Algebra

Recent developments in theoretical physics include new instances of the unification of quite different phenomena.

Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017.

This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Grobner bases and related methods to differential and difference equations.

This book offers a self-contained guide to the theory and main applications of soft sets.

One of the landmarks in the history of mathematics is the proof of the nonex- tence of algorithms based solely on radicals and elementary arithmetic operations (addition, subtraction, multiplication, and division) for solutions of general al- braic equations of degrees higher than four.

This book discusses structure theory of an operator, topics on inner product spaces, and trace and determinant functions of a linear operator.

The book is a self-contained introduction to the results and methods in classical invariant theory.

Like its popular predecessors, this text develops ring theory first by drawing on students' familiarity with integers and polynomials.

The ideal study guide for success in Algebra II-with updated review and hundreds of practice questionsPractice makes perfect and this study guide gives you all the practice you need to gain mastery over Algebra II.

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis.

This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author's works and his joint works with his former students.

Linear algebra is one of the most basic foundations of a wide range of scientific domains, and most textbooks of linear algebra are written by mathematicians.

The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book.

For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; corrected all known errors; the reference section has been enlarged considerably, with over a hundred references to books on linear algebra.

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs.

This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings.

This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created.

liegenden mathematischen Konzepte eingegangen, als Basis für ganz praktische Algorithmen.

This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant.

The main purpose of these lectures is first to briefly survey the fundamental con- nection between the representation theory of the symmetric group Sn and the theory of symmetric functions and second to show how combinatorial methods that arise naturally in the theory of symmetric functions lead to efficient algorithms to express various prod- ucts of representations of Sn in terms of sums of irreducible representations.

This volume showcases mostly the contributions presented at the International Conference in Algebra and Its Applications held at the Aligarh Muslim University, Aligarh, India during November 12-14, 2016.

This book''s aim is to make accessible techniques for studying Whitehead groups of finite groups.

This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil.

The goal of this unique text is to provide an "e;experience"e; that would facilitate a better transition for mathematics majors to the advanced proof-based courses required for their major.

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

Algebraic specification, nondeterminism and term rewriting are three active research areas aiming at concepts for the abstract description of software systems: Algebraic specifications are well-suited for describing data structures and sequential software systems in an abstract way.

This book presents a graduate-level course on modern algebra.

"e;Integers"e; is a refereed online journal devoted to research in the area of combinatorial number theory.

No detailed description available for "e;Approximations Diophantiennes et Nombres Transcendants.

This book discusses group theoretical methods and their applications in physics, chemistry, and biology.

This textbook provides a first introduction to category theory, a powerful framework and tool for understanding mathematical structures.

The first modern, comprehensive introduction to central simple algebras for graduate students and researchers.

500 Ways to Achieve Your Best GradesWe want you to succeed on your college algebra and trigonometry midterm and final exams.

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices.

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

This proceedings volume documents the contributions presented at the CONIAPS XXVII International Conference on Recent Advances in Pure and Applied Algebra.

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations.

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates.

Two major subjects are treated in this book.