Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra
O'Shea, Donal, Cox, David A., Little, John
Language: English
Published by Springer, 2008
- Hardcover
- Used
Seller: Better World Books: West, Reno, NV, U.S.A.Better World Books: West
AbeBooks seller since March 14, 2016
Condition: Used - Very good
£ 18.93
Quantity: 1 available
Add to basketItem description from seller
Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
Seller Inventory # GRP82608096
- Title
- Ideals, Varieties, and Algorithms : An Introduction to Computational Algebraic Geometry and Commutative Algebra
- Author
- O'Shea, Donal, Cox, David A., Little, John
- Publisher
- Springer
- Publication year
- 2008
- Condition
- Very Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387356509
- ISBN 13
- 9780387356501
- Edition
- 3rd Edition
- Item weight
- 2.14 pounds
- Dimensions
- N/A
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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. Although the algorithmic roots of algebraic geometry are old, it is only in the last forty years that computational methods have regained their earlier prominence. New algorithms, coupled with the power of fast computers, have led to both theoretical advances and interesting applications, for example in robotics and in geometric theorem proving.
In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition ofIdeals, Varieties and Algorithms includes:
A significantly updated section on Maple in Appendix C
Updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR
A shorter proof of the Extension Theorem presented in Section 6 of Chapter 3
From the 2nd Edition:
"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
"About the title" may belong to another edition of this title.
Better World Books: West
Reno, NV, U.S.A.
AbeBooks seller since March 14, 2016
Shipping rates within U.S.A.
| Item | 4 to 8 business days | 3 to 5 business days |
|---|---|---|
| First item | £ 0.00 | £ 9.61 |
Payment methods
Store description
Better World Books is a for-profit, socially conscious business and a global online bookseller that collects and sells new and used books online, matching each purchase with a book donation. Each sale generates funds for literacy and education initiatives in the U.S., the UK, and around the world. Since its launch in 2003, Better World Books has raised over $35 million for libraries and literacy, donated over 38 million books, and reused or recycled more than 475 million books.
Seller's business information
Better World Books Marketplace, Inc.
55742 Currant Road
Mishawaka, IN U.S.A. 46545
Terms of sale
Better World Books (BWB) values your satisfaction and offers you returns within thirty (30) days after the estimated delivery date on most items. All returned items must be in the original condition; used items should include the SKU sticker located on the spine or back of the product.
If you have an incomplete, incorrect, or damaged shipment, please contact our Customer Care team via Abebooks contact seller options before proceeding with the return.Please keep in mind that because we deal mostly in used books, any extra components, such as CDs, DVDs, figurines, or access codes are not included.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Better World Books: West, Mishawaka, Indiana, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Please allow 1-2 business days for order fulfillment.