線性代數

●Writing Projects offer students opportunities to research and write about linear algebra. Projects are designed for individual or group work.
●Chapter 8: Codes is an online chapter combining all material on codes previously interspersed throughout the text.
●More than 100 new or revised exercises.

●“Technology Bytes”, an extensive online appendix that shows Maple, Mathematica, and MATLAB instructions key for working out examples and exercises from the text in a computer algebra system.
●Explorations provide deeper discovery-based guides on key concepts, designed for individual or group work.Ample applied problems from a wide variety of disciplines, including mathematics, physics, engineering, biology, chemistry, computer science, economics, geography, psychology, and sociology.
●Context-sensitive margin notes for extra help and cross-references.
●Vignettes showcase modern applications of linear algebra.
●Biographical sketches highlight many of the mathematicians who contributed to the development of linear algebra.

David Poole is Professor of Mathematics at Trent University, where he has been a faculty member since 1984. Dr. Poole has won numerous teaching awards: Trent University’s Symons Award for Excellence in Teaching (the university’s top teaching award), three merit awards for teaching excellence, a 2002 Ontario Confederation of University Faculty Associations Teaching Award (the top university teaching award in the province), a 2003 3M Teaching Fellowship (the top university teaching award in Canada, sponsored by 3M Canada Ltd.), a 2007 Leadership in Faculty Teaching Award from the province of Ontario, and the Canadian Mathematical Society’s 2009 Excellence in Teaching Award. From 2002-2007, Dr. Poole was Trent University’s Associate Dean (Teaching & Learning). His research interests include discrete mathematics, ring theory, and mathematics education. He received his B.Sc. from Acadia University in 1976 before earning his M.Sc. (1977) and Ph.D. (1984) from McMaster University. When he is not doing mathematics, David Poole enjoys hiking and cooking, and he is an avid film buff.

1. VECTORS.
2. SYSTEMS OF LINEAR EQUATIONS.
3. MATRICES.
4. EIGENVALUES AND EIGENVECTORS.
5. ORTHOGONALITY.
6. VECTOR SPACES.
7. DISTANCE AND APPROXIMATION.
8. CODES. (Online)
Appendix A: Mathematical Notation and Methods of Proof.
Appendix B: Mathematical Induction.
Appendix C: Complex Numbers.
Appendix D: Polynomials.
Appendix E: Technology Bytes (Online)
Answers to Selected Odd-Numbered Exercises