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.
| ISBN: | 9780821840757 |
| Publication date: | 30th April 2006 |
| Author: | Emil Artin |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 349 pages |
| Series: | Chelsea Publications |
| Genres: |
Algebra |
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.
Algebraic Numbers and Algebraic Functions features in the following genres: Algebra
Algebraic Numbers and Algebraic Functions is available in Hardback
Algebraic Numbers and Algebraic Functions was written by Emil Artin and published by American Mathematical Society
Algebraic Numbers and Algebraic Functions has 349 pages
Yes it is part of Chelsea Publications series