Nicholson Linear Algebra 6e introduces the general idea of Linear Algebra much earlier than the competition keeping with the same rigorous and concise approach to linear algebra. Along with the many diagrams and examples that help students visualize, the 6e also keeps with the continuous introduction of concepts. #1 advantage is in Chap 5 known as the “bridging chapter” helps stop students from “hitting the wall” when abstract vector spaces are introduced in chap 6.

Chapter 1: Systems of Linear Equations 

Chapter 2: Matrix Algebra

Chapter 3: Determinants and Diagonalization 

Chapter 4: Vector Geometry 

Chapter 5: The Vector Space Rn

Chapter 6: Vector Spaces 

Chapter 7: Linear Transformations 

Chapter 8: Orthogonality 

Chapter 9: Change of Basis

Chapter 10: Inner Product Spaces 

Chapter 11:Canonical Forms 

Appendix A: Complex Numbers 

Appendix B: Proofs 

Appendix C: Mathematical Induction

Appendix D: Polynomials

Dr. W. Keith Nicholson earned his undergraduate Degree in Applied Mathematics at the University of Alberta, and received his Ph.D. in Pure Mathematics from the University of California at Santa Barbara in 1970. He then moved to the University of Calgary, and has been a professor in the Department of Mathematics and Statistics since 1979, where he has been carrying out research in a branch of algebra called "Ring Theory". His continuing interest in teaching undergraduate students has led to another book in Linear Algebra (now in its third edition), a text in Abstract Algebra (second edition), and the creation (with Professor Claude Laflamme), of an internet tutorial for Linear Algebra called ILAW (Interactive Linear Algebra on the Web). Keith is married and has two grown sons. 

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