### Jordan (Marie Ennemond Camille)

## Cours d'Analyse

de l'École Poytechnique. Troisième edition, revue et corrigé.

**Description:**
3 vols, half-title to vol. i slightly stained, a slight tendency to browning,
pp. xv, 620; [vi], 705; [vi], 631, [1], 8vo,
uniform contemporary deep maroon backed boards, vellum tips to corners, spine of vol. ii a trifle rubbed, good

**Publication Details:**
Paris: Gauthier-Villars, 1909-15

**Notes:** 'Jordan is best remembered today among analysts and topologists for his proof that a simply closed curve divides a plane into exactly two regions, now called the Jordan curve theorem. It was only his increased understanding of mathematical rigour which made him realise that a proof of such a result was necessary. He also originated the concept of functions of bounded variation and is known especially for his definition of the length of a curve. These concepts appears in his Cours d'analyse de l'École Polytechnique first published in three volumes between 1882 and 1887. The second edition appe...more'Jordan is best remembered today among analysts and topologists for his proof that a simply closed curve divides a plane into exactly two regions, now called the Jordan curve theorem. It was only his increased understanding of mathematical rigour which made him realise that a proof of such a result was necessary. He also originated the concept of functions of bounded variation and is known especially for his definition of the length of a curve. These concepts appears in his Cours d'analyse de l'École Polytechnique first published in three volumes between 1882 and 1887. The second edition appeared in 1893 while the Jordan curve theorem appeared in the third edition of the text which appeared between 1909 and 1915.'Of course by 1882, when the first volume was published, Jordan was lecturing at the École Polytechnique and the book was written as a text for the students there. In some respects this is a little strange since it is a rigorous analysis text built on top of the attempts to put the topic on a firm foundation begun by Cauchy and given considerable impetus by Weierstrass. However, the courses at the École Polytechnique were supposed to train students to become civil and military engineers and this does not seem to be the approach which one would take trying to teach applications of the calculus to engineers. There had been a tradition of rigorous analysis at the École Polytechnique begun, of course, by Cauchy himself. Jordan was aware that his work was at a level that would be somewhat inappropriate for engineering students for he once said to Lebesgue that he called it "École Polytechnique analysis course" since:-... one puts that on the cover to please the publisher...' (Mactutor). **HIDE**

**Enquire about this book****
**

**Price:** £500

**Subject:** Sciences

**Published Date:** 1909-15

**Stock Number:** 58978

(Your basket is currently empty)