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For the sciences that depend on higher maths, a Calculus book worth mention is "Elementary Calculus: An Infinitesimal Approach", by Jerome Keisler. One thing th
by Qem 4y ago
For the sciences that depend on higher maths, a Calculus book worth mention is "Elementary Calculus: An Infinitesimal Approach", by Jerome Keisler. One thing that makes learning Calculus harder than necessary is the clumsy epsilon and delta formalism, that became sort of the COBOL of Calculus teaching. This formalism is not the intuitive approach Newton and Leibniz used to develop Calculus, based on infinitesimals, that was shunned later because it took time until Abraham Robinson made it rigorous in the 1960s. The book by Keisler showcases nicely a way to improve higher math education, if academia had less inertia. The author made the entire book available for free online: https://people.math.wisc.edu/~keisler/calc.html https://people.math.wisc.edu/~keisler/calc.html See also: https://en.wikipedia.org/wiki/Nonstandard_analysis https://en.wikipedia.org/wiki/Nonstandard_analysis