CONTENTS ContentsofBasic Algebra x Preface xi List of Figures xv Dependence amongChapters xvi Guide forthe Reader xvii Notation and Terminology xxi I. TRANSITIONTO MODERNNUMBERTHEORY 1 1. Historical Background 1 2. Quadratic Reciprocity 8 3. Equival
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear form
This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay
Homological Algebra has grown in the nearly three decades since the first edition of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand– Manin, Methods of Homolo
In this paper, we study the 1-cohomology groups associated with the unitary irreducible representations of locally compact groups of isometries of regular trees.
John M. Lee三本经典中的第二本，主要讲光滑流形，是自学流形以及查阅资料绝佳选择，此版为2012新版，涵盖tangent and cotangent bundles，vector bundles, differential forms,tensors,De Rham Cohomology，Exponential Map，,流形的定向和流行上的微积分等。
Review I recommend the text to theoretical physicists and mathematicians who want to get exposed to a different presentation and applications of group theory. --Mathematical Reviews From the Inside Flap This book presents a survey of Topology and Di
Algebraic Topology（Allen Hatcher） Chapter 0. Some Underlying Geometric Notions Chapter 1. The Fundamental Group Chapter 2. Homology Chapter 3. Cohomology Chapter 4. Homotopy Theory
