Synopsis
Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization. In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Lectures on Formally Real Fields (Lecture Notes in...
Stock Image
Lectures on Formally Real Fields (Lecture Notes in Mathematics)
Seller: HPB-Emerald, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_450728096
Seller Image
Lectures on Formally Real Fields
Published by
Springer-Verlag, New York, 1984
ISBN 10: 0387138854
ISBN 13: 9780387138855
Used
Paperback
Seller: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. New York: Springer-Verlag, 1984. xi, 125 pp. 24.5 x 16.5 cm. Stiff paper wrappers printed in yellow and black with black and white lettering. Slight crease to bottom corner of front cover. Light age toning to interior, which is clean and umarked. Binding sound with no creases or cracks. . Soft Cover. Very Good. Seller Inventory # 628815
Stock Image
Lectures on Formally Real Fields (Lecture Notes in Mathematics)
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-Y-025-00569
Buy Used
£ 29.56
Shipping:
£ 10.64
From United Kingdom to U.S.A.
Quantity: 1 available