Algebraic Numbers and Algebraic Functions (AMS Chelsea Publishing) - Hardcover

Artin, Emil

Hardcover

ISBN 10: 0821840754 ISBN 13: 9780821840757

Publisher: American Mathematical Society, 2006

Synopsis

Famous Norwegian mathematician Niels Henrik Abel advised that one should ""learn from the masters, not from the pupils"". When the subject is algebraic numbers and algebraic functions, there is no greater master than Emil Artin. In this classic text, originated from the notes of the course given at Princeton University in 1950-1951 and first published in 1967, one has a beautiful introduction to the subject accompanied by Artin's unique insights and perspectives. The exposition starts with the general theory of valuation fields in Part I, proceeds to the local class field theory in Part II, and then to the theory of function fields in one variable (including the Riemann-Roch theorem and its applications) in Part III. Prerequisites for reading the book are a standard first-year graduate course in algebra (including some Galois theory) and elementary notions of point set topology. With many examples, this book can be used by graduate students and all mathematicians learning number theory and related areas of algebraic geometry of curves.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2006
• Language: English
• ISBN 10: 0821840754
• ISBN 13: 9780821840757
• Binding: Hardcover