A Concise Introduction to Linear Algebra - Géza Schay

. .

Résumé :
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....

Sommaire:
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.

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)