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All the Mathematics You Missed by Lori Pedersen, Thomas A. Garrity

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Chapter 2

and δ Real Analysis

Basic Object:

The Real Numbers

Basic Maps:

Continuous and Differentiable Functions

Basic Goal:

The Fundamental Theorem of Calculus

While the basic intuitions behind differentiation and integration were known by the late 1600s, allowing for a wealth of physical and mathematical applications to develop during the 1700s, it was only in the 1800s that sharp, rigorous definitions were finally given. ...

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