Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (4th Softcover Reprint of the Original 4th 2015 edition)
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry-the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz-this new edition incorporates several substantial changes, all ...
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This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry-the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz-this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gr�bner bases. The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D). The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate levelcourses in algebraic geometry or computational algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system. Appendix C describes features of MapleTM, Mathematica� and Sage, as well as other systems that are most relevant to the text. Pseudocode is used in the text; Appendix B carefully describes the pseudocode used. Readers who are teaching from Ideals, Varieties, and Algorithms, or are studying the book on their own, may obtain a copy of the solutions manual by sending an email to jlittle@holycross.edu. From the reviews of previous editions: "...The book gives an introduction to Buchberger's algorithm with applications to syzygies, Hilbert polynomials, primary decompositions. There is an introduction to classical algebraic geometry with applications to the ideal membership problem, solving polynomial equations and elimination theory. ...The book is well-written. ...The reviewer is sure that it will be an excellent guide to introduce further undergraduates in the algorithmic aspect of commutative algebra and algebraic geometry." -Peter Schenzel, zbMATH, 2007 "I consider the book to be wonderful. ... The exposition is very clear, there are many helpful pictures and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry." -The American Mathematical Monthly
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Add this copy of Ideals, Varieties, and Algorithms: An Introduction to to cart. $54.56, like new condition, Sold by GreatBookPricesUK5 rated 4.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2016 by Springer.
Edition:
4th Softcover Reprint of the Original 4th 2015 edition
Publisher:
Springer
Published:
2016
Language:
English
Alibris ID:
18195382770
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Fine. Trade paperback (US). Glued binding. 646 p. Contains: Illustrations, black & white, Illustrations, color. Undergraduate Texts in Mathematics. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Ideals, Varieties, and Algorithms: An Introduction to to cart. $54.56, good condition, Sold by GreatBookPricesUK5 rated 4.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2016 by Springer.
Edition:
4th Softcover Reprint of the Original 4th 2015 edition
Publisher:
Springer
Published:
2016
Language:
English
Alibris ID:
18221251730
Shipping Options:
Standard Shipping: $4.71
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Good. Trade paperback (US). Glued binding. 646 p. Contains: Illustrations, black & white, Illustrations, color. Undergraduate Texts in Mathematics. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers.
Add this copy of Ideals, Varieties, and Algorithms: An Introduction to to cart. $106.31, new condition, Sold by GreatBookPricesUK5 rated 4.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2016 by Springer.
Edition:
4th Softcover Reprint of the Original 4th 2015 edition
Publisher:
Springer
Published:
2016
Language:
English
Alibris ID:
18195470217
Shipping Options:
Standard Shipping: $4.71
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New. Trade paperback (US). Glued binding. 646 p. Contains: Illustrations, black & white, Illustrations, color. Undergraduate Texts in Mathematics. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Ideals, Varieties, and Algorithms: an Introduction to to cart. $50.07, good condition, Sold by SurplusTextSeller rated 5.0 out of 5 stars, ships from Columbia, MO, UNITED STATES, published 2016 by Springer.
Edition:
4th Softcover Reprint of the Original 4th 2015 edition
Publisher:
Springer
Published:
2016
Language:
English
Alibris ID:
18121925734
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Add this copy of Ideals, Varieties, and Algorithms: an Introduction to to cart. $50.50, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2016 by Springer.
Edition:
4th Softcover Reprint of the Original 4th 2015 edition
Publisher:
Springer
Published:
2016
Language:
English
Alibris ID:
18163569690
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Add this copy of Ideals, Varieties, and Algorithms: An Introduction to to cart. $50.06, good condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2016 by Springer.
Edition:
4th Softcover Reprint of the Original 4th 2015 edition
Publisher:
Springer
Published:
2016
Language:
English
Alibris ID:
18256024633
Shipping Options:
Standard Shipping: $4.71
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Seller's Description:
Good. Trade paperback (US). Glued binding. 646 p. Contains: Illustrations, black & white, Illustrations, color. Undergraduate Texts in Mathematics. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers.
