Computations In Algebraic Geometry With Macaulay 2 PDF Download
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Author | : David Eisenbud |
Publisher | : Springer Science & Business Media |
Total Pages | : 335 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662048515 |
Download Computations in Algebraic Geometry with Macaulay 2 Book in PDF, ePub and Kindle
This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.
Author | : David Eisenbud |
Publisher | : Springer Science & Business Media |
Total Pages | : 354 |
Release | : 2001-09-25 |
Genre | : Mathematics |
ISBN | : 9783540422303 |
Download Computations in Algebraic Geometry with Macaulay 2 Book in PDF, ePub and Kindle
This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.
Author | : Wolfram Decker |
Publisher | : Springer Science & Business Media |
Total Pages | : 331 |
Release | : 2006-03-02 |
Genre | : Mathematics |
ISBN | : 3540289925 |
Download Computing in Algebraic Geometry Book 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.
Author | : Hal Schenck |
Publisher | : Cambridge University Press |
Total Pages | : 212 |
Release | : 2003-10-06 |
Genre | : Computers |
ISBN | : 9780521536509 |
Download Computational Algebraic Geometry Book 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).
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 | : Wolfram Decker |
Publisher | : Cambridge University Press |
Total Pages | : 127 |
Release | : 2013-02-07 |
Genre | : Computers |
ISBN | : 1107612535 |
Download A First Course in Computational Algebraic Geometry Book in PDF, ePub and Kindle
A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
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 | : David Eisenbud |
Publisher | : Springer Science & Business Media |
Total Pages | : 265 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 0387226397 |
Download The Geometry of Schemes Book in PDF, ePub and Kindle
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Author | : Grigoriy Blekherman |
Publisher | : SIAM |
Total Pages | : 487 |
Release | : 2013-03-21 |
Genre | : Mathematics |
ISBN | : 1611972280 |
Download Semidefinite Optimization and Convex Algebraic Geometry Book in PDF, ePub and Kindle
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Author | : Bernd Sturmfels |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821832514 |
Download Solving Systems of Polynomial Equations Book in PDF, ePub and Kindle
Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.