by Stephen A Fulling (Texas A&M University), Michael N Sinyakov (Institute of Cybernetics, Ukraine), & Sergei V Tishchenko (Taras Shevchenko University of Ukraine)

Table of Contents (56k)
Preface (197k)
Chapter 1: Vectors (1,001k)

Neither a list of theorems and proofs nor a recipe for elementary matrix calculations, this textbook acquaints the student of applied mathematics with the concepts of linear algebra — why they are useful and how they are used. As each concept is introduced, it is applied to multivariable calculus or differential equations, extending and consolidating the student's understanding of those subjects in the process.

• Vectors
• Matrices
• Vector Spaces and Linear Functions
• Bases
• Subspaces and Linear Equations
• Inner Products and Differential Vector Calculus
• Determinants and Integral Vector Calculus
• Eigenvectors and Diagonalization