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A Concise Introduction to Linear Algebra

✍ Scribed by Géza Schay (auth.)


Publisher
BirkhΓ€user Basel
Year
2012
Tongue
English
Leaves
343
Edition
1
Category
Library

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✦ Synopsis


Building on the author's previous edition on the subject (Introduction toLinear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course.

The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals 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, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.

✦ Table of Contents


Front Matter....Pages i-xii
Analytic Geometry of Euclidean Spaces....Pages 1-39
Systems of Linear Equations, Matrices....Pages 41-98
Vector Spaces and Subspaces....Pages 99-161
Linear Transformations....Pages 163-197
Orthogonal Projections and Bases....Pages 199-219
Determinants....Pages 221-252
Eigenvalues and Eigenvectors....Pages 253-289
Numerical Methods....Pages 291-314
Back Matter....Pages 315-330

✦ Subjects


Linear and Multilinear Algebras, Matrix Theory;General Algebraic Systems;Mathematical Physics;Mathematical Methods in Physics;Theoretical, Mathematical and Computational Physics


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