Local Fields (London Mathematical Society Student Texts v. 3)

Local Fields (London Mathematical Society Student Texts v. 3)

By: J. W. S. Cassels (author), J. Bruce (series_editor)Paperback

4 - 6 days availability

£47.94 RRP £51.00  You save £3.06 (6%) With FREE Saver Delivery


The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students.

Create a review


Preface; Leitfaden; Notational conventions; 1. Introduction; 2. General properties; 3. Archimedean valuations; 4. Non archimedean valuations; 5. Embedding theorem; 6. Transcendental extensions; 7. Algebraic extensions; 8. p-adic fields; 9. Algebraic extensions; 10. Algebraic number fields; 11. Diophantine equations; 12. Advanced analysis; 13. A theorem of Borel and work; Appendices; References; Index.

Product Details

  • publication date: 21/08/1986
  • ISBN13: 9780521315258
  • Format: Paperback
  • Number Of Pages: 376
  • ID: 9780521315258
  • weight: 550
  • ISBN10: 0521315255

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly