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Computation with Linear Algebraic Groups

. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational;

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Completeness and Reduction in Algebraic Complexity Theory

includes Valiant's algebraic theory of NP-completeness; interrelations with the classical theory as well as the Blum-Shub-Smale model;

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Rational Algebraic Curves

algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its;

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Jordan Algebras and Algebraic Groups

research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan;

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Linear Algebraic Groups & Finite Groups

introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second;

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Quantum Codes for Topological Quantum Computation

quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and;

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The Lower Algebraic K Theory of Virtually Cyclic Subgroups of the Braid Groups o

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere. The lower algebraic K-theory of the;

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London Mathematical Society Lecture Note Series

This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory;

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Introduction to Algebraic Geometry

theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related;

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Linear Programming: An Introduction to Finite Improvement Algorithms

theory and computation for a first course in linear programming. In addition to substantial material on mathematical proof techniques and;

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Elements of Matrix Modeling and Computing with MATLAB

As discrete models and computing have become more common, there is a need to study matrix computation and numerical linear algebra;

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Linear Groups

linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to;

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Galois Groups & Fundamental Groups

research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological;

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Pseudo-reductive Groups

Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many;

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Commutative Ring Theory

Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory;

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Geometric Linear Algebra (Volume 1)

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

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Geometric Linear Algebra (Volume 1)

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

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Computational Aspects Of Algebraic Curves

of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research;

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Mathematics, Game Theory & Algebra Compendium

geometry including Field Theory and Polynomials; Commutative Rings and Algebras; Algebraic Geometry; Linear and Multi-linear Algebras; Matrix;

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Contributions in Algebra and Algebraic Geometry

and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are;

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Algebraic Topology

Introduces the first concepts of Algebraic Topology, such as general simplicial complexes, simplicial homology theory, fundamental groups;

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Geometric Linear Algebra (Volume 2)

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

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Ordinary Differential Equations

, continuous transformation-groups, linear differential equations-the general theory, with constant coefficients, solutions, algebraic theory, Sturmian;

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Advances in Nonlinear Waves & Symbolic Computation

of their basic properties. Because of the complexity of these non-linear systems, with the symbolic computation, this new book presents important;

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The Four Pillars of Geometry

This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry;

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Group Theory

algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and axioms. Groups recur;

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Moufang Sets and Structurable Division Algebras

every Moufang set arising from a simple linear algebraic group of relative rank one over an arbitrary field $k$ of characteristic different from;

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