Would you buy a book on Clifford Algebra? I'm thinking of going self-employed. Some people I've spoken to consider this unwise; and have asked me to check if there's any demand for the product I wish to produce. I want to write a book on Clifford Algebra or "Geometric Algebra". Some of you know that it's a mathematical formalism that unifies quaternions, complex numbers, Plucker coordinates, and some other things. My perspective on CA is different from other books'. For instance, I'm not a fan of the idea that an element of a CA is a formal sum of vectors and scalars and bi-vectors. These formal summations are confusing, and I believe they can be done away with. I prefer the idea that an element of a CA is some kind of transformation. From a Lie theoretic point of view, there's a correspondence between Clifford Algebras and Spin groups. Another cool think I'd like to spell out in this book, is the connection between Clifford Algebras and Synthetic Geometry (this is the type of geometry that the Ancient Greeks did). I think each Clifford Algebra can be associated to a set of geometric construction tools (like compasses, straight-edges, set squares, protractors, etc.). I'd like to sell my book with a set of these tools. Ordinarily, these construction tools would be considered dull, but the connection with Clifford Algebra might make them invigorating. Thanks all. https://ift.tt/eA8V8J

I'm thinking of going self-employed. Some people I've spoken to consider this unwise; and have asked me to check if there's any demand for the product I wish to produce. I want to write a book on Clifford Algebra or "Geometric Algebra". Some of you know that it's a mathematical formalism that unifies quaternions, complex numbers, Plucker coordinates, and some other things. My perspective on CA is different from other books'. For instance, I'm not a fan of the idea that an element of a CA is a formal sum of vectors and scalars and bi-vectors. These formal summations are confusing, and I believe they can be done away with. I prefer the idea that an element of a CA is some kind of transformation. From a Lie theoretic point of view, there's a correspondence between Clifford Algebras and Spin groups. Another cool think I'd like to spell out in this book, is the connection between Clifford Algebras and Synthetic Geometry (this is the type of geometry that the Ancient Greeks did). I think each Clifford Algebra can be associated to a set of geometric construction tools (like compasses, straight-edges, set squares, protractors, etc.). I'd like to sell my book with a set of these tools. Ordinarily, these construction tools would be considered dull, but the connection with Clifford Algebra might make them invigorating. Thanks all.

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