Algebra

Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.

A comprehensive reference on the theory of variable-length codes and their relation to automata.

This book presents a coherent and unified account of classical and more advanced techniques for analyzing the performance of randomized algorithms.

A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum.

Unified introduction to algebra and geometry, emphasising links between the topics.

This is the second edition of the popular textbook on representation theory of finite groups.

A portrait of the subject of homological algebra as it exists today.

This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.

This modern, graduate-level textbook does not assume prior knowledge of representation theory.

An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.

A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum.

A comprehensive reference on the theory of variable-length codes and their relation to automata.

A self-contained introduction to the representation theory of the symmetric groups, including an exhaustive exposition of the Okounkov–Vershik approach.

This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.

A portrait of the subject of homological algebra as it exists today.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

A fresh undergraduate-accessible approach to Lie algebras and their representations.

A fresh undergraduate-accessible approach to Lie algebras and their representations.

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

This thorough, yet concise, treatment of all the key topics also gives students a sound understanding of the underlying theory.

The first book to develop from the basics, with full proofs, the cutting-edge of Group Theory: the growth of groups.

The various articles here unite all of the basics of the study of dessins d''enfants as well as the most recent advances.

This textbook is intended as a self contained introduction into that part of algebra known as representation of finite groups.

This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum.

The latest developments in representation theory with emphasis on the representation type of finite-dimensional algebras.

This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.

This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.

This book contains selected papers from the international conference ''Groups - St Andrews 1981'', held at the University of St Andrews in July/August 1981.

Covers all branches of number theory.

This book will be of interest to graduate students in pure mathematics and to professional mathematicians.

An important resource for all researchers with an interest in algebraic graph theory.

An accessible introduction to Poisson geometry suitable for graduate students.

This book explains vectors and tensors in plain language to give undergraduate and beginning graduate students a better understanding.

Discover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.

The basics of category theory beautifully explained with a wealth of exercises.

The first book to develop from the basics, with full proofs, the cutting-edge of Group Theory: the growth of groups.

Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.

This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises.

This book explains vectors and tensors in plain language to give undergraduate and beginning graduate students a better understanding.

The basics of category theory beautifully explained with a wealth of exercises.

An introduction to random matrix theory and its applications to real-world problems in signal processing and wireless communications.

An overview of different theories of motivic integration and their applications.

An overview of different theories of motivic integration and their applications.

The first detailed elementary introduction to (non-abelian) Galois cohomology.

Coverage includes foundational material as well as current research, authored by top specialists within their fields.

The first textbook on the subgroup structure, in particular maximal subgroups, for both algebraic and finite groups of Lie type.

Discover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.

A complement to standard books on commutative algebra providing complete and relatively easy proofs of important results.

An introduction to the behaviour of random matrices.