Portal de Periódicos da CAPES

A Historical Gem from Vito Volterra

1990; Taylor & Francis; Volume: 63; Issue: 4 Linguagem: Inglês

10.1080/0025570x.1990.11977525

1930-0980

William Dunham,

Mathematical and Theoretical Analysis

Sometime during the junior or senior year, most undergraduate mathematics students first examine the theoretical foundations of the calculus. Such an experience-whether it's called analysis, advanced calculus, or whatever introduces the precise definitions of continuity, differentiability, and integrability and establishes the logical relationships among these ideas. A major goal of this first analysis course is surely to consider some standard examples-perhaps of a pathological nature-that reveal the superiority of careful analytic reasoning over mere intuition. One such example is the function defined on (0,1] by