Algebra

This volume is an outcome of the International Conference on Algebra in celebration of the 70th birthday of Professor Shum Kar-Ping which was held in Gadjah Mada University on 7-10 October 2010.

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.

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions.

The study of noncommutative rings is a major area in modern algebra.

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 describes the efficient implementation of public-key cryptography (PKC) to address the security challenges of massive amounts of information generated by the vast network of connected devices, ranging from tiny Radio Frequency Identification (RFID) tags to powerful desktop computers.

Hyperstructures represent a natural extension of classical algebraic structures.

We introduce new methods connecting numerics and symbolic computations, i.

Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology.

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.

A large portion of the book can be used as a textbook for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields.

This book provides a self-contained and accessible introduction to linear and multilinear algebra.

The Shape of Algebra in the Mirrors of Mathematics is a unique text aiming to explain some elements of modern mathematics and to show its flavor and unity.

This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings.

New Edition: A Course on Abstract Algebra (2nd Edition)This textbook provides an introduction to abstract algebra for advanced undergraduate students.

Designed for a one-semester course in mathematics, this textbook presents a concise and practical introduction to commutative algebra in terms of normal (normalized) structure.

This book is an introduction to the theory and application of modes - structures that capture the common underlying algebra of convex sets, affine spaces and certain ordered sets.

Neither a list of theorems and proofs nor a recipe for elementary matrix calculations, this textbook acquaints the student of applied mathematics with the concepts of linear algebra - why they are useful and how they are used.

This book is ideally suited for a two-term, undergraduate algebra course culminating in Galois theory.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities.

This book covers selected topics in geometry, algebra, calculus and probability theory.

This book concentrates on the topic of evaluation of Jacobians in some specific linear as well as nonlinear matrix transformations, in the real and complex cases, which are widely applied in the statistical, physical, engineering, biological and social sciences.

This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations.

This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras.

The book presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras.

This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations.

This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations.

This textbook addresses itself to two groups of students who need mathematics in an applied context: undergraduates starting at the beginning, and postgraduates who need reference-material, but who, not being mathematics specialists, nevertheless are not best served by an ordinary mathematics textbook, which will generally be at a higher level of abstraction.

The recent developments in canonical transforms, matrix theory, block Kronecker multiplications, and other areas are applied to extend and simplify results in the theory of first order systems and special relativity.

This solution booklet is a supplement to the book "e;A Course in Linear Algebra with Applications"e;.

This book comes from the first part of the lecture notes which the author used for a first-year graduate algebra course.

Spinors are used extensively in physics.

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail).

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail).

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail).

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail).

This book presents a thorough explanation of the notation of summation, some unusual material on inequalities, an extended treatment of mathematical induction, and basic probability theory (including the explanation that all gambling systems must fail).

New Edition available hereGalois' Theory of Algebraic Equations gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century.

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields.

This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory.

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations.

This short but rigorous book approaches the main ideas of linear algebra through carefully selected examples and relevant applications.

This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study.

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations.

This book was originally written in 1969 by Berkeley mathematician John Rhodes.

This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels.

This is the first book of its kind which teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R.

This book is appropriate for second to fourth year undergraduates.

This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory.

The purpose of this book is to explain linear algebra clearly for beginners.