Books in category Mathematics – Number Theory

Fundamentals of the Theory of Operator Algebras. V4
Fundamentals of the Theory of Operator Algebras. V4

An elegantly dramatized and illustrated dialog on the square root of two and the whole concept of irrational numbers.

Additive Number Theory The Classical Bases
This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include many "unnecessary" and "obvious" steps; this is by design.

A Concise Introduction to the Theory of Numbers
In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.

From the reviews: "This book gives a thorough introduction to several theories that are fundamental to research on modular forms.

An Introduction to Classical Complex Analysis
An Introduction to Classical Complex Analysis

This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics.

This book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein.

Subsequent chapters explore important topics such as: Use of Tashkinov trees to obtain an asymptotic positive solution to Goldberg's conjecture Application of Vizing fans to obtain both known and new results Kierstead paths as an …

Polynomials with Special Regard to Reducibility
This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields.