The mysteries of adaequare: A vindication of fermat

Maxima and Minima Without Derivatives?

“…There was also a contentious debate with Descartes, detailed in [9] which also details variations in Fermat's approaches. See [2,5] for more on the sub sequent development of the derivative. Summarizing, certain basic ideas of the dif ferential calculus can be found in Fermat's work but there is no trace of the abstract setting needed to define the concept of derivative, as later developed by Newton and Leibniz.…”

Rubik’s for Cryptographers

“…A more detailed graphic representation may be found in Figure 4. 21 The key remark, due to Robinson, is that the limit in the A-approach and the standard part function in the B-approach are essentially equivalent tools. More specifically, the limit of a sequence (u n ) can be expressed, in the context of a hyperreal enlargement of the number system, as the standard part of the value u H of the natural extension of the sequence at an infinite hypernatural index n = H. Thus, (20) lim…”

Das Leben Fermats

“…Jahrhundert an der Universität Or-7 Eine einigermaßen befriedigende Würdigung des wissenschaftlichen Werks Fermats würde den Rahmen dieses Aufsatzes sprengen. Der Leser findet eine detaillierte Diskussion in den Aufsätzen und Monographien [1,8,9,14,22,23,26,27,28,32,35,38,42,46,56,57,58,59]. So kompetent deren Autoren die Mathematik Fermats analysieren, so unzuverlässig sind sie fast alle (Catherine Goldstein ausgenommen), wenn sie Angaben zu Fermats Biographie oder zum zeitgeschichtlichen, sozialen oder religiösen Hintergrund von Fermats Leben machen.…”