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A Computational Introduction to Number Theory and Algebra
Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as …
Topics in Algebraic Graph Theory
The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and …
Introduction to K-Theory for C*-Algebras
Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area …
Algebraic Groups
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 …
Singularities and Computer Algebra
This volume surveys important topics in singularity theory, with a particular focus on computational aspects of the subject. The contributors to this volume include R. O. …
Double Affine Hecke Algebras
This is an essentially self-contained monograph in an intriguing field of fundamental importance for Representation Theory, Harmonic Analysis, Mathematical Physics, and …
Noncommutative Localization in Algebra and Topology
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally …
Group Cohomology and Algebraic Cycles
Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic …
Linear Algebra: Concepts and Methods
Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn …
Algebraic Automata Theory
This is a self-contained, modern treatment of the algebraic theory of machines. Dr Holcombe examines various applications of the idea of a machine in biology, biochemistry and …
A First Course of Homological Algebra
Based on a series of lectures given at Sheffield during 1971–72, this text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually …
Riemann Surfaces and Algebraic Curves
Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between …