Methods of Algebraic Geometry Volume 3 [Paperback]

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.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.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.In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods, such as valuation theory.Part I. Book 5: Birational Geometry: 15. Ideal theory of commutative rings; 16. The arithmetic theory of varieties; 17. Valuation theory; 18. Birational transformations.'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.' The 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