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| Confusing Textbooks? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have... The capability of computer algebra systems for creating animations has given mathematics instructors a powerful means of demonstrating...
This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely... In this book the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps,...
In recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root... Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was...
A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent).... Melding together ideas from algebra, topology and analysis, this book studies the geometric theory of polynomials and rational functions...
This is a unique, essentially self-contained, monograph in a new field of fundamental importance for Representation Theory, Harmonic... Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas...
PoincarÈ duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in... Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed...
In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many new... At the crossroads of representation theory, algebraic geometry and finite group theory, this book blends together many of the main...
This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has... This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the...
This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With... Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm,...
The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over... How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive...
The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras... Property is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating...
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to... Presenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective...
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