Bøker av Ivor Grattan-Guinness

He charts the growth of mathematics through its refinement by ancient Greeks and then medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. This book describes the evolution of arithmetic and geometry, trigonometry and algebra; the interplay between mathematics, physics, and mathematical astronomy; and "new" branches such as probability and statistics. Authoritative and comprehensive, The Rainbow of Mathematics is a unique account of the development of the science that is at the heart of so many other sciences. Originally published under the title The Norton History of the Mathematical Sciences.

This book contains around of a score of essays that examine oruse Popperís fallibilist philosophy of science from various pointsof view. The opening sextet includes a new solution of theproblem of induction, the status of corroboration, and the placeof truth-values and logic(s). Then follow a trio of studies ofrelationships with some other philosophies, especially BertrandRussellís. Next come five essays on the history andhistoriography of science and mathematics, and of mathematicseducation. They are followed by a quintet of speculations relatingto aspects of psychology, especially psychical research,coincidences and the formation of languages in humans. Finallycome two new items: one on the philosophy of mathematics,the other a public acknowledgement of the influence of Popperin August 2009 when the International Commission on theHistory of Mathematics awarded Grattan-Guinness theKenneth O. May Medal and Prize in the History of Mathematics.I. Grattan-Guinness is Emeritus Professor of the History ofMathematics and Logic at Middlesex University, England,and also a Visiting Research Associate in the Centre forPhilosophy of Natural and Social Science at the LondonSchool of Economics.