1 Table of Contents: “...One Review of Basic Material -- I Numbers and Functions -- II Graphs and Curves -- Two...”

2 Table of Contents: “...One Basic Material -- I Vectors -- II Differentiation of Vectors -- III Functions of Several...”

3 “... text. For the third edition, the author has included new material on product structure for matrices...”

4 “... material on special functions, notably gamma and Bessel functions, and focuses on certain mathematical...”

5 “... subject in algebraic geometry and number theory. For this revised edition, the material on theta functions...”

6 “... level, or first-year graduate level. Somewhat more material has been included than can be covered...”

7 “... more material has been included than can be covered at leisure in one or two terms, to give...”

8 “... number of examples and exercises, as well as some material about integration on the real line (e.g...”

9 “... more material has been included than can be covered at leisure in one or two terms, to give...”

10 “... to research on modular forms. Most of the material, despite its importance, had previously been unavailable...”

11 “... of pages of background can be replaced by short direct verifications. The material becomes accessible...”

12 “..."This book contains essential material that every graduate student must know. Written with Serge...”

13 “... pedagogical virtues. The material included has been judiciously selected: some traditional items have been...”

14 “... and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which I make...”

15 “... be enough material for a second volume (this is not a threat). At the most basic level, the book gives...”

16 “... and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make...”