Linear Algebra Examples C-1: Linear Equations, Matrices and Determinants
The book is a collection of solved problems in linear algebra, this first volume covers linear equations, matrices and determinants. All examples are solved, and the solutions usually consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
Added by: honhungoc | Karma: 8660.27 | Black Hole | 25 November 2010
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MIT Linear Algebra Video Lectures
These video lectures of Professor Gilbert Strang teaching 18.06 were recorded live in the Fall. Support for the video production was provided by the Lord Foundation of Massachusetts under a grant to the MIT Center for Advanced Educational Services.
01 The Geometry of Linear Equations.rm 02 Elimination with Matrices.rm 03 Multiplication and Inverse Matrices.rm 04 Factorization into A = LU.rm 05 Transposes, Permutations, Spaces R^n.rm 06 Column Space and Nullspace.rm 07 Solving Ax = 0 - Pivot Variables, Special Solutions.rm 08 Solving Ax = b - Row Reduced Form R.rm 09 Independence, Basis, and Dimension.rm
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Can one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how to teach and learn mathematics by ‘doing’ mathematics.
Determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space
Introduction to Fortran 95 and Numerical Computing
Added by: honhungoc | Karma: 8660.27 | Black Hole | 2 November 2010
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Introduction to Fortran 95 and Numerical Computing
Contents: a quick tour of fortran 95; the building blocks of a fortran application; flow control; computer arithmetic; applications; intrinsic functions; input and output; arrays; more on procedures; parametrized intrinsic types; derived types; pointers and targets; elements of object-oriented programming; code performance; linear systems of algebraic equations; linear least squares; nonlinear equations; polynomial interpolation; numerical integration; splines; Taylor polynomials
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