The Development of Newtonian Calculus in Britain, 1700-1800


Book Description

This book examines how calculus developed in Britain during the century following Newton.




The History of the Priority Di∫pute between Newton and Leibniz


Book Description

This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!




Newton’s Physics and the Conceptual Structure of the Scientific Revolution


Book Description

Three events, which happened all within the same week some ten years ago, set me on the track which the book describes. The first was a reading of Emile Meyerson works in the course of a prolonged research on Einstein's relativity theory, which sent me back to Meyerson's Ident ity and Reality, where I read and reread the striking chapter on "Ir rationality". In my earlier researches into the origins of French Conven tionalism I came to know similar views, all apparently deriving from Emile Boutroux's doctoral thesis of 1874 De fa contingence des lois de la nature and his notes of the 1892-3 course he taught at the Sorbonne De ['idee de fa loi naturelle dans la science et la philosophie contempo raines. But never before was the full effect of the argument so suddenly clear as when I read Meyerson. On the same week I read, by sheer accident, Ernest Moody's two parts paper in the JHIof 1951, "Galileo and Avempace". Put near Meyerson's thesis, what Moody argued was a striking confirmation: it was the sheer irrationality of the Platonic tradition, leading from A vem pace to Galileo, which was the working conceptual force behind the notion of a non-appearing nature, active all the time but always sub merged, as it is embodied in the concept of void and motion in it




The History of the Calculus and Its Conceptual Development


Book Description

Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.




The Oxford Handbook of Berkeley


Book Description

The Oxford Handbook of Berkeley is a compendious examination of a vast array of topics in the philosophy of George Berkeley (1685-1753), Anglican Bishop of Cloyne, the famous idealist and most illustrious Irish philosopher. Berkeley is best known for his denial of the existence of material substance and his insistence that the only things that exist in the universe are minds (including God) and their ideas; however, Berkeley was a polymath who contributed to a variety of different disciplines, not well distinguished from philosophy in the eighteenth century, including the theory and psychology of vision, the nature and functioning of language, the debate over infinitesimals in mathematics, political philosophy, economics, chemistry (including his favoured panacea, tar-water), and theology. This volume includes contributions from thirty-four expert commentators on Berkeley's philosophy, some of whom provide a state-of-the-art account of his philosophical achievements, and some of whom place his philosophy in historical context by comparing and contrasting it with the views of his contemporaries (including Mandeville, Collier, and Edwards), as well as with philosophers who preceded him (such as Descartes, Locke, Malebranche, and Leibniz) and others who succeeded him (such as Hume, Reid, Kant, and Shepherd).




Landmark Writings in Western Mathematics 1640-1940


Book Description

This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field




Mathematical Time Capsules


Book Description

Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.




Foundations of Analysis


Book Description

This treatment develops the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed for students with one year of calculus, it features extended discussions of key ideas and detailed proofs of difficult theorems. 1991 edition.