Calculus: one and several variables
by Hille, Einar, Salas, Saturnino L., Etgen, Garret J.
"We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can't be such a thing as a 'biggest number.' Or can there? To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers…
"A bold and all-embracing exploration of the nature and progress of knowledge from one of today's great thinkers. Throughout history, mankind has struggled to understand life's mysteries, from the mundane to the seemingly miraculous. In this important new book, David Deutsch, an…
The essays in the first part of this book examine historical issues from a systematic point of view. The contributors focus on the Cappadocian Fathers, Thomas Aquinas, Leibniz, Kant, Hegel, Bolzano, and Cantor. The second part deals with particular issues concerning the relation…
Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. Here, Ian Stewart di…
"Beginning from the notion of finite life, Another Finitude takes this staple subject from post-Heideggerian philosophy and opposes it to the onto-theological concept of infinity, represented by an eternal absolute. Although critical of Heidegger and his definition of finitude a…
Alexander R. Pruss examines a large family of paradoxes to do with infinity - ranging from deterministic supertasks to infinite lotteries and decision theory. Having identified their common structure, Pruss considers at length how these paradoxes can be resolved by embracing cau…
Prsentación del editor: "Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many rea…
Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result…