Advanced Calculus: A Geometric View Callahan James J.Pevná vazba
Advanced Calculus: A Geometric View Callahan James J.Pevná vazba A half-century ago, advanced calculus was a well-de?ned subject at the core of the undergraduate mathematics curriulum. Over time,…
Specifikacia Advanced Calculus: A Geometric View Callahan James J.Pevná vazba
Advanced Calculus: A Geometric View Callahan James J.Pevná vazba
A half-century ago, advanced calculus was a well-de?ned subject at the core of the undergraduate mathematics curriulum. Over time, certain aspects of the course came to be seen as more signi?cant--those seen as giving a rigorous foundation to calculus--and they - came the basis for a new course, an introduction to real analysis, that eventually supplanted advanced calculus in the core. The classic texts of Taylor 19], Buck 1], Widder 21], and Kaplan 9], for example, show some of the ways it was approached.
In fact, a bifurcation occurred. Advanced calculus did not, in the process, become less important, but its role in the curriculum changed. In one direction we got c- culus on n-manifolds, a course beyond the practical reach of many undergraduates; in the other, we got calculus in two and three dimensions but still with the theorems of Stokes and Gauss as the goal.
The latter
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