Are there any series in mathematics which take a simlar approach to Spivak's differential geometry in other fields?
I am currently coming towards the end of the second volume and have greatly enjoyed being able to get a sense for the ideas and how he continually builds up on simple ideas such as the oscullating circle up to the modern definitions of curvature.
I would be particularly intested in seeing this approach applied to algebraic geometry, as it seems as though its history could shed much light on the development of modern algebra and to algebraic topology, whose very abstract definitions leave me wondering where they came from.