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Anachronisms in the History of Mathematics
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
The Development of Newtonian Calculus in Britain, 1700-1800
This book examines how calculus developed in Britain during the century following Newton.
Reading the Principia
The mathematical methods employed by Newton in the Principia stimulated much debate among contemporaries. This book explains how Newton addressed these issues, taking into consideration the values that directed his research. It will be of interest to researchers and students in history and philosophy of science, physics, mathematics and astronomy.
Isaac Newton on Mathematical Certainty and Method
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably...
Civil Religion
Civil Religion offers philosophical commentaries on more than twenty thinkers stretching from the sixteenth to the twentieth century. It examines four important traditions within the history of modern political philosophy. The civil religion tradition, principally defined by Machiavelli, Hobbes and Rousseau, seeks to domesticate religion by putting it solidly in the service of politics. The liberal tradition pursues an alternative strategy of domestication by seeking to put as much distance as possible between religion and politics. Modern theocracy is a militant reaction against liberalism, reversing the relationship of subordination asserted by civil religion. Finally, a fourth tradition is defined by Nietzsche and Heidegger. Aspects of their thought are not just modern, but hyper-modern, yet they manifest an often-hysterical reaction against liberalism that is fundamentally shared with the theocratic tradition. Together, these four traditions compose a vital dialogue that carries us to the heart of political philosophy itself.
The History of Mathematics: A Source-Based Approach
The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.
Matters of the Heart
The heart is the most symbolic organ of the human body. Across cultures it is seen as the site of emotions, as well as the origin of life. This book traces the ways emotions have been understood between the 17th and 19th centuries as both physical entities and spiritual experiences.
The Cambridge History of Science: Volume 3, Early Modern Science
An account of European knowledge of the natural world, c.1500-1700.
Machiavelli and Empire
Mikael Hörnqvist challenges us to rethink the overall meaning and importance of Machiavelli's political thinking. Machiavelli and Empire combines close textual analysis of The Prince and The Discourses with a broad historical approach, to establish the importance of empire-building and imperial strategy in Machiavelli's thought. The primary context of Machiavelli's work, Hörnqvist argues, is not the mirror-for-princes genre or medieval and Renaissance republicanism in general, but a tradition of Florentine imperialist republicanism dating back to the late thirteenth-century, based on the twin notions of liberty at home and empire abroad. Weaving together themes and topics drawn from contemporary Florentine political debate, Medicean ritual and Renaissance triumphalism, this study explores how Machiavelli in his chancery writings and theoretical works promoted the long standing aspirations of Florence to become a great and expanding empire, modelled on the example of the ancient Roman republic. This is a distinctive and important work.
