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This textbook is designed to teach the university mathematics student the basics of the subject of linear algebra. There are no prerequisites other than ordinary algebra, but it is probably best used by a student who has the 'mathematical maturity' of a sophomore or junior.
http://linear.ups.edu/download.html
created by freebooksandarticles on 2008-07-03 09:08:20
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This text is intended to function as an introduction to Linear Programming (LP) and the Simplex algorithm. The specific topics covered and the structure of the material is as follows:
* The LP formulation and the underlying assumptions
* Graphical solution of 2-var LP's
* Generalization to the n-var case: the ``geometry'' of the LP feasible region and the Fundamental Theorem of Linear Programming.
* An algebraic characterization of the solution search space: Basic Feasible Solutions
* The Simplex Algorithm
http://www2.isye.gatech.edu/~spyros/LP/LP.html
created by freebooksandarticles on 2008-07-03 09:04:15
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The book contains a complete treatment of determinants and a simple proof of the Cayley Hamilton theorem although these are optional topics. The Jordan form is presented as an appendix.
http://www.math.byu.edu/%7Eklkuttle/0000ElemLinear
created by freebooksandarticles on 2008-07-03 09:05:53
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Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear transformations, and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis.
http://mathstat.helsinki.fi/~fluch/linear_algebra_
created by freebooksandarticles on 2008-07-03 09:14:04
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This book is an introduction to linear algebra, based on lectures given by me over 17 years, in the (now defunct) first year course MP103 at the University of Queensland.
The style is somewhat formal and terse, whereas in the lecture room I like to open up and present even the most boring things with enthusiasm and motivation.
http://www.numbertheory.org/book/
created by freebooksandarticles on 2008-07-03 08:56:04
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This is a sophomore level webbook on linear algebra and n-dimensional geometry with the aim of developing in college entering undergraduates skills in algorithms, computational methods, and mathematical modeling. It is written in a simple style with lots of examples so that students can read most of it on their own
http://ioe.engin.umich.edu/people/fac/books/murty/
created by freebooksandarticles on 2008-07-03 08:59:59
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Linear algebra, as we know it today, furnishes a beautiful mathematical structure; the integral parts of the structure are powerful tools for engineers, scientists, and mathematicians.
http://distance-ed.math.tamu.edu/Math640/chapter1/
created by freebooksandarticles on 2008-07-03 07:32:29
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This is a foundational textbook on abstract algebra with emphasis on linear algebra. You may download parts of the book or the entire textbook. It is provided free online in PDF, DVI, postscript, and gzipped postscript.
http://www.math.miami.edu/~ec/book/
created by freebooksandarticles on 2008-07-03 07:28:48
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This text Linear Algebra is free for downloading. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. A separate file with all answers, fully worked, is also freely downloadable.
http://joshua.smcvt.edu/linearalgebra/
created by freebooksandarticles on 2008-07-03 07:16:03
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This book is an introduction to linear algebra for pre-calculus students. It is a stand-alone unit in the sense that no prior knowledge of matrices is assumed. Students with experience in general mathematics, up to and including Algebra I, should be able to comprehend the material. However, most students have not had experience with the topics in the latter chapters, so the pace of the course should allow for the students to spend extra time with these chapters.
http://ceee.rice.edu/Books/LA/index.html
created by freebooksandarticles on 2008-07-03 07:08:24
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