Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group sche...(展开全部)

During the last 40 years the theory of finite groups has developed dramatically. The finite simple groups have been classified and are becoming better understood. Tools exist to reduce many questions about arbitrary finite groups to similar questions about simple groups. Since the classification there have been numerous applications of this theory in other branches of mathemati...(展开全部)

During the last 40 years the theory of finite groups has developed dramatically. The finite simple groups have been classified and are becoming better understood. Tools exist to reduce many questions about arbitrary finite groups to similar questions about simple groups. Since the classification there have been numerous applications of this theory in other branches of mathemati...(展开全部)

Theory of Type Design, by internationally renowned Dutch graphic designer and typographer Gerard Unger (born 1942), is the first complete and accessible theory of the breathtakingly varied field of typography. "Of all designed objects letters are probably the most pervasive," as Unger explains at the beginning of his study. "Very familiar yet amazingly diverse in their appearan...(展开全部)

Theory of Type Design, by internationally renowned Dutch graphic designer and typographer Gerard Unger (born 1942), is the first complete and accessible theory of the breathtakingly varied field of typography. "Of all designed objects letters are probably the most pervasive," as Unger explains at the beginning of his study. "Very familiar yet amazingly diverse in their appearan...(展开全部)

This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of ...(展开全部)

This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of ...(展开全部)

A co-publication of the AMS and the London Mathematical Society Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools in the theory of automorphic forms. The author looks at their...(展开全部)

A co-publication of the AMS and the London Mathematical Society Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools in the theory of automorphic forms. The author looks at their...(展开全部)

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge o...(展开全部)