A Brief Guide to Algebraic Number Theory - H. P. F. Swinnerton-Dyer

A Brief Guide to Algebraic Number Theory

Buch | Softcover
160 Seiten
2001
Cambridge University Press (Verlag)
978-0-521-00423-7 (ISBN)
58,60 inkl. MwSt
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 Fermat's 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.

Erscheint lt. Verlag 22.2.2001
Reihe/Serie London Mathematical Society Student Texts
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 153 x 229 mm
Gewicht 240 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 0-521-00423-3 / 0521004233
ISBN-13 978-0-521-00423-7 / 9780521004237
Zustand Neuware
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