Overview
- A uniquely concise, focused, and rigorous study of linear algebra for beginners
- Integrates a variety of applications without distracting from the elegance and interconnectedness of theory
- Offers a wealth of exercises, many using MATLAB, and a complete solutions manual
- Provides many precise illustrations to enhance clarity
- Notation integrates seamlessly with future courses students can expect to take
- Includes supplementary material: sn.pub/extras
- Request lecturer material: sn.pub/lecturer-material
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Building on the author's previous edition on the subject (Introduction to Linear 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.
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: A Concise Introduction to Linear Algebra
Authors: Géza Schay
DOI: https://doi.org/10.1007/978-0-8176-8325-2
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-0-8176-8324-5Published: 30 March 2012
eBook ISBN: 978-0-8176-8325-2Published: 30 March 2012
Edition Number: 1
Number of Pages: XII, 330
Number of Illustrations: 50 b/w illustrations
Topics: Linear and Multilinear Algebras, Matrix Theory, General Algebraic Systems, Mathematical Physics, Mathematical Methods in Physics, Theoretical, Mathematical and Computational Physics