Synopses & Reviews
This book offers a refreshingly concise, manageable introduction to linear algebra:
Review
From the reviews: "This book ... gives a well written presentation of linear algebra mainly for physics and computer science students. ... mathematics majors will benefit as well, due to its clearness and inclusion of several examples and problems. The problems can be approached by the average student. The presentation is quite standard and begins from analytic geometry of Euclidean spaces, and then systems of equations -- matrices." (A. Arvanitoyeorgos, Zentralblatt MATH, Vol. 1242, 2012)
Synopsis
Building on the author's previousedition on the subject (Introduction to LinearAlgebra, Jones & Bartlett, 1996), this book offers arefreshingly concise textsuitable for a standard course in linear algebra, presenting acarefully selectedarray ofessentialtopics that can be thoroughly covered in a single semester.Although theexposition generally falls in line with thematerial recommended bythe Linear Algebra Curriculum Study Group, itnotably deviatesinproviding anearly emphasis on the geometricfoundations of linear algebra. This gives students a more intuitive understanding of the subject and enables aneasier grasp of more abstract concepts covered later in the course.
The focus throughout is rooted in the mathematical fundamentals, but the text alsoinvestigates a number of interesting applications, including a section on computergraphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, manyvisuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book.
Brief yet precise and rigorous, thiswork is an ideal choice fora one-semester course in linear algebra targeted primarily at math or physics majors.It is a valuabletool for any professor who teaches the subject.
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Building on the author's previous
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This focused introduction to linear algebra is a refreshingly concise, semester-length text covering a judiciously chosen selection of the most essential topics in the field, including the geometric fundamentals so important for an intuitive understanding.
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
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Building on the author's previous
Table of Contents
Preface.- 1 Analytic Geometry of Euclidean Spaces.- 2 Systems of Linear Equations, Matrices.- 3 Vector Spaces and Subspaces.- 4 Linear Transformations.- 5 Orthogonal Projections and Bases.- 6 Determinants.- 7 Eigenvalues and Eigenvectors.- 8 Numerical Methods.- 9 Appendices.