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Author : Jeffrey Abraham Mermin
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.E/5 ( download)
Download or read book Lexicographic Ideals written by Jeffrey Abraham Mermin and published by . This book was released on 2006 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David A Cox
Publisher : Springer Science & Business Media
ISBN 13 : 0387356509
Total Pages : 565 pages
Book Rating : 4.3/5 (873 download)
Download or read book Ideals, Varieties, and Algorithms written by David A Cox and published by Springer Science & Business Media. This book was released on 2008-07-31 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.
Author : David Cox
Publisher : Springer Science & Business Media
ISBN 13 : 1475726937
Total Pages : 549 pages
Book Rating : 4.4/5 (757 download)
Download or read book Ideals, Varieties, and Algorithms written by David Cox and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The book bases its discussion of algorithms on a generalisation of the division algorithm for polynomials in one variable that was only discovered in the 1960's. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have let to some interesting applications, for example in robotics and in geometric theorem proving. In preparing this new edition, the authors present an improved proof of the Buchberger Criterion as well as a proof of Bezout's Theorem.
Author : Jan Snellman
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (258 download)
Download or read book Reverse Lexicographic Initial Ideals of Generic Ideals are Finitely Generated written by Jan Snellman and published by . This book was released on 1996 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alyson A. Reeves
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.E/5 ( download)
Download or read book The Lexicographic Order Isn't Necessarily the Worst written by Alyson A. Reeves and published by . This book was released on 1991 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viviana Ene
Publisher : American Mathematical Soc.
ISBN 13 : 0821847589
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)
Download or read book Combinatorial Aspects of Commutative Algebra written by Viviana Ene and published by American Mathematical Soc.. This book was released on 2009-11-25 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Exploratory Workshop on Combinatorial Commutative Algebra and Computer Algebra, which took place in Mangalia, Romania on May 29-31, 2008. It includes research papers and surveys reflecting some of the current trends in the development of combinatorial commutative algebra and related fields. This volume focuses on the presentation of the newest research results in minimal resolutions of polynomial ideals (combinatorial techniques and applications), Stanley-Reisner theory and Alexander duality, and applications of commutative algebra and of combinatorial and computational techniques in algebraic geometry and topology. Both the algebraic and combinatorial perspectives are well represented and some open problems in the above directions have been included.
Author : S.K. Jain
Publisher : Springer Science & Business Media
ISBN 13 : 1461219787
Total Pages : 330 pages
Book Rating : 4.4/5 (612 download)
Download or read book Advances in Ring Theory written by S.K. Jain and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 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 : Gunnar Fløystad
Publisher : American Mathematical Soc.
ISBN 13 : 0821808532
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Initial Ideals of Homogeneous Ideals written by Gunnar Fløystad and published by American Mathematical Soc.. This book was released on 1998 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a homogeneous ideal I and a monomial order, the initials ideal in (I) can be formed. The initial idea gives information about I, but quite a lot of information is also lost. The author remedies this by defining a series of higher initial ideals of a homogenous ideal, and considers the case when I is the homogenous ideal of a curve in P3 and the monomial order is reverse lexicographic. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Jurgen Herzog
Publisher : CRC Press
ISBN 13 : 9780203908013
Total Pages : 424 pages
Book Rating : 4.9/5 (8 download)
Download or read book Geometric And Combinatorial Aspects Of Commutative Algebra written by Jurgen Herzog and published by CRC Press. This book was released on 2001-03-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on the lectures presented at the International Conference of Commutative Algebra and Algebraic Geometry held in Messina, Italy. It discusses developments and advances in commutative algebra, algebraic geometry, and combinatorics - highlighting the theory of projective schemes, the geometry of curves, determinantal and stable idea
Author : Jürgen Herzog
Publisher : Springer Science & Business Media
ISBN 13 : 0857291068
Total Pages : 311 pages
Book Rating : 4.8/5 (572 download)
Download or read book Monomial Ideals written by Jürgen Herzog and published by Springer Science & Business Media. This book was released on 2010-09-28 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing a valuable overview of some of the central trends in algebraic combinatorics. Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text. Self-contained and concise, this book will appeal to a wide range of readers, including PhD students on advanced courses, experienced researchers, and combinatorialists and non-specialists with a basic knowledge of commutative algebra. Since their first meeting in 1985, Juergen Herzog (Universität Duisburg-Essen, Germany) and Takayuki Hibi (Osaka University, Japan), have worked together on a number of research projects, of which recent results are presented in this monograph.
Author : Irena Peeva
Publisher : CRC Press
ISBN 13 : 1420050915
Total Pages : 305 pages
Book Rating : 4.4/5 (2 download)
Download or read book Syzygies and Hilbert Functions written by Irena Peeva and published by CRC Press. This book was released on 2007-03-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.
Author : Mikhail J. Atallah
Publisher : CRC Press
ISBN 13 : 9781420049503
Total Pages : 1328 pages
Book Rating : 4.0/5 (495 download)
Download or read book Algorithms and Theory of Computation Handbook written by Mikhail J. Atallah and published by CRC Press. This book was released on 1998-11-23 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing
Author : Ruyong Feng
Publisher : Springer
ISBN 13 : 3662437996
Total Pages : 498 pages
Book Rating : 4.6/5 (624 download)
Download or read book Computer Mathematics written by Ruyong Feng and published by Springer. This book was released on 2014-09-30 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers original research and the latest advances in symbolic, algebraic and geometric computation; computational methods for differential and difference equations, symbolic-numerical computation; mathematics software design and implementation; and scientific and engineering applications based on features, invited talks, special sessions and contributed papers presented at the 9th (in Fukuoka, Japan in 2009) and 10th (in Beijing China in 2012) Asian Symposium on Computer Mathematics (ASCM). Thirty selected and refereed articles in the book present the conference participants’ ideas and views on researching mathematics using computers.
Author : Ihsen Yengui
Publisher : Springer
ISBN 13 : 3319194941
Total Pages : 277 pages
Book Rating : 4.3/5 (191 download)
Download or read book Constructive Commutative Algebra written by Ihsen Yengui and published by Springer. This book was released on 2015-12-11 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring. Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gröbner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented. Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.
Author : Peter M. Schuster
Publisher : Springer Nature
ISBN 13 : 3030302296
Total Pages : 391 pages
Book Rating : 4.0/5 (33 download)
Download or read book Well-Quasi Orders in Computation, Logic, Language and Reasoning written by Peter M. Schuster and published by Springer Nature. This book was released on 2020-01-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.
Author : David Eisenbud
Publisher : Springer Science & Business Media
ISBN 13 : 1461253500
Total Pages : 784 pages
Book Rating : 4.4/5 (612 download)
Download or read book Commutative Algebra written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
