A Very Short Calculus Course

Johan Hoffman (), Claes Johnson () and Anders Logg ()
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Johan Hoffman: New York University, Courant Institute of Mathematical Sciences
Claes Johnson: Chalmers University of Technology, Department of Computational Mathematics
Anders Logg: Chalmers University of Technology, Department of Computational Mathematics

Chapter 15 in Dreams of Calculus, 2004, pp 75-87 from Springer

Abstract: Abstract Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on in its conclusions, except that in the height the identity fades out of sight. (Goethe)

Keywords: Algebraic Equation; Average Velocity; Lipschitz Continuous Function; Primitive Function; Momentary Velocity (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-18586-1_15

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