Grassmann Algebra Volume 1: Foundations: Exploring extended vector algebra with Mathematica
| Author | : | |
| Rating | : | 4.38 (623 Votes) |
| Asin | : | 1479197637 |
| Format Type | : | paperback |
| Number of Pages | : | 588 Pages |
| Publish Date | : | 2015-03-06 |
| Language | : | English |
DESCRIPTION:
. He is now a partner at Riverstone Holdings, and is the author of the memoir Beyond Business and of Seven Elements That Changed the World. He holds degrees from Cambridge and Stanford Universities, was knighted in 1998, and made a life peer in 2001. About the Author John Browne was the CEO of BP from 1995 to 2007, which he transformed into one of the world's largest companies. He was the president of the Royal Academy of Engineering and is a fellow of the Royal Society, a foreign member of the American Academy of Arts and Sciences, and the
A Watershed Event William B. The publication of this book, Grassmann Algebra by John Browne, is a watershed event. According to the author, "the focus of these books [a second volume on applications is in preparation] is to provide a readable account in modern notation of Grassmann's major algebraic contributions to mathematics and science." I believe that the author has succeeded in realizing his goal. The only background required is linear algebra.For those who have never heard of Grassmann Algebra, let me address this question: as a subject, is Hermann Grassmann's algeb. Dann Passoja said A thorough treatment of Grassman's Algebra plus interactive software. Today, Grassman's Algebra has come into its own after languishing for too many years in obscurity. Grassman's Algebra is also known as "Algebraic Geometry" meaning that it's possible to work out geometric relationships by means of algebra. There are many new concepts in this algebra, especially those that involve dimension. It's very nice to have everything in one place when something like this emerges because it's a pleasure to have a readable and good reference book. Something that's not mentioned that's of an enormous benefit is a CD that is. Looking forward to Volume 2! DN It has been said that unless you can program the computer to calculate something, you don't really understand the concept behind such calculation. The author, having written Mathematica programs to calculate just about every conceivable Grassmann algebraic concept, is well-positioned to explain Grassmann algebra in clear details. I have read much of his book on-line a few years ago, but am glad to have my own copy now.
This enables the theory to be cross-checked with computational explorations. The pair behaves a little like the Boolean duals of union and intersection. If to these we introduce Clifford's invention of a scalar which squares to zero, we can define entities (for example dual quaternions) with which we can perform elaborate transformations. For example quaternion algebra is simply the Grassmann algebra of scalars and bivectors under a new product operation. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be defined. Some familiarity with basic linear algebra may however be useful. There is something fascinating about the beauty with which the mathematical structures t
John Browne was the CEO of BP from 1995 to 2007, which he transformed into one of the world's largest companies. He holds degrees from Cambridge and Stanford Universities, was knighted in 1998, and made a life peer in 2001. He is now a partner at Riverstone Holdings, and is the author of the memoir Beyond Business and of Seven Elements That Changed the World. . He was the president of the Royal Academy of