A Brief guide to algebraic number theory
Author(s)
Bibliographic Information
A Brief guide to algebraic number theory
（London Mathematical Society student texts, 50）
Cambridge University Press, 2001
- : hbk
- : pbk
Available at / 58 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkSWI||2||201007926
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: hbk512.7/SW642070527496
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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 Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.
Table of Contents
- Preface
- 1. Numbers and ideals
- 2. Valuations
- 3. Special fields
- 4. Analytic methods
- 5. Class field theory
- Appendix
- Exercises
- Suggested further reading.
by "Nielsen BookData"
