Algebra

MATRIX is Australia's international, residential mathematical research institute.

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

Introduction to Algebra and Trigonometry provides a complete and self-contained presentation of the fundamentals of algebra and trigonometry.

This book contains 43 papers form among the 55 papers presented at the Sixth International Conference on Fibonacci Numbers and Their Applications which was held at Washington State University, Pullman, Washington, from July 18-22, 1994.

This revised edition of A Decision Method for Elementary Algebra and Geometry presents the culmination of research begun in 1930, which laid foundational results in algebraic and geometric completeness.

The aim of the book is to present new results in operator theory and its applications.

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields.

We deal in this work with quantitative results in the pointwise approximation of func- tions by positive linear functionals and operators.

This work offers a comprehensive account of skew fields and related mathematics.

Over the past 20 years, the theory of groups - in particular simple groups, finite and algebraic - has influenced a number of diverse areas of mathematics.

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception and in many details differs from the current literature on the subject.

This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds.

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.

This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the second of three volumes specifically focusing on algebra and its applications.

When we began to consider the scope of this book, we envisaged a catalogue supplying at least one abstract definition for any finitely- generated group that the reader might propose.

This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the- ory of linear representations of Lie groups.

Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G.

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions.

MATLAB: A Practical Introduction to Programming and Problem Solving, Second Edition, is the only book that gives a full introduction to programming in MATLAB combined with an explanation of MATLAB's powerful functions, enabling engineers to fully exploit the software's power to solve engineering problems.

"e;Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory.

This volume contains five review articles, three in the Al- gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter.

In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations.

The projectors are considered as simple but important type of matrices and operators.

The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups.

Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction.

This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations.

From April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P.

This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.

Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory.

This volume presents a set of models for the exceptional Lie algebras over algebraically closed fieldsof characteristic O and over the field of real numbers.

Comprehensive treatment of Bruhat–Tits theory for graduate students and researchers in number theory, representation theory, and algebraic geometry.

This volume presents a panorama of the diverse activities organized by V.

This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs.

This book provides a thorough but relaxed mathematical treatment of Lie algebras.

This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications.

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Ergodic theory of dynamical systems i.

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

This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications.

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries.

Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right.