Number Theory

Helmut Koch, Humboldt-University, Berlin, Germany

• Chapters; Chapter 1. Introduction; Chapter 2. The geometry of numbers; Chapter 3. Dedekind's theory of ideals; Chapter 4. Valuations; Chapter 5. Algebraic functions of one variable; Chapter 6. Normal extensions; Chapter 7. $L$-series; Chapter 8. Applications to Hecke $L$-series; Chapter 9. Quadratic number fields; Chapter 10. What next?; Appendix A. Divisibility theory; Appendix B. Trace, norm, different, and discriminant; Appendix C. Harmonic analysis on locally compact abelian groups

This book is very suitable for researchers and graduate students who are interested in basic algebraic number theory up to the beginning of class field theory."" - Mathematica Bohemica ""A significant amount of the material goes beyond what one would expect from an introductory text ... this book can be recommended to students of number theory for its rigour and emphasis on theory."" - European Mathematical Society Newsletter