Answer by J. Ferreiros for Comparative analysis of history of mathematics
There is a lot of material on this topic, mostly scattered. But a good place to start is this book:The Architecture of Modern Mathematics, ed. J. Ferreiros & J. Gray. Oxford Univ Press, 2006.My...
View ArticleAnswer by Mikhail Katz for Comparative analysis of history of mathematics
With regard to "interplay between mathematics and philosophy", there is an important text by Nowak:Nowak, Gregory. Riemann's Habilitationsvortrag and the synthetic apriori status of geometry.The...
View ArticleAnswer by Grisha Taroyan for Comparative analysis of history of mathematics
I also found materials from this MIT course that seem reasonably close to my original question.
View ArticleAnswer by Fernando for Comparative analysis of history of mathematics
Moritz Eppleās book on the history of knot theory certainly fits the mold. It is in German, however. There are, of course, a great many individual articles as well.
View ArticleAnswer by tryst with freedom for Comparative analysis of history of mathematics
I know one book which does, it's called "Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World" which talks about how the infinitesimal was rejected to protect the political...
View ArticleAnswer by Franz Lemmermeyer for Comparative analysis of history of mathematics
Maarten Bullynck has studied relations between Lambert's philosophical ideas and his mathematics. See http://www.kuttaka.org/~JHL/About.html for a start.
View ArticleAnswer by Benedict Eastaugh for Comparative analysis of history of mathematics
Jeremy Gray has written a few things that might fit into this category, including the following.Plato's Ghost: The Modernist Transformation of Mathematics. The book's thesis is that "1890 to 1930 saw...
View ArticleAnswer by Carl-Fredrik Nyberg Brodda for Comparative analysis of history of...
An excellent and very recent comparative analysis (which addresses your first two bullet points) on the development of infinitesimal calculus has been done by Jacques Bair, Alexandre Borovik, Vladimir...
View ArticleAnswer by Trunk for Comparative analysis of history of mathematics
I am not sure but you should look at the works of Joan L. Richards who specializes in history of mathematics.
View ArticleAnswer by Timothy Chow for Comparative analysis of history of mathematics
I'm not aware of anything exactly like what you have in mind, but here are a few things which might be close. They all take aim at the widespread belief that the intellectual development of mathematics...
View ArticleAnswer by coudy for Comparative analysis of history of mathematics
Michel Serres, a French philosopher who passed away four years ago, wrote a book on the Origins of Geometry. He tried to understand when and how geometry arose in the ancient times.His style is...
View ArticleComparative analysis of history of mathematics
I am a bit scared about writing this question because I am unsure if it is appropriate. However, here it is.Is there anything written about the history of mathematics from a comparative or...
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