Algebra

This book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions.

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community.

This book provides numerous examples of linear and nonlinear model applications.

Groups and Symmetries: From Finite Groups to Lie Groups presents an introduction to the theory of group representations and its applications in quantum mechanics.

This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton's principle to continuous media.

This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS).

Teaching quantum computation and information is notoriously difficult, because it requires covering subjects from various fields of science, organizing these subjects consistently in a unified way despite their tendency to favor their specific languages, and overcoming the subjects' abstract and theoretical natures, which offer few examples of actual realizations.

This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers.

This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday.

Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory.

This research monograph develops the theory of relative nonhomogeneous Koszul duality.

This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances.

This book gives an overview of research on graphs associated with commutative rings.

This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia.

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas.

This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov's pivotal work in the 1980s.

This textbook invites students to discover abstract ideas in linear algebra within the context of applications.

This book comprises an overview of twelve months of intense activity of the research group Geometry, Topology, Algebra, and Applications (GEOMVAP) at the Universitat Politecnica de Catalunya (UPC).

This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture.

Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science.

This book provides an introduction to some key subjects in algebra and topology.

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brasov, Romania, from May 13th to 17th, 2019.

The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups.

This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new.

This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications.

The book provides the theoretical fundamentals on turbulence and a complete overview of turbulence models, from the simplest to the most advanced ones including Direct and Large Eddy Simulation.

This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology.

This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics.

This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years.

Mahler measure, a height function for polynomials, is the central theme of this book.

This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis.

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology.

This textbook offers an algorithmic introduction to the field of computer algebra.

This book is dedicated to the structure and combinatorics of classical Hopf algebras.

This volume is dedicated to Hiroakira Ono life's work on substructural logics.

This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8.

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

This book presents the latest findings on statistical inference in multivariate, multilinear and mixed linear models, providing a holistic presentation of the subject.

This textbook offers a rigorous presentation of mathematics before the advent of calculus.

This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs.

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry.

This book is dedicated to the work of Alasdair Urquhart.

This book consists of two parts.

This book carefully presents a unified treatment of equivariant Poincare duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere.

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This volume introduces some recent developments in Arithmetic Geometry over local fields.

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Grobner bases and degenerations, and applications of Adams operations.

Accessible to a variety of readers, this book is of interest to specialists, graduate students and researchers in mathematics, optimization, computer science, operations research, management science, engineering and other applied areas interested in solving optimization problems.