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084f2db8c6 Hobby and R. PatiA K Lal and S PatiPDF 176 Pages EnglishThis note covers the following topics: Introduction to Matrices, System of Linear Equations, Finite Dimensional Vector Spaces, Linear Transformations, Inner Product Spaces, Eigenvalues, Eigenvectors and Diagonalization.Lecture notes on linear algebra by David LernerDavid Lerner, University of KansasPDF 120 Pages EnglishThese are lecture notes for a first course in linear algebra; the prerequisite is a good course in calculus. MilnePDF 164 Pages EnglishThese notes are concerned with algebraic number theory, and the sequel with class field theory. Author tried very hard to emphasize the fascinating and important interplay between algebra and geometry.Course Material for Linear Algebra IUniversity of OxfordOnline NA Pages EnglishLinear algebra pervades and is fundamental to algebra, geometry, analysis, applied mathematics, statistics, and indeed most of mathematics. Home>Mathematics Books > Algebra Books > Linear Algebra Books . This section contains free e-books and guides on Linear Algebra, some of the resources in this section can be viewed online and some of them can be downloaded. Topics covered includes: Preliminaries from Commutative Algebra, Rings of Integers, Dedekind Domains- Factorization, The Unit Theorem, Cyclotomic Extensions- Fermats Last Theorem, Absolute Values- Local Fieldsand Global Fields.College AlgebraPaul DawkinsPDF 356 Pages English Course of Linear Algebra and Multidimensional GeometryA Course In Commutative AlgebraRobert B. CarrellPDF 412 Pages EnglishThis textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics. Topics covered includes: Matrices and matrix algebra, Elementary row operations and their corresponding matrices, Homogeneous systems, Square matrices, inverses and related matters, The derivative as a matrix, Subspaces, Linearly dependent and independent sets, Basis and dimension of subspaces, 3 The rank-nullity (dimension) theorem, Eigenvalues and eigenvectors, Orthogonal projections and orthogonal matrices, Symmetric and skew-symmetric matrices.Linear Algebra by National Open University Of NigeriaNational Open University Of NigeriaPDF 139 Pages EnglishThis note is considered as a reference guide for all who wish to model real life situations using systems of linear equations as a modeling tool.
Its aim is solely to learn the basic theory of linear algebra within a semester period. It will consist of ten units divided into 2 modules. McKenziePDF 212 Pages EnglishThis book covers the following topics: Basic concepts and notation, Tight lattices, Tame quotients, Abelian and solvable algebras, The structure of minimal algebras, The types of tame quotients, Labeled congruence lattices, Solvability and semi-distributivity, Congruence modular varieties, Malcev classification and omitting types, Residually small varieties, Decidable varieties, Free spectra, Tame algebras and E-minimal algebras, Simple algebras in varieties.A Course In Algebraic Number TheoryRobert B. Sections are: The group structure of SLn over a field, Linear algebraic groups over field, Root systems, Chevalley groups, K-theoretic results related to Chevalley group, structure and classification of almost simple algebraic groups, Further K-theoretic results for simple algebraic groups.Linear Algebra lecture notes Martin Bright and Daan Krammer (PDF 56P)Martin Bright and Daan KrammerPDF 56 Pages EnglishThis book explains the following topics related to Linear Algebra: Number systems and fields, Vector spaces, Linear independence, spanning and bases of vector spaces, Subspaces, Linear transformations, Matrices, Linear transformations and matrices, Elementary operations and the rank of a matrix, The inverse of a linear transformation and of a matrix, Change of basis and equivalent matrices.Differential Equations and Linear Algebra Lecture Notes (PDF 95P)Simon J.A. Bowman, University of AlbertaPDF 61 Pages EnglishThis book explains the following topics related to Linear Algebra: Vectors, Linear Equations, Matrix Algebra, Determinants, Eigenvalues and Eigenvectors, Linear Transformations, Dimension, Similarity and Diagonalizability, Complex Numbers, Projection Theorem, Gram-Schmidt Orthonormalization, QR Factorization, Least Squares Approximation, Orthogonal (Unitary) Diagonalizability, Systems of Differential Equations, Quadratic Forms, Vector Spaces and the Pseudoinverse.Linear Algebra in Twenty Five Lectures (PDF 395P)Tom Denton and Andrew WaldronPDF 395 Pages EnglishThis note emphasize the concepts of vector spaces and linear transformations as mathematical structures that can be used to model the world around us. Sponsored links . Linear Algebra Books Lecture Notes on Linear Algebra by A.K Lal and S.