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Essential Linear Algebra download epub

by Jared M. Maruskin


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Essential Linear Algebra. has been added to your Cart. The present book, as its title indicates, introduces the essential concepts of linear algebra and considers some of its applications. the book is very suitable for students who are going to prepare for competitions and Olympiads. Moreover, the solved problems make it a very good problem book, with nice ideas, for anybody working with linear algebra. I recommend this book for students, and also for classroom use by teachers.

Designed around a single-semester undergraduate course, Essential Linear Algebra introduces key concepts, various real-world applications, and provides detailed yet understandable proofs of key results that are aimed towards students with no advanced preparation in proof writing

Maruskin, Jared M. (2012). Gilbert Strang (Spring 2010) Linear Algebra from MIT Open Courseware.

Maruskin, Jared M. Transpose, mathworld. php?title Transpose&oldid 911954910". by Jared M. Maruskin 264 pages. published August 2012. Solar Crest Publishing. July 17, 2012 ·. Introducing, "Essential Linear Algebra. publication date: August 1, 2012. ISBN: 978-850627-2-9 ( hardcover ) This text introduces linear algebra-boiled to its essence-presented in a clear and concise fashion.

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Jared M. Maruskin, Daniel J. Scheeres, Kyle Terry Alfriend.

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This text introduces linear algebra-boiled to its essence-presented in a clear and concise fashion. Designed around a single-semester undergraduate course, Essential Linear Algebra introduces key concepts, various real-world applications, and provides detailed yet understandable proofs of key results that are aimed towards students with no advanced preparation in proof writing. The level of sophistication gradually increases from beginning to end in order to prepare students for subsequent studies. We begin with a detailed introduction to systems of linear equations and elementary row operations. We then advance to a discussion of linear transformations, which provide a second, more geometric, interpretation of the operation of matrix-vector product. We go on to introduce vector spaces and their subspaces, the image and kernel of a transformation, and change of coordinates. Following, we discuss matrices of orthogonal projections and orthogonal matrices. Our penultimate chapter is devoted to the theory of determinants, which are presented, first, in terms of area and volume expansion factors of 2x2 and 3x3 matrices, respectively. We use a geometric understanding of volume in n-dimensions to introduce general determinants axiomatically as multilinear, antisymmetric mappings, and prove existence and uniqueness. Our final chapter is devoted to the theory of eigenvalues and eigenvectors. We conclude with a number of discussions on various types of diagonalization: real, complex, and orthogonal.
Essential Linear Algebra download epub
Mathematics
Author: Jared M. Maruskin
ISBN: 098506272X
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Solar Crest Publishing, LLC (August 1, 2012)
Pages: 280 pages