Geometric Algebra for Physicists Anthony Lasenby, Chris Doran
Publisher: Cambridge University Press

As DSM notes below, I am not after the cross product calculation, but the geometric product calculation as found in geometric algebra. New qualifications in English language, English literature, maths, biology, chemistry, physics, combined science, geography and history are due to be introduced in England in September 2015, with teenagers sitting the first exams in the The new maths GCSE features advanced algebra, statistics, ratio, probability and geometry, while those students who choose to take geography will undertake two different types of fieldwork which will be assessed in an exam. I also agree with @Muphrid, that Geometric Algebra should be actually preferred as the language for modern physics, instead of differential forms. Geometric algebra, or Clifford algebra, is a powerful mathematical language that contains vector algebra as a subsystem. According to Yovetitch, students are required to complete algebra, biology and geometry courses before enrolling in a regular physics class. So, I'm looking for some valid reasons why this This connection is, on the one hand, natural (a 4-year old can tell a circle from an oval from a square) and, on the other hand, deep (geometry is the indispensible apparatus of classical mechanics and other physics). Anyway, as a first year physics undergrad, it's been a real pain to find any decent, really decent lecture courses, despite being at Cambridge, where there is an actual Clifford Algebra research group. It provided a way to understand the complex mathematical objects arising from the study of differential equations in physics by converting the difficult problems in geometry and topology into more amenable algebra. In the realms of notebook paper, creativity is hunted down like an infection. While a was a full-time physics and maths student, i seldom, if ever, thought of proving anything using a diagram, or any kind of non-algebraic method, for that matter. It is much clearer and familiar. Analytic geometry could be moved into Algebra II – and there would be time as the “review” of solving systems wouldn't be needed as there wouldn't be the year off. What geometric product calculation?