Algebra

This third volume of four describes all the most important techniques, mainly based on Gröbner bases.

The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research.

This volume contains a selection of papers presented at the 1991 Conrad Conference, held in Gainesville, Florida, USA, in December, 1991.

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

The Wigner Symposia deal with the most recent developments in those mathematical areas which were introduced to physics by E P Wigner, and also with related fields.

The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences.

This work is a concise introduction to spectral theory of Hilbert space operators.

Dieses Lehrbuch bietet einen modernen Zugang zur Theorie der endlichen Gruppen.

Diese ganz neuartig konzipierte Einführung in die Lineare Algebra für Studierende der Mathematik im ersten Studienjahr ist genau auf den Bachelorstudiengang Mathematik zugeschnitten.

For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares.

The book Boolean Algebra include the normal form theorem; the homomorphism extension theorem; the isomorphism theorem for countable atom less Boolean algebras; the maximal ideal theorem; the celebrated Stone representation theorem; the existence and uniqueness theorems for canonical extensions and completions; Tarski's isomorphism of factors theorem for accountably complete Boolean algebras, and Hanf's related counterexamples; and an extensive treatment of the algebraic-topological duality, including the duality between ideals and open sets, homomorphism's and continuous functions, sub algebras and quotient spaces, and direct products and Stone-Cech compactifications.

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

Graph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools.

These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977.

Lacunary Polynomials Over Finite Fields focuses on reducible lacunary polynomials over finite fields, as well as stem polynomials, differential equations, and gaussian sums.

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

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties.

Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum.

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups.

Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras.

This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing.

This book recounts the connections between multidimensional hypergeometric functions and representation theory.

Nowadays algebra is understood basically as the general theory of algebraic oper- ations and relations.

The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic.

Assuming only basic algebra and Galois theory, the book develops the method of "e;algebraic patching"e; to realize finite groups and, more generally, to solve finite split embedding problems over fields.

Fundamentals of Linear Algebra is like no other book on the subject.

Linear Methods: A General Education Course is expressly written for non-mathematical students, particularly freshmen taking a required core mathematics course.

Algebraic Theory of Molecules presents a fresh look at the mathematics of wave functions that provide the theoretical underpinnings of molecular spectroscopy.

The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data.

This volume covers the most up-to-date findings on string field theory.

This book is intended as an introduction to fuzzy algebraic hyperstructures.

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

Quadratic Forms and Matrices: An Introductory Approach focuses on the principles, processes, methodologies, and approaches involved in the study of quadratic forms and matrices.

This book contains the basics of abstract algebra.

This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow.

Real quaternion analysis is a multi-faceted subject.

Explore the foundations and modern applications of Galois theory Galois theory is widely regarded as one of the most elegant areas of mathematics.

The study of lattice varieties is a field that hasexperienced rapid growth in the last 30 years, but many ofthe interesting and deep results discovered in that periodhave so far only appeared in research papers.

This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years.

This book provides an introduction to the foundations and recent developments in commutative algebra.

Higher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.