I'm Professor Emeritus of Mathematics at. My research interests are in differential geometry and complex algebraic geometry. If you would like to see how the Honors Program at The University of Georgia has recently garnered national attention, you might try the cover story of the September 16, issue of U. I have a personal stake in this, of course.
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Theodore Shifrin, Malcolm Adams. Recommend to library. Linear Algebra: A Geometric Approach , now in its second edition and written by Malcolm Adams and Ted Shifrin, presents the standard computational aspects of linear algebra. The textbook also includes a variety of intriguing Linear Algebra: A Geometric Approach, now in its second edition and written by Malcolm Adams and Ted Shifrin, presents the standard computational aspects of linear algebra.
The textbook also includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses. This textbook is an ideal book for any course covering the multifaceted and complex topic of linear algebra.
Geometry is introduced early, using vector algebra to do analytic geometry in the first section and dot product in the second. Concepts and understanding is emphasized, doing proofs in text and providing plenty of exercises. To aid the student in adjusting to the mathematical rigor, blue boxes are provided which discuss matters of logic and proof technique or advice on formulating problem-solving strategies.
Rotations, reflections, and projections are used as a first brush with the notion of linear transformation when introducing matrix multiplication. Linear transformations are then treated in concert with the discussion of projections. Thus, the change-of-basis formula is motivated by starting with a coordinate system in which a geometrically defined linear transformation is clearly understood and asking for its standard matrix.
He has won multiple awards for teaching, including the Lothar Tresp Outstanding Honors Professor Award in and , as well as the Honoratus Medal in Professor Adams's research interests focus on differential equations, especially in applications to biology and physics. Cart Continue Shopping. All prices are shown including Tax. The submitted promocode is invalid. Discount code already used. It can only be used once. Enter promo code. Important information on your ebook order Your ebook will be fulfilled by Vitalsource.
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You will receive a physical card with a unique code and instructions on how to get student access to your course materials. Hardcover - 30 July Ebook - 13 February Show More. Show Less. A stronger emphasis has been placed throughout on key concepts and understanding, through new proofs and a variety of text exercises.
Additional material has been included, such as coverage of vectors and matrices in chapter 1 and matrix algebra in chapter 2. Chapter 1. Vectors and Matrices Chapter 2. Matrix Algebra Chapter 3. Vector Spaces Chapter 4. Projections and Linear Transformations Chapter 5. Determinants Chapter 6.
Eigenvalues and Eigenvectors. Email Address. Please enter the letters displayed. Stroud, Dexter Booth. Foundation Mathematics K.
Hartlaub, George W. Cobb, Ann R. Cannon, Allan J. Rossman, Thomas L. Moore, Robin H. Lock, Julie M.
Linear Algebra: A Geometric Approach
I was more or less expecting yet another watered-down text, with more uninspiring visuals than useful explanations and more tedious matrix computations than clear theoretical interpretations. The good news is that I was wrong. This is a well-written textbook which focuses on the geometric interpretation of the basic concepts of linear algebra but does not hesitate to go into the abstract notions that make the whole subject stand on its own as a glorious chapter of modern mathematics. I am still not sure if I will drop my own favorite text for this one for my next linear algebra course, but it certainly presents a good alternative to the many books out there. The basic premise is the familiar one that linear algebra should be taught with geometry in mind. That linear equations correspond to linear spaces and their simultaneous solutions can be viewed most profitably via a geometric approach is nothing new to most readers of MAA Reviews. However sometimes in our rush we may forget to incorporate this basic idea into our courses.
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