by I-Hsiung Lin (National Taiwan Normal University, China)

Table of Contents (170k)
Preface (123k)
Part 1: The A.ne and Linear Structures of R1, R2 and R3 (170k)

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations. The book applies known results to describe various geometries and their invariants, and presents problems concerned with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov chains and transformation groups. The clear and inductive approach makes this book unique among existing books on linear algebra both in presentation and in content.

• The Affine and Linear Structures of P¹, P² and P³:
  • The One-Dimensional Real Vector Space P (or P¹)
  • The Two-Dimensional Real Vector Space P²
  • The Three-Dimensional Real Vector Space P³