Algebra

Rigorous yet engaging, Linear Algebra offers a unified treatment of both matrix-oriented and theoretical approaches to the course.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.

This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings.

This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings.

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

This second volume shows how factorization algebras arise from interacting field theories, both classical and quantum.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

This book introduces first order stability theory, organized around the spectrum problem, with complete proofs of the Vaught conjecture for ω-stable theories.

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.

This study of graded rings includes the first systematic account of graded Grothendieck groups.

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

This study of graded rings includes the first systematic account of graded Grothendieck groups.

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

This book provides an introduction to quantum probability, focusing on the notion of independence in quantum probability.

This monograph is a progressive introduction to non-commutativity in probability theory.

This monograph is a progressive introduction to non-commutativity in probability theory.

A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.

A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.

Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

Leading researchers survey the latest developments in group theory and many related areas.

Leading researchers survey the latest developments in group theory and many related areas.

Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations.

Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations.

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

A graduate-level introduction to finite classical groups featuring a comprehensive account of the conjugacy and geometry of elements of prime order.

This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

Covers extensions of Buchberger''s Theory and Algorithm, and promising recent alternatives to Gröbner bases.

Covers extensions of Buchberger''s Theory and Algorithm, and promising recent alternatives to Gröbner bases.

This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form.