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Linear and Geometric Algebra
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Thanks for telling us about the problem. Return to Book Page. This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics.
And geometric algebra does much more. Geometric algebra and its extension t This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas.
They provide a unified mathematical language for many areas of physics, computer science, and other fields. This is a second printing, corrected and slightly revised. His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues.
Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors. Get A Copy. Paperback , pages. More Details Friend Reviews. To see what your friends thought of this book, please sign up.
To ask other readers questions about Linear and Geometric Algebra , please sign up. Be the first to ask a question about Linear and Geometric Algebra. Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Average rating 4. Rating details. More filters. Sort order. Start your review of Linear and Geometric Algebra. Oct 27, Lorraine Weis rated it really liked it Shelves: textbooks. Straight forward introduction to Geoemetric algebra, for people who are comfortabler with mathematical language.
While it also gives a good, clear foundation for linear algebra, the language is probably a little dense for most lower level undergrad classes. Andrew Ashworth rated it liked it Apr 26, Paul rated it it was amazing May 21, Yaser Khan rated it really liked it Nov 27, Randy rated it it was amazing Jan 05, Viet Trinh rated it it was amazing Jan 28, Brandon Brown rated it really liked it Nov 30, Alessandro Andrioni rated it really liked it Aug 10, Matthew rated it it was amazing Mar 07, Ronnie Dickson rated it really liked it Sep 24, Jonathan Creekmore rated it liked it Feb 03, Terry rated it really liked it Feb 07, Jandle Bearer rated it really liked it Oct 05, Randy LeJeune rated it it was amazing May 09, Charley Atchley rated it it was amazing Feb 09, Middlethought rated it it was amazing Aug 05, Rebcabin rated it liked it Sep 09, A Lynch rated it it was amazing Jun 26, Mark rated it liked it Dec 25, Christopher T rated it it was amazing Oct 21, Joseph Frias rated it really liked it Feb 24, Vlad Korolev rated it it was amazing Sep 28, Paul Sampson rated it really liked it Aug 13, Jim rated it really liked it Oct 30, Lauren rated it it was amazing Mar 21, Robert rated it did not like it Aug 04, McBanana rated it it was amazing Jan 14, Stockfish rated it it was amazing Mar 17, Utensil rated it really liked it Jun 18, Tgb rated it it was amazing Aug 18, There are no discussion topics on this book yet.
About Alan MacDonald. Alan MacDonald. Books by Alan MacDonald. Listen up, because our colleagues here at Goodreads have some excellent audiobook recommendations for you! Of course, the books they've Read more Trivia About Linear and Geomet No trivia or quizzes yet. Welcome back. Just a moment while we sign you in to your Goodreads account.
A Survey of Geometric Algebra and Geometric Calculus
This paper is an introduction to geometric algebra and geometric calculus, presented in the simplest way I could manage, without worrying too much about completeness or rigor. An understanding of linear algebra and vector calculus is presumed. This should be sufficient to read most of the paper. This is a preview of subscription content, access via your institution. Rent this article via DeepDyve.
Alan Macdonald, Geometric Algebra :. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas, including linear algebra, multivariable calculus, real analysis, complex analysis, and euclidean, noneuclidean, and projective geometry. They provide a unified mathematical language for physics classical and quantum mechanics, electrodynamics, relativity , the geometrical aspects of computer science e. Differential geometry, geometric algebra etc — geometry algebra. Differential forms formalism Clifford Algebra formalism References. Differential forms formalism Flanders, Differential forms Flanders is a wildly popular classic available for cheap used Frankel, the geometry of physics Frankel attempts to update Flanders, trading slightly improved pedagogy for slightly more physics focus.
Mathematically, a geometric algebra may be defined as the Clifford algebra of a vector space with a quadratic form. Clifford's contribution was to define a new product, the geometric product, that united the Grassmann and Hamilton algebras into a single structure. Adding the dual of the Grassmann exterior product the "meet" allows the use of the Grassmann—Cayley algebra , and a conformal version of the latter together with a conformal Clifford algebra yields a conformal geometric algebra CGA providing a framework for classical geometries. The scalars and vectors have their usual interpretation, and make up distinct subspaces of a GA. Bivectors provide a more natural representation of the pseudovector quantities in vector algebra such as oriented area, oriented angle of rotation, torque, angular momentum, electromagnetic field and the Poynting vector.
Alan Macdonald. Luther College, Decorah, IA The principal argument for the adoption of geometric algebra is that it provides a single, The current versions of aidshealing.org and aidshealing.org are available at the book's website and are.
Download Alan Macdonald-linear And Geometric Algebra (2010)_cropped
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An Introduction to Clifford Algebras and Spinors. Oxford University Press, Paperback, pp. Price GBP
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Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. The title of the question already says it all but I would like to add that I would really like the book to be more about geometric algebra than its applications : it should contain theorems' proofs. Just adding that I have never taken a course on geometric algebra. I'm a 2nd year engineering student, so a "beginner" book style will be very good!!!
Вы этого не сделаете! - крикнул Хейл. - Я все расскажу. Я разрушу все ваши планы.