This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses.
This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers.
Dieses Buch erleichtert Ihnen den Einstieg in das eigenständige Lösen von Aufgaben zur Algebra, indem es Ihnen nicht einfach nur Aufgaben mit Lösungen, sondern vor allem auch Hinweise zur Lösungsfindung und ausführliche Motivationen bietet.
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory.
This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids.
This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's work on Pi.
The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner.
This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications.
In diesem Band des zweiteiligen Lehrbuchs zur Linearen Algebra werden zum einen verschiedene Anwendungen zu den Themen des ersten Bandes vertieft: es wird die Lösungstheorie linearer gewöhnlicher Differentialgleichungen mit konstanten Koeffizienten vorgestellt.
This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
This book is devoted to a new direction in linear algebra and operator theory that deals with the invariants of partially specified matrices and operators, and with the spectral analysis of their completions.
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.
The 100+ Series, Algebra, offers in-depth practice and review for challenging middle school math topics such as radicals and exponents; factoring; and solving and graphing equations.
International Series of Monographs in Pure and Applied Mathematics, Volume 59: A Course of Higher Mathematics, III/I: Linear Algebra focuses on algebraic methods.
Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models.
Dieses sorgfältig verfasste Lehrbuch bietet eine zugängliche Einführung in die Darstellungstheorie von Algebren, einschließlich Darstellungen von Köchern.
The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics.
This textbook teaches the fundamentals of algebra, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words.
Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades.
A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models.
Computer-Algebra-Systeme (CAS) und computerorientierte numerische Verfahren (CNV) vereinfachen den praktischen Umgang mit der Mathematik ganz entscheidend und werden in immer weiteren Bereichen angewendet.
The origins of the mathematics in this book date back more than two thou- sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu- clid.
This textbook teaches the fundamentals of algebra, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words.
