Appropriate for courses in Introductory Linear Algebra for science, computer science, engineering, and social science students.
Norman/Wolczuk’s An Introduction to Linear Algebra for Science and Engineering has been widely respected for its unique approach, which helps students understand and apply theory and concepts by combining theory with computations and slowly bringing students to the difficult abstract concepts. This approach includes an early treatment of vector spaces and complex topics in a simpler, geometric context. An Introduction to Linear Algebra for Science and Engineering promotes advanced thinking and understanding by encouraging students to make connections between previously learned and new concepts and demonstrates the importance of each topic through applications.
The highly anticipated second edition of this book will retain the student-friendly writing of the first edition while enhancing pedagogical features by including new mid-section exercises, new and expanded examples and end-of-chapter problems, and improved motivation behind each theorem. The second edition features a fresh two-colour design and a companion website for students that will include additional applications, resources, practice quizzes, and the first edition’s “Essay on Linearity and Superposition in Physics.”
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Chapter 1: Euclidean Vector Spaces
Chapter 2: Systems of Linear Equations
Chapter 3: Matrices, Linear Mappings, Inverses
Chapter 4: Vector Spaces
Chapter 5: Determinants
Chapter 6: Eigenvectors and Diagonalization
Chapter 7: Orthonormal Bases
Chapter 8: Symmetric Matrices and Quadratic Forms
Chapter 9: Complex Vector Spaces
Daniel Norman, born 1938. B.A. (University of Toronto), M.A.(Queen's University at Kingston), Ph.D. (University of London, King's College). His Ph.D. thesis was in General Relativity. Appointed to the Department of Mathematics at Queen's in 1965, he remained interested in applied mathematics. He taught undergraduate courses at all levels, mostly calculus, linear algebra and differential equations, to engineering students. After teaching introductory linear algebra for several years, he was frustrated with texts then available for those students so he began writing Introduction to Linear Algebra for engineering students in 1989. Versions of it were used in the large first year engineering class from 1991 until its publication as a book in 1995 and it continued to be used until he retired from the Department of Mathematics and Statistics at Queen's, as an Associate Professor, in 2001.
Dan Wolczuk has been lecturing at the University of Waterloo since 2004. Since he teaches nine courses a year, mostly first and second year linear algebra and calculus courses, he has spent considerable effort researching how to teach these courses more effectively. Dan is very passionate about teaching and spends much of his spare time teaching mathematics to gifted elementary and high school students.