Frontiers in the History of Science – serie
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7 produkter
Impossibility of Squaring the Circle in the 17th Century
A Debate Among Gregory, Huygens and Leibniz
Häftad, 2019
497 kr
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This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates …
Rise and Fall of the German Combinatorial Analysis
Häftad, 2022
607 kr
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This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the …
Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition
Häftad, 2022
607 kr
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A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the …
Ramified Surfaces
On Branch Curves and Algebraic Geometry in the 20th Century
Häftad, 2022
607 kr
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The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book …
World of the Abbaco
Abbacus Mathematics Analyzed and Situated Historically Between Fibonacci and Stifel
Av Jens Høyrup
Häftad, 2024
607 kr
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The abbacus was a thorough and complete system of arithmetical calculations, which saw its dawn in the Indian and Arabic tradition of the Middle Ages, but which was developed in its fully fledged aspects especially in Italy, between Genoa, Milan, Venice and the region of Umbria. In this monograph, …
Leibniz on the Foundations of the Differential Calculus
Av Richard T. W. Arthur, David Rabouin
Häftad, 2025
607 kr
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This monograph presents an interpretive essay on the foundations of Leibniz’s calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature …
Elysian Dialogues on the Infinite
Leibniz, Cantor, and Russell
Häftad, 2026
675 kr
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Using the creative fiction of conversations in the afterlife, this book presents a thorough exploration of the views of Georg Cantor, Gottfried Leibniz, and Bertrand Russell on the infinite. An unusual feature is that the vast majority of text is taken verbatim from the writings of these thinkers …