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Tag Archives: Algebra

Algebraic Topology

In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable

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Orbital Integrals on Reductive Lie Groups and Their Algebras

The purpose of this book is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation

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Introduction to Non-linear Algebra

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. It reveals the non-linear

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Super Linear Algebra

Super Linear Algebras are built using super matrices. These new structures can be applied to all fields in which linear algebras are used. Super characteristic values exist only when the related super matrices are super square diagonal super matrices

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Fundamental Problems of Algorithmic Algebra

Popular computer algebra systems such as Maple, Macsyma, Mathematica, and REDUCE are now basic tools on most computers. Efficient algorithms for various algebraic operations underlie all these systems. Computer algebra, or algorithmic algebra, studie

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Algorithmic Algebra

Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets.The main purpose of the book is to acquaint advanced undergraduate and

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Applied and Computational Linear Algebra: A First Course

This book is intended as a text for a graduate course that focuses on applications of linear algebra and on the algorithms used to solve the problems that arise in those applications. Often the particular nature of the applications will prompt us to

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Algebra and Trigonometry

This book provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of c

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Lectures on Linear Algebra and Matrices

This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps

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Linear Algebra as an Introduction to Abstract Mathematics

Based on lectures given at University of California, Davis, this text constitutes a substantial, abstract introduction to linear algebra.This book aims to bridge the gap between the mainly computation-oriented lower division undergraduate classes and

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