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A BRIEF GUIDE TO ALGEBRAIC NUMBER THEORY

P. F. Swinnertondyer H.

Oprawa:
MIĘKKA

Wydawca:
Cambridge University Press

Data premiery:
2001-02-22

ISBN:
9780521004237

245,64 PLN
Wysyłamy w 35 dni

Opis produktu

Broad graduatelevel account of Algebraic Number Theory first published in 2001 including exercises by a worldrenowned author.A 2001 account of Algebraic Number Theory a field which has grown to touch many other areas of pure mathematics. Encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need. Many exercises and an annotated reading list are included.A 2001 account of Algebraic Number Theory a field which has grown to touch many other areas of pure mathematics. Encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need. Many exercises and an annotated reading list are included.This is a 2001 account of Algebraic Number Theory a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics and encompasses everything that most such students are likely to need: others who need the material will also find it accessible. It assumes no prior knowledge of the subject but a firm basis in the theory of field extensions at an undergraduate level is required and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory using ideals and valuations and includes material on the most usual kinds of algebraic number field the functional equation of the zeta function and a substantial digression on the classical approach to Fermats Last Theorem as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.Preface: 1. Numbers and ideals: 2. Valuations: 3. Special fields: 4. Analytic methods: 5. Class field theory: Appendix: Exercises: Suggested further reading. masterfully written. It has to be recommended to number theorists and more general to working algebraists. J. Schoissengeier Monatshefte fr Mathematik ideally suited for nonspecialists who would like to know quickly what algebraic number theory is about but who do not wish to study thick volumes dealing with that subject. Wladyslaw Narkiewicz Zentralblatt fr Mathematik very readable. It is suitable for graduate students or nonspecialists who wish to learn algebraic number theory. Gabor Megyesi Acta Sci. Math.It is written in a nice (but necessarily concise) style containing exercises to broaden the readers knowledge and skills. The result is a very solid introduction to the subject. EMSThe carefully chosen material is further accompanied by a large number of illustrative examples and exercises. Those features make the book an excellent guide for the reader who wants to find out what algebraic number theory is all about. Nieuw Archief voor Wiskunde

Data Publikacji: 2001-02-22
Wymiary: 228 mm 152 mm 11 mm 240 gr

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