Algebra

Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions.

This book explains vectors and tensors in plain language to give undergraduate and beginning graduate students a better understanding.

The prototypical multilinear operation is multiplication.

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

This book is intended as a teacher's manual and as an independent-study handbook for students and mathematical competitors.

Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small.

This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015.

Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras.

This second edition of "e;Polynomial representations of GL (K)"e; consists of n two parts.

Intended for graduate courses or for independent study, this book presents the basic theory of fields.

Random Matrices gives a coherent and detailed description of analytical methods devised to study random matrices.

This invaluable volume collects papers written by many of the world's top experts on L-functions.

A stand-alone textbook in matrix algebra for econometricians and statisticians - advanced undergraduates, postgraduates and teachers.

A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.

This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS).

A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil.

Differential Geometry is a wide field.

A thoroughly updated guide to matrix algebra and it uses in statistical analysis and features SAS , MATLAB , and R throughout This Second Edition addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole.

Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).

Studying abstract algebra can be an adventure of awe-inspiring discovery.

Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub.

This book provides an introduction to methods for practically solving mathematical problems, such as solving systems of linear equations, determining eigenvalues, approximating and integrating functions, solving nonlinear equations, and the approximate solution of ordinary differential equations.

An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.

In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added.

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain.

The book unifies quantum theory and the general theory of relativity.

This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research.

Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the Thomas gyration.

Algebraic Cryptanalysis bridges the gap between a course in cryptography, and being able to read the cryptanalytic literature.

This textbook provides mathematical tools and applies them to study key aspects of data transmission such as encryption and compression.

This book is a compilation of several works from well-recognized figures in the field of Representation Theory.

The study of polynomial completeness of algebraic systems has only recently matured, and until now, lacked a unified treatment.

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001.

The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Vasteras, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications.

In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics.

Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I.

The book is the first book on complex matrix equations including the conjugate of unknown matrices.

Algebra, as we know it today, consists of many different ideas, concepts and results.

This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications.

This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belongs to the field of noncommutative arithmetic.

Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation.