages
Book Rating : 4.0/5 (36 download)
Download or read book Arithmetic of Finite Fields written by Jean Claude Bajard and published by Springer Nature. This book was released on 2021-02-16 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2020, held in Rennes, France in July 2020. Due to the COVID-19, the workshop was held online. The 12 revised full papers and 3 invited talks presented were carefully reviewed and selected from 22 submissions. The papers are organized in topical sections on invited talks, Finite Field Arithmetic, Coding Theory, Network Security and much more.
Author : David A. Cox Dinesh N. Manocha Bernd Sturmfels
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867587
Total Pages : 194 pages
Book Rating : 4.8/5 (675 download)
Download or read book Applications of Computational Algebraic Geometry written by David A. Cox Dinesh N. Manocha Bernd Sturmfels and published by American Mathematical Soc.. This book was released on with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenji Iohara
Publisher : Springer Nature
ISBN 13 : 3030264548
Total Pages : 375 pages
Book Rating : 4.0/5 (32 download)
Download or read book Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers written by Kenji Iohara and published by Springer Nature. This book was released on 2020-02-20 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.
Author : Teo Mora
Publisher : Cambridge University Press
ISBN 13 : 1316381382
Total Pages : 833 pages
Book Rating : 4.3/5 (163 download)
Download or read book Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond written by Teo Mora and published by Cambridge University Press. This book was released on 2016-04-01 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Author : Teo Mora
Publisher : Cambridge University Press
ISBN 13 : 1107109639
Total Pages : 833 pages
Book Rating : 4.1/5 (71 download)
Download or read book Solving Polynomial Equation Systems written by Teo Mora and published by Cambridge University Press. This book was released on 2003 with total page 833 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.
Author : Carlos Martín-Vide
Publisher : Springer
ISBN 13 : 3030134350
Total Pages : 470 pages
Book Rating : 4.0/5 (31 download)
Download or read book Language and Automata Theory and Applications written by Carlos Martín-Vide and published by Springer. This book was released on 2019-03-12 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Language and Automata Theory and Applications, LATA 2019, held in St. Petersburg, Russia, in March 2019. The 31 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 98 submissions. The papers cover the following topics: Automata; Complexity; Grammars; Languages; Graphs, trees and rewriting; and Words and codes.
Author : Alicia Dickenstein
Publisher : Springer Science & Business Media
ISBN 13 : 3540243267
Total Pages : 433 pages
Book Rating : 4.5/5 (42 download)
Download or read book Solving Polynomial Equations written by Alicia Dickenstein and published by Springer Science & Business Media. This book was released on 2005-04-27 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Howard Karloff
Publisher : SIAM
ISBN 13 : 9780898714104
Total Pages : 726 pages
Book Rating : 4.7/5 (141 download)
Download or read book Proceedings of the Ninth Annual ACM-SIAM Symposium on Discrete Algorithms written by Howard Karloff and published by SIAM. This book was released on 1998-01-01 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This symposium is jointly sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics.
Author : David A. Cox
Publisher : American Mathematical Soc.
ISBN 13 : 0821807501
Total Pages : 188 pages
Book Rating : 4.8/5 (218 download)
Download or read book Applications of Computational Algebraic Geometry written by David A. Cox and published by American Mathematical Soc.. This book was released on 1998 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that "crunching equations" is now as easy as "crunching numbers" has had a profound impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusually elegant and accessible, which makes the subject easy to learn and easy to apply. This book begins with an introduction to Gröbner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in this book assume no previous acquaintance with the material.
Author : Volker Diekert
Publisher : Springer
ISBN 13 : 3540745106
Total Pages : 431 pages
Book Rating : 4.5/5 (47 download)
Download or read book Computer Science - Theory and Applications written by Volker Diekert and published by Springer. This book was released on 2007-08-22 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features the refereed proceedings of the 2nd International Symposium on Computer Science in Russia held in September 2007. The 35 papers cover theory track deals with algorithms, protocols, and data structures; complexity and cryptography; formal languages, automata and their applications to computer science; computational models and concepts; proof theory; and applications of logic to computer science. Many applications are presented.
