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Is there any book that treats whole off geometry using vectors?
by billfruit 5y ago
Is there any book that treats whole off geometry using vectors?
- bmitc 5y agoI’m not sure I understand the question enough to answer. Do you mean something like differential geometry? There, the theory is built upon vectors and covectors (i.e., differential forms) that are associated with tangent spaces and cotangent spaces, respectively. But that is modern differential geometry and not classical geometry.
- billfruit 5y agoI was asking for a classical geometry book which is using a treatment using vectors. Usually classical geometry is treated without resorting to vectors.
- bmitc 5y agoI'm still not really sure what you mean. The most "modern" treatment of classical geometry that I know of is Geometry by Brannan, Esplen, Gray. It might be worth a look.
- billfruit 5y agoThat is still not using vectors as much. My question is if classical geometric problems can be solved using vectors, using vector concepts for example using cross products for area expressions?