Algebra

Unified introduction to algebra and geometry, emphasising links between the topics.

This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness.

This book gives an overview of research on graphs associated with commutative rings.

This book focuses on linear time eigenvalue location algorithms for graphs.

Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics.

This monograph deals with the Hadamard products of algebraic varieties.

This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems.

A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.

Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation.

The book is intended to serve as an introductory course in group theory geared towards second-year university students.

Linear chain substances span a large cross section of contemporary chemis- try ranging from covalent polymers, organic charge transfer complexes to nonstoichiometric transition metal coordination complexes.

This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019.

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications.

For courses in algebra & trigonometry.

This book contains both expository articles and original research in the areas of function theory and operator theory.

This book provides an introduction to quantum probability, focusing on the notion of independence in quantum probability.

Often perceived as dry and abstract, homological algebra nonetheless has important applications in a number of important areas, including ring theory, group theory, representation theory, and algebraic topology and geometry.

Useful Concepts and Results at the Heart of Linear AlgebraA one- or two-semester course for a wide variety of students at the sophomore/junior undergraduate levelA Modern Introduction to Linear Algebra provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra.

Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization.

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.

Galois connections provide the order- or structure-preserving passage between two worlds of our imagination - and thus are inherent in hu- man thinking wherever logical or mathematical reasoning about cer- tain hierarchical structures is involved.

Discover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.

This monograph provides a modern introduction to the theory of quantales.

This is an introductory book on generating functions (GFs) and their applications.

This second volume deals with the relative homological algebra of complexes of modules and their applications.

Self-contained text, ideal for graduate students new to the area and researchers.

This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness.

Lattice theory extends into virtually every branch of mathematics, ranging from measure theory and convex geometry to probability theory and topology.

The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc.

This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications.

This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan- dardization of the mathematics of fuzzy sets established in the "e;Handbook"e;, namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish- ers, 1999).

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory.

This book provides a rather self-contained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) light-like boundary.

This volume offers English translations of three early works by Ernst Schroder (1841-1902), a mathematician and logician whose philosophical ruminations and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C.

This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from arrangements of straight lines crossing a common point on a piece of paper.

During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras.

A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought.

This step-by-step approach helps you learn algebra quickly and easily!

This book contains both expository articles and original research in the areas of function theory and operator theory.

A one-volume, one-day algebra course.

This book complements the authors' monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics).

Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension.