Ideals, Varieties, and Algorithms - Info and Reading Options
An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
By David A. Cox, David Cox, John Little and Donal O'Shea
"Ideals, Varieties, and Algorithms" is published by Springer in February 24, 2006 - New York, it has 556 pages and the language of the book is English.
“Ideals, Varieties, and Algorithms” Metadata:
- Title: ➤ Ideals, Varieties, and Algorithms
- Authors: David A. CoxDavid CoxJohn LittleDonal O'Shea
- Language: English
- Number of Pages: 556
- Publisher: Springer
- Publish Date: February 24, 2006
- Publish Location: New York
“Ideals, Varieties, and Algorithms” Subjects and Themes:
- Subjects: ➤ Algebraic Geometry - Commutative algebra - Data processing - Geometry, Algebraic - Algebra, data processing - Mathematics - Algebra - Computer software - Symbolic and mathematical Logic - Commutative Rings and Algebras - Mathematical Logic and Foundations - Mathematical Software - Geometry, algebraic--data processing - Commutative algebra--data processing - Logic, symbolic and mathematical - Qa564 .c688 2007 - Algebraic - Abstract - Logic - Mathematical & statistical software - Mathematics & statistics -> post-calculus -> geometry-junior level - Mathematics & statistics -> post-calculus -> abstract algebra - Mathematics & statistics -> post-calculus -> logic - Professional, career & trade -> computer science -> mathematical & statistical software - Scm11019 - Scm11043 - Scm24005 - Scm14042 - Suco11649 - 6291 - 4647 - 3778 - 6135 - Qa564 .c688 1991 - 516.3/5
Edition Identifiers:
- The Open Library ID: OL7448557M - OL1849157W
- Online Computer Library Center (OCLC) ID: 34547266
- Library of Congress Control Number (LCCN): 96008023
- ISBN-13: 9780387946801
- ISBN-10: 0387946802
- All ISBNs: 0387946802 - 9780387946801
AI-generated Review of “Ideals, Varieties, and Algorithms”:
Snippets and Summary:
This chapter will introduce some of the basic themes of the book.
"Ideals, Varieties, and Algorithms" Description:
The Open Library:
Algebraic geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. 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 algorithms to answer questions such as those posed above are an important part of algebraic geometry. This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960s. 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 led to some interesting applications - for example, in robotics and in geometric theorem proving.
Read “Ideals, Varieties, and Algorithms”:
Read “Ideals, Varieties, and Algorithms” by choosing from the options below.
Search for “Ideals, Varieties, and Algorithms” downloads:
Visit our Downloads Search page to see if downloads are available.
Find “Ideals, Varieties, and Algorithms” in Libraries Near You:
Read or borrow “Ideals, Varieties, and Algorithms” from your local library.
- The WorldCat Libraries Catalog: Find a copy of “Ideals, Varieties, and Algorithms” at a library near you.
Buy “Ideals, Varieties, and Algorithms” online:
Shop for “Ideals, Varieties, and Algorithms” on popular online marketplaces.
- Ebay: New and used books.
