Algebra

For courses in Beginning Algebra.

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences.

A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research.

By combinatorial semigroups, we mean a general term of concepts, facts and methods which are produced in investigating of algebraic and combinatorial properties, constructions, classifications and interrelations of formal languages and automata, codes, finite and infinite words by using semigroup theory and combinatorial analysis.

This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras; a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects.

An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics.

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics.

This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory.

This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory.

This book develops a new theory in convex geometry, generalizing positive bases and related to Caratheordory's Theorem by combining convex geometry, the combinatorics of infinite subsets of lattice points, and the arithmetic of transfer Krull monoids (the latter broadly generalizing the ubiquitous class of Krull domains in commutative algebra)This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization.

Taught at junior level math courses at every university, Linear Algebra is essential for students in almost every technical and analytic discipline.

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations.

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them?

Dieses Buch basiert auf Vorlesungen, die der Autor in Kaiserslautern gehalten hat.

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved.

Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory.

No detailed description available for "e;Algebraic Systems"e;.

The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties.

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics.

For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields.

The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory.

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry.

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

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

The book presents the winners of the Abel Prize in mathematics for the period 2013-17: Pierre Deligne (2013); Yakov G.

This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities.

Identity Based Encryption (IBE) is a type of public key encryption and has been intensely researched in the past decade.

Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis.

Near polygons were introduced about 25 years ago and studied intensively in the 1980s.

15 years after the ?

Your SOLUTION to mastering ALGEBRA!

This is an essentially self-contained monograph centered on the new double Hecke algebra technique.

This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics.

Auf vielfachen Wunsch liegt jetzt die zweite, verbesserte Auflage des Band 1 des zweibändigen Lehrbuchs Höhere Mathematik vor.

This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations, and rationality problems of invariant fields - displaying a command of the most advanced methods in algebra.

This book is an outgrowth of the special term "e;Harmonic Analysis, Representation Theory, and Integral Geometry,"e; held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn during the summer of 2007.

This monograph is concerned with mathematical aspects of compartmental an- alysis.

The Discrete Cosine Transform (DCT) is used in many applications by the scientific, engineering and research communities and in data compression in particular.

The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups.

This volume is a compilation of lectures on algebras and combinatorics presented at the Second International Congress in Algebra and Combinatorics.

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied.

Das vorliegende Lehrbuch wendet sich speziell an Studierende biowissenschaftlicher Fachrichtungen und trägt den Anforderungen der neuen Bachelor-Studienabschlüsse Rechnung.