N.D. - Algebra 1

The epic story of how a handful of surprisingly simple mathematical ideas have sparked today’s technological breakthroughsーfrom Netflix’s recommendation algorithm to medical imaging to artificial i……続きを見る

Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The ai……続きを見る

This is the first book to systematically study the weak systems of mereology. In its chapters, the author critically analyzes and explains core topics related to mereology, such as parthood without ……続きを見る

Struggling to remember the algebra you haven’t touched since high schoolーjust when that placement test is around the corner? Does the mere sight of a fraction send shivers down your spine? Do you d……続きを見る

This monograph provides the first comprehensive introduction to set-theoretic solutions of the Yang–Baxter equation and their deep connections with skew braces. In recent decades, set-theoretic solu……続きを見る

This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Addit……続きを見る

This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; ……続きを見る

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor……続きを見る

This book expounds three kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) p……続きを見る

En esta obra se presenta la modelación de la vaguedad, ambigüedad y contradictoriedad, realizada con lógica trivalente y tetravalente y operada por medio de las estructuras algebraicas de Kleene y D……続きを見る

Dive into the world of mathematics with this meticulously crafted guide, designed to align with the standards of 5th grade education. Perfect for readers aged 4 to 7, this book will provide a solid ……続きを見る

This textbook provides a compact introduction to tensors, which are physical or geometric entities that generalize vectors. Tensors are fundamental in engineering and physics, as they form the frame……続きを見る

O primeiro capítulo, assim, introduz osconceitos de módulo, inteiro algébrico, norma e traço de um elemento,discriminante, base integral, anel de Dedekind e outros conceitosindispensáveis ao desenvo……続きを見る

This groundbreaking textbook combines straightforward explanations with a wealth of practical examples to offer an innovative approach to teaching linear algebra. Requiring no prior knowledge of the……続きを見る

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic ……続きを見る

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact,……続きを見る

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemm……続きを見る

A short, rigorous introduction to intermediate microeconomic theory that offers worked-out examples, tools for solving exercises, and algebra support. This book takes a concise, example-filled appro……続きを見る

Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutati……続きを見る

This book presents Hyper-lattice, a new algebraic model for partially ordered sets, and an alternative to lattice. The authors analyze some of the shortcomings of conventional lattice structure and ……続きを見る

This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum ……続きを見る

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets cont……続きを見る

A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, co……続きを見る

We propose here a study of ‘semiexact’ and ‘homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, w……続きを見る

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. It contains problem sets within e……続きを見る

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and ……続きを見る

With wide-ranging connections to fields from theoretical physics to computer science, Hopf algebras offer students a glimpse at the applications of abstract mathematics. This book is unique in makin……続きを見る

The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects. Utilizing a modular presentation, the core……続きを見る

This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millen……続きを見る

The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classifica……続きを見る