Macdonald does not show off how much more he knows about this topic than you do. The linear algebra material in this book was well known to me from my undergraduate courses, and I use most of it regularly in physics; still I (re)learned a great deal about.

Linear and Geometric Algebra by Alan Macdonald. Geometric algebra and its extension to geometric calculus simplify, unify, and generalize vast areas of mathematics that involve geometric ideas. Geometric algebra is an extension of linear algebra. The treatment of many linear algebra topics is enhanced by geometric algebra, for example, determinants and orthogonal transformations. And geometric algebra does much more, as it incorporates the complex, quaternion, and exterior algebras, among others. I commend Alan Macdonald for his excellent book! 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.

Geometric algebra (based on Clifford algebra) - Leo Dorst, Daniel Fontijne, Intelligent Autonomous Systems, University of Amsterdam. Geometric algebra is a very convenient representational and computational system for geometry. We firmly believe that it is going to be the way computer science deals with geometrical issues. Companion site to the book Geometric Algebra For Computer Science, An Object Oriented Approach to Geometry (Morgan Kaufmann). The Grassmann Algebra Book - John Browne. This is the companion site for the book Grassmann Algebra: Exploring extended vector algebra with Mathematica and for the Mathematica-based software package GrassmannAlgebra. Geometric Algebra and Geometric Calculus playlists - Alan Macdonald, Luther College. Tutorial on Clifford's Geometric Algebra playlist - Chris Squibb. Lectures by Eckhard Hitzer.

Alan Macdonald's selected publications on Mathematics, Geometric Algebra, Foundations of Physics, Relativity, Quantum Theory, and Thermal Physics. Alan Macdonald is Professor Emeritus of Mathematics at Luther College in Decorah, Iowa. in mathematics from The University of Michigan in 1970.

Linear and Geometric Algebra book. Details (if other): Cancel. Thanks for telling us about the problem. Linear and Geometric Algebra.

and Geometric Calculus. Luther College, Decorah, IA 52101 USA macdonaler. My purpose is to demonstrate some of the scope and power of geometric algebra and geometric calculus. I will illustrate this for linear algebra, multivariable calculus, real analysis, complex analysis, and several geometries: euclidean, noneuclidean, projective, and conformal. I will also outline several applications. Geometric algebra is nothing less than a new approach to geometry.

Linear algebra: Introduction Proper linear algebra deals with vector spaces and linear transformations between them. It will rigorously develop the theory of nxn matrices and determinants and apply them to geometrical and algebraic contexts. dp/0130084514 This book offers a very modern introduction to linear algebra. Geometric algebra for computer science by Dorst, Fontijne, Mann This is an alternative for MacDonald. Don’t be turned down by computer science in the title, this is a really nice book that offers a lot of neat intuition on geometric algebra. It covers a lot more of Geometric algebra than MacDonalds book.

Alan Macdonald - 2012 - North Charleston, SC: CreateSpace. Linear Transformations in Unitary Geometric Algebra. Garret Sobczyk - 1993 - Foundations of Physics 23 (10):1375-1385. A Geometric Proof of the Completeness of the Łukasiewicz Calculus. Giovanni Panti - 1995 - Journal of Symbolic Logic 60 (2):563-578. Imaginary Numbers Are Not Real-The Geometric Algebra of Spacetime. Stephen Gull, Anthony Lasenby & Chris Doran - 1993 - Foundations of Physics 23 (9):1175-1201. An Einstein Addition Law for Nonparallel Boosts Using the Geometric Algebra of Space-Time. B. Tom King - 1995 - Foundations.

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