### Algebra & Geometry

#### An Introduction to University Mathematics

Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical…

Paperback – 2016-04-06

Chapman and Hall/CRC### Algebraic Operads

#### An Algorithmic Companion

Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra.…

Hardback – 2016-04-01

Chapman and Hall/CRC### The Truth Value Algebra of Type-2 Fuzzy Sets

#### Order Convolutions of Functions on the Unit Interval

Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership. Computations with these truth values are governed by the truth value algebra of type-2 fuzzy sets. The Truth Value Algebra of Type-2 Fuzzy Sets: Order…

Hardback – 2016-03-15

Chapman and Hall/CRC*Monographs and Research Notes in Mathematics*### Abstract Algebra

#### An Interactive Approach, Second Edition

The new edition of Abstract Algebra: An Interactive Approach presents a hands-on and traditional approach to learning groups, rings, and fields. It then goes further to offer optional technology use to create opportunities for interactive learning and computer use. This new edition offers a more…

Hardback – 2016-03-01

Chapman and Hall/CRC*Textbooks in Mathematics*### Algebraic Computability and Enumeration Models

#### Recursion Theory and Descriptive Complexity

This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories…

Hardback – 2016-02-26

Apple Academic Press### Algebras, Rings and Modules

#### Non-commutative Algebras and Rings

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis,…

Hardback – 2016-01-26

CRC Press### Advanced Linear Algebra

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over…

Hardback – 2015-12-17

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Number Theory, 2nd Edition

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves,…

Hardback – 2015-12-01

Chapman and Hall/CRC*Textbooks in Mathematics*### Applied Abstract Algebra with MapleTM and MATLAB®, Third Edition

Applied Abstract Algebra with MapleTM and MATLAB® provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Pólya's and Burnside's theorems.…

Hardback – 2015-11-19

Chapman and Hall/CRC*Textbooks in Mathematics*### Computational Aspects of Polynomial Identities

#### Volume l, Kemer's Theorems, 2nd Edition

Computational Aspects of Polynomial Identities: Volume l, Kemer’s Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer’s proof of Specht’s…

Hardback – 2015-10-23

Chapman and Hall/CRC*Monographs and Research Notes in Mathematics*### Introduction to Abstract Algebra, Second Edition

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 dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with…

Hardback – 2015-10-23

Chapman and Hall/CRC*Textbooks in Mathematics*### Lineability

#### The Search for Linearity in Mathematics

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in…

Hardback – 2015-10-05

Chapman and Hall/CRC*Monographs and Research Notes in Mathematics*