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Linear Algebra Notes by David A. Santos
The purpose with these notes is to introduce students to the concept of proof in linear algebra in a gentle manner. Topics covered includes: Matrices and Matrix Operations, Linear Equations, Vector Spaces, Linear Transformations, Determinants, Eigenvalues and Eigenvectors, Linear Algebra and Geometry.
Author(s): David A. Santos
270 Pages
Linear Algebra A free Linear Algebra Textbook and Online Resource
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.
Author(s): David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron
436 Pages
Linear Algebra I by Ronald van Luijk
This note explains the following topics: Vector spaces, The field of complex numbers, Linear maps, Subspaces, Matrices, Linear independence and dimension, Ranks, Linear maps and matrices, Determinants, Eigenvalues and Eigenvectors.
Author(s): Ronald van Luijk
156 Pages
Differential Equations and Linear Algebra Lecture Notes (PDF 95P)
This book explains the following topics related to Differential Equations and Linear Algebra: Linear second order ODEs, Homogeneous linear ODEs, Non-homogeneous linear ODEs, Laplace transforms, Linear algebraic equations, Linear algebraic eigenvalue problems and Systems of differential equations.
Author(s): Simon J.A. Malham
95 Pages
Lecture Notes for Linear Algebra (PDF 268P)
These notes are intended for someone who has already grappled with the problem of constructing proofs.This book covers the following topics: Gauss-Jordan elimination, matrix arithmetic, determinants , linear algebra, linear transformations, linear geometry, eigenvalues and eigenvectors.
Author(s): James S. Cook, Liberty University
268 Pages
These notes are concerned with algebraic number theory, and the sequel with class field theory. Topics covered includes: Preliminaries from Commutative Algebra, Rings of Integers, Dedekind Domains- Factorization, The Unit Theorem, Cyclotomic Extensions- Fermat’s Last Theorem, Absolute Values- Local Fieldsand Global Fields.
Author(s): J.S. Milne
164 Pages
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Linear Algebra Hefferon J (Mirror)
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Linear Algebra Done Wrong Sergei Treil
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A First Course in Linear Algebra
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Elements of Abstract and Linear Algebra
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Toeplitz and Circulant Matrices
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