Mathematics Books Algebra BooksLinear Algebra Books

A Course In Commutative Algebra

A Course In Commutative Algebra

A Course In Commutative Algebra

This book covers the following topics: Ring Theory Background, Primary Decomposition and Associated Primes, Integral Extensions, Valuation Rings, Completion, Dimension Theory, Depth, Homological Methods and Regular Local Rings.

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A First Course in Linear Algebra by Ilijas Farah and K. Kuttler

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Introduction to Applied Linear Algebra

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This book is meant to provide an introduction to vectors, matrices, and least squares methods, basic topics in applied linear algebra. Our goal is to give the beginning student, with little or no prior exposure to linear algebra, a good grounding in the basic ideas, as well as an appreciation for how they are used in many applications, including data fitting, machine learning and artificial intelligence, tomography, image processing, finance, and automatic control systems. Topics covered includes: Vectors, Norm and distance, Clustering, Matrices, Linear equations, Matrix multiplication, Linear dynamical systems, Least squares, Multi-objective least squares, Constrained least squares.

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Linear Algebra  A free Linear Algebra Textbook and Online Resource

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This textbook is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations.

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Course of Linear Algebra and Multidimensional Geometry

Course of Linear Algebra and Multidimensional Geometry

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Fundamentals of Linear Algebra

Fundamentals of Linear Algebra

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A Course in Universal Algebra

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ELEMENTARY LINEAR ALGEBRA

ELEMENTARY LINEAR ALGEBRA

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Linear Algebra Done Wrong   Sergei Treil

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A Computational Introduction to Number Theory and Algebra (Version 1)

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Notes on Linear Algebra

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Algebraic Curves

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An Invitation to General Algebra and Universal Constructions

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