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Ideals, Varieties, and Algorithms: An Introduction to

ISBN: , SKU: , AUTHOR: Cox, David / Little, John / O'Shea, Donal, PUBLISHER: Springer, 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 of Ideals, Varieties and Algorithms includes: A significantly updated ong>sectionong> 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 ong>Sectionong> 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

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The Path of the Buddha: Writings on Contemporary Buddhism

ISBN: , SKU: , AUTHOR: Singh, Renuka, PUBLISHER: Penguin Books, Giving Buddha's spiritual journey a contemporary dimension, this anthology contains essays by spiritual leaders like His Holiness the Dalai Lama, Lama Zopa Rinpoche and Lama Thubten Yeshe on the impact of Buddhist philosophy on them. Equally poignant are the accounts of others who, dissatisfied with the present world, embark on a search for salvation. Varied and meaningful, The Path of the Buddha provides a rare glimpse into Buddhism.

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A Faith Built on Sand

ISBN: , SKU: , AUTHOR: Sanders, Phil, PUBLISHER: Gospel Advocate Company, Is your faith built on the Rock or on Sand? Jesus' parable about two houses, one built on a rock and the other built on sand, has provided encouragement and warning for students of God's Word. In Phil Sanders' newest book, A Faith Built on Sand, he examines the dangers inherent in a faith that has no foundation more substantial than sand. Sanders confronts such current movements and positions as society's influence on Christianity, cultural morality, tolerance, the emerging church and synthetic Christianity. He explores the flaws evident in each of these when compared with God's inspired Word. He insists the only viable solution to this sand-based faith is finding your way back to the cross.

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ISBN: , SKU: , AUTHOR: Welvaert, Scott R., PUBLISHER: Bridgestone Books, - Full-color photographs - Table of contents, glossary, bibliography, index - Reinforced library binding - 24 pages, size: 8 1/8" x 8" - Learn about chapter introductions - Amazing Facts ong>sectionong> - www.FactHound.com Internet sites

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Bono on bono - LIBRO

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