Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Paperback)
暫譯: 理想、變數與演算法：計算代數幾何與交換代數導論（平裝本）
David A. Cox
- 出版商: Springer
- 出版日期: 2010-11-25
- 售價: $2,490
- 貴賓價: 9.5 折 $2,366
- 語言: 英文
- 頁數: 568
- 裝訂: Paperback
- ISBN: 1441922571
- ISBN-13: 9781441922571
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相關分類:
Algorithms-data-structures
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相關主題
商品描述
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.
商品描述(中文翻譯)
本書詳細介紹了現代交換代數幾何的核心內容。涵蓋的主題包括希爾伯特基礎定理（Hilbert Basis Theorem）、零點定理（Nullstellensatz）、不變理論（invariant theory）、射影幾何（projective geometry）和維度理論（dimension theory）。除了增強第二版的文本外，第三版《理想、代數簇與演算法》（Ideals, Varieties and Algorithms）還包含了超過200頁的內容，反映了為了增強清晰度和正確性所做的變更；此外，還包括對Maple的顯著更新部分；更新了有關AXIOM、CoCoA、Macaulay 2、Magma、Mathematica和SINGULAR的信息；並提供了擴展定理（Extension Theorem）的一個更簡短的證明。
