Algebraic Number Theory

By Serge Lang

Cyclotomic Fields I and II

By Serge Lang, Karl Rubin

This book is a combined edition of the books previously published as Cyclotomic Fields, Vol. I and II. It continues to provide a basic introduction to the theory of these number fields, which are o...

Introduction to Arakelov Theory

By Serge Lang

Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring...

Calculus of Several Variables

By Serge Lang

This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient,...

Math Talks for Undergraduates

By Serge Lang

For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus. Written in a conve...

Number theory analysis and geometry

By Serge Lang, D. Goldfeld

Number theory, analysis and geometry

By Serge Lang, D. Goldfeld

Differential and Riemannian Manifolds

By Serge Lang

Introduction to Diophantine Approximations

By Serge Lang

The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and t...

Collected Papers V

By Serge Lang, Jay Jorgensen