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Methods of Algebraic Geometry
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Table of Contents

Part I. Book 5: Birational Geometry: 15. Ideal theory of commutative rings; 16. The arithmetic theory of varieties; 17. Valuation theory; 18. Birational transformations.

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All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

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'This treatise ... is notable for its clarity of treatment and for the rigour of its demonstrations, and will repay careful study even in those parts which deal with matters generally considered familiar.' Nature 'The book is well set out, and is a pleasure to work through.' Times Literary Supplement 'Motivations are given. Examples of significant and useful varieties are numerous. All the algebra needed is given, and, what is more, these books tell how to translate geometry into algebra, and conversely.' Bulletin of the American Mathematical Society

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