Arithmétique, Algèbre

The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the q …

In this book the author takes a pedagogic approach to Algebraic K-theory. He tried to find the shortest route possible, with complete details, to arrive at the homotopy approach of Quillen [Q] to Alg …

It’s a sad truth that math has the reputation of being “difficult.” Part of the problem is that many of us simply don’t speak the language. To a mathematician, an equation is a compact, efficient way …

Challenging and fun problems on every topic in a typical Algebra II course Algebra II: 1001 Practice Problems For Dummies gives you 1, 001 opportunities to practice solving problems on all the major …

This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpoten …

This revised edition of A Decision Method for Elementary Algebra and Geometry presents the culmination of research begun in 1930, which laid foundational results in algebraic and geometric completene …

The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well …

This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the inte …

We propose here a study of ‘semiexact’ and ‘homological’ categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, wh …

Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links ex …