Ideals Varieties And Algorithms PDF Download
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Author | : David Cox |
Publisher | : Springer Science & Business Media |
Total Pages | : 523 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 1475721811 |
Download Ideals, Varieties, and Algorithms Book 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.
Author | : David A. Cox |
Publisher | : Springer Science & Business Media |
Total Pages | : 513 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 1475769113 |
Download Using Algebraic Geometry Book in PDF, ePub and Kindle
An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.
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 | : David A Cox |
Publisher | : Springer Science & Business Media |
Total Pages | : 565 |
Release | : 2008-07-31 |
Genre | : Mathematics |
ISBN | : 0387356509 |
Download Ideals, Varieties, and Algorithms Book in PDF, ePub and Kindle
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 Eisenbud |
Publisher | : Springer Science & Business Media |
Total Pages | : 784 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461253500 |
Download Commutative Algebra Book in PDF, ePub and Kindle
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.
Author | : Martin Kreuzer |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2008-07-15 |
Genre | : Mathematics |
ISBN | : 354067733X |
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 | : David A. Cox |
Publisher | : |
Total Pages | : 551 |
Release | : 2007 |
Genre | : Commutative algebra |
ISBN | : 9787510058400 |
Download Ideals, Varieties, and Algorithms Book in PDF, ePub and Kindle
Author | : Franz Winkler |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3709165717 |
Download Polynomial Algorithms in Computer Algebra Book in PDF, ePub and Kindle
For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares. In the summers of 1990 and 1992 I have organized and taught summer schools in computer algebra at the Universitat Linz. Gradually a set of course notes has emerged from these activities. People have asked me for copies of the course notes, and different versions of them have been circulating for a few years. Finally I decided that I should really take the time to write the material up in a coherent way and make a book out of it. Here, now, is the result of this work. Over the years many students have been helpful in improving the quality of the notes, and also several colleagues at Linz and elsewhere have contributed to it. I want to thank them all for their effort, in particular I want to thank B. Buchberger, who taught me the theory of Grabner bases nearly two decades ago, B. F. Caviness and B. D. Saunders, who first stimulated my interest in various problems in computer algebra, G. E. Collins, who showed me how to compute in algebraic domains, and J. R. Sendra, with whom I started to apply computer algebra methods to problems in algebraic geometry. Several colleagues have suggested improvements in earlier versions of this book. However, I want to make it clear that I am responsible for all remaining mistakes.
Author | : David A. Cox |
Publisher | : American Mathematical Soc. |
Total Pages | : 874 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821848194 |
Download Toric Varieties Book in PDF, ePub and Kindle
Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry. Other topics covered include quotient constructions, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimal model program for toric varieties. The subject lends itself to rich examples reflected in the 134 illustrations included in the text. The book also explores connections with commutative algebra and polyhedral geometry, treating both polytopes and their unbounded cousins, polyhedra. There are appendices on the history of toric varieties and the computational tools available to investigate nontrivial examples in toric geometry. Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat lesser degree, complex analysis. In addition, the authors assume that the reader has had some previous experience with algebraic geometry at an advanced undergraduate level. The book will be a useful reference for graduate students and researchers who are interested in algebraic geometry, polyhedral geometry, and toric varieties.
Author | : David Eisenbud |
Publisher | : Springer |
Total Pages | : 346 |
Release | : 1999-07 |
Genre | : Mathematics |
ISBN | : |
Download Commutative Algebra, Algebraic Geometry, and Computational Methods Book in PDF, ePub and Kindle
This volume contains papers presented at the International Conference on Commutative Algebra, Algebraic geometry, and Computational methods held in Hanoi in 1996, as well as papers written subsequently. It features both expository articles as well as research papers on a range of currently active areas in commutative algebra, algebraic geometry (particularly surveys on intersection theory) and combinatorics. In addition, a special feature is a section on the life and work of Wolfgang Vogel, who was an organiser of the conference.