Taking a traditional approach to the subject of Linear Algebra, with some introduction for students to R^n, the Fourth Edition of "Linear Algebra with Applications", newly acquired by McGraw-Hill, continues the tradition of accuracy and excellence associated with W. Keith Nicholson. Unlike the previous edition, however, the Fourth Edition introduces eigenvalues early on, in chapter 3, in a rigorous way using only matrix algebra and determinants. As well, Nicholson has added a new "bridging" chapter from Vector Geometry (Chapter 4) to the notion of an Abstract Vector Space (Chapter 6). In the traditional manner, "Nicholson 4/e" allows students to "hit the wall" with theory, but, with these new features, also provides students with the tools needed to overcome the wall.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 254 mm
Breite: 208 mm
Dicke: 23 mm
Gewicht
ISBN-13
978-0-07-088046-7 (9780070880467)
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Schweitzer Klassifikation
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.
Chapter 1: Systems of Linear Equations Chapter 2: Matrix Algebra Chapter 3: Determinants Chapter 4: Vector Geometry Chapter 5: The Vector Space R^n Chapter 6: Vector Spaces Chapter 7: Orthogonality Chapter 8: Linear Transformations Chapter 9: Inner Product Spaces Appendix A: Complex Numbers Appendix B: Mathematical Induction Selected Answers Index