{"product_id":"computations-in-algebraic-geometry-with-macaulay-2-9783540422303","title":"Computations in Algebraic Geometry with Macaulay 2","description":"\u003cp\u003e • Author(s): David Eisenbud\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Programming - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSystems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re- cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith- mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv- ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi- mental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems. A wide range of mathematical scientists should find these expositions valuable. This includes both the users of other programs similar to Macaulay 2 (for example, Singular and CoCoA) and those who are not interested in explicit machine computations at all.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45283822174359,"sku":"9783540422303","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540422303.webp?v=1769306006","url":"https:\/\/atlanticbooks.com\/products\/computations-in-algebraic-geometry-with-macaulay-2-9783540422303","provider":"Atlantic Books","version":"1.0","type":"link"}