Practical Linear Algebra

Practical Linear Algebra introduces students in math, science, engineering, and computer science to Linear Algebra from an intuitive and geometric viewpoint, creating a level of understanding that goes far beyond mere matrix manipulations. Practical aspects, such as computer graphics topics and numerical strategies, are covered throughout, and thus students can build a "Geometry Toolbox," based on a geometric understanding of the key concepts. This book covers all the standard linear algebra material for a first-year course; the authors teach by motivation, illustration, and example rather than by using a theorem/proof style. Special Features: - Clear visual representations (more than 200 figures) for improved material comprehension. - Hand-drawn sketches encourage students to create their own sketches when solving problems-developing another layer of learning. - Numerous examples show applications to real-world problems. - Problems at the end of each chapter allow students to test their understanding of the material presented. Solutions to selected problems are provided. - Concise chapter summaries highlight the most important points, giving students focus for their approach to learning. An instructor's manual will be available soon.

ISBN 1568812345   Pages 394 ISBN13 9781568812342 (What's this?)   Volumes 001 Publisher Taylor & Francis Inc   Weight (grammes) 884 Imprint A K Peters   Published in Natick Format Hardback   Height (mm) 250 Publication date 21 Dec 2004   Width (mm) 192 Library of Congress QA184.2.F3   Spine width (mm) 27 DEWEY 512.5   Academic level Undergraduate DEWEY edition DC21

Ch. 1		Descartes' discovery		1
Ch. 2		Here and there : points and vectors in 2D		13
Ch. 3		Lining up : 2D lines		33
Ch. 4		Changing shapes : linear maps in 2D		57
Ch. 5		2 x 2 linear systems		87
Ch. 6		Moving things around : affine maps in 2D		107
Ch. 7		Eigen things		123
Ch. 8		Breaking it up : triangles		141
Ch. 9		Conics		155
Ch. 10		3D geometry		165
Ch. 11		Interactions in 3D		185
Ch. 12		Linear maps in 3D		199
Ch. 13		Affine maps in 3D		223
Ch. 14		General linear systems		241
Ch. 15		General linear spaces		265
Ch. 16		Numerical methods		279
Ch. 17		Putting lines together : polylines and polygons		297
Ch. 18		Curves		315

" Read an article on teaching Linear Algebra written by Gerald Farin and Dianne Hansford. -Ties Magazine, November 2005 "It is well written and the examples are carefully chosen to motivate or exemplify the topic at hand." -J.R. Burke, CHOICE Magazine , September 2005 "[The] mixture of linear algebra, geometry, and numerical aspects is very interesting and will probably stimulate the students." -Yves Felix, Bulletin of the Belgian Mathematical Society, December 2005 "I picked up this book with the thought, 'oh, another linear algebra text.' I was pleasantly surprised, upon examination, that it is not just another one. The standard linear algebra material is presented with good motivating stories, illustrations and examples." -S. Swaminathan, CMS Notes, February 2006 "This book covers all the fundamental topics of linear algebra ... It is also an inspiring book for pure mathematicians who would like to learn more about applications of linear algebra ... a useful source of many nice examples." -EMS, December 2006 "Das Buch [ist] eine einmalige und wertvolle Erganzung zur bestehenden reichen Literatur zur Linearen Algebra." -Internationale Mathematische Nachrichten, April 2007"

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