A Brief Introduction to Algebraic Number Theory [Paperback]

Jasbir S. Chahal (Author)

Book Description

Publication Date: 2006

vi+139 pp. The author presents a concise introduction to algebraic number theory suitable for a beginning graduate course. The book is based on lectures given at the University of Salzburg and Brigham Young University. Many exercises are incorporated into the text. As for prerequisites, the reader should be familiar with linear algebra, and some basic abstract algebra including Galois theory. The methods used are classical, along the lines of the work of Dedekind and Hilbert. The Minkowski geometry of numbers is developed and used as a tool. The author takes pains to show how modern commutative algebra and algebraic geometry originate in the subject matter of algebraic number theory. Students who decide to specialize in algebraic number theory will find the suggestions for further reading helpful. Algebraic number theory is one of the great accomplishments of pure mathematics. This was the view of David Hilbert and Hermann Weyl, for example. This brief introduction conveys the power and elegance of the subject, and tempts the reader to delve further into the literature. Chapter headings: 1. Basic Concepts. 2. Arithmetic in relative extensions. 3. Geometry of numbers. 4. Analytic methods. 5. Arithmetic in Galois extensions. 6. Cyclotomic fields. 7. The Kronecker- Weber theorem. 8. Zeta functions and Riemann hypothesis. Not available for international shipping through yahoo.com. Contact kendrickpress.com to purchase this book internationally.

Product Details

• Paperback
• Publisher: Kendrick Press; 1ST edition (2006)
• ISBN-10: 0974042749
• ISBN-13: 978-0974042749
• Amazon Best Sellers Rank: #4,941,143 in Books (See Top 100 in Books)