Practical Linear Algebra - Gerald Farin; Dianne Hansford

Practical Linear Algebra
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Autor: Gerald Farin; Dianne Hansford

 Wydawnictwo: Taylor Francis
ISBN: 9781466579569
EAN:
Format: ...
Oprawa: twarda
Stron: 514
Data wydania: 2013-09-01
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Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for the primary interests: math, engineering, science, computer graphics, and geometric modeling. New to the Third Edition More exercises and applications Coverage of singular value decomposition and its application to the pseudoinverse, principal components analysis, and image compression More attention to eigen-analysis, including eigenfunctions and the Google matrix Greater emphasis on orthogonal projections and matrix decompositions, which are tied to repeated themes such as the concept of least squares To help students better visualize and understand the material, the authors introduce the fundamental concepts of linear algebra first in a two-dimensional setting and then revisit these concepts and others in a three-dimensional setting. They also discuss higher dimensions in various real-life applications. Triangles, polygons, conics, and curves are introduced as central applications of linear algebra. Instead of using the standard theorem-proof approach, the text presents many examples and instructional illustrations to help students develop a robust, intuitive understanding of the underlying concepts. The authors' website also offers the illustrations for download and includes Mathematica(R) code and other ancillary materials. Praise for the Second Edition: "... quite appropriate for students in engineering and computer graphics as well as in mathematics. It is well written and the examples are carefully chosen to motivate or exemplify the topic at hand. ... Recommended." -J.R. Burke, CHOICE, September 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." -CMS Notes, February 2006 "[The] mixture of linear algebra, geometry, and numerical aspects is very interesting and will probably stimulate the students." -Bulletin of the Belgian Mathematical Society, December 2005 "Teaching computer graphics and mathematics in the study program Digital Media, I have found Practical Linear Algebra to be precisely the kind of book I've long been looking for. It covers all topics that are vital for computer graphics, even gives lots of applications in that field, including for instance PostScript, and does so in a very practical but nonetheless rigorous manner. I find many elements of my own teaching in this book, including the hand-made style of drawings (rendering them more 'hands-on'), using a geometric shape to illustrate the action of a 2x2 matrix, and deriving the determinant from the computation of areas and volumes instead of plainly presenting a formula. I have recommended this book strongly to all students in my first-year courses and will continue to do so." -Jorn Loviscach, University of Applied Sciences Bremen "I was impressed with the applications, especially those related to computer graphics. ... I think some faculty will be interested in using the book because the geometric descriptions and applications are very nice." -Linda Patton, Cal Poly San Luis Obispo "I just purchased your book ... and I immediately fell in love with it. I love the nice illustrations and diagrams, which are very helpful in promoting an intuitive understanding of every concept. I am a clinician investigator at the National Institutes of Health who is conducting MRI research of the heart. My main interest is finite deformation of the heart muscle structures; however, since I do not have an engineering background, I have been looking for a nice textbook on linear algebra." -Hiroshi Ashikaga, Nation

Książka "Practical Linear Algebra"
Gerald Farin; Dianne Hansford