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Colin Maclaurin: History of Mathematics

Autor Olivier Bruneau
en Limba Engleză Paperback – 5 dec 2026
This book is the first intellectual biography of Colin Maclaurin to appear in English. It traces the development of his mathematical thought through three major phases of his career: an early period shaped primarily by geometry, a second period centered on algebraic methods, and a final period of synthesis in which he engaged deeply with Newton's method of fluxions and fluents. Maclaurin's scientific work was closely intertwined with the social and intellectual life of eighteenth-century Scotland and Great Britain. Through both his mathematical achievements and his extensive network of personal and scholarly connections, he actively promoted a practical and dynamic form of Newtonianism closely linked to the advancement of his country. At the same time, Maclaurin was far more than a mere follower of Newton. This book shows how he emerged as one of the most important interpreters and defenders of Newtonian science while also transforming and extending it. The book will appeal both to readers interested in the intellectual and cultural history of science and to those curious about the mathematics itself. While the historical and biographical discussions are accessible to any interested reader, the mathematical passages can be appreciated with no more than a high-school background in mathematics.
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Specificații

ISBN-13: 9781470478506
ISBN-10: 1470478501
Pagini: 268
Dimensiuni: 178 x 254 mm
Editura: American Mathematical Society
Colecția History of Mathematics
Seria History of Mathematics


Notă biografică

Olivier Bruneau, Archives Henri-Poincare - Philosophie et Recherches sur les Sciences et les Technologies, Nancy, France

Cuprins

  • Introduction
  • Maclaurin studies
  • Geometria Organica: His first major work
  • De Linearum Geometricarum Proprietatibus Generalibus Tractatus: An extension of the Geometria Organica?
  • The prize by the Royal Academy of Sciences in Paris on the Collision of Bodies of 1724
  • Maclaurin's Tour de France and his election as professor in Edinburgh: A key moment for his career
  • The Treatise of Algebra: A combination of commentaries on Newton's Arithmetica Universalis and original results
  • The George Campbell-Maclaurin controversy: A debate on algebra
  • The account of Sir Isaac Newton's philosophical discoveries: A posthumous tribute to Newton and an insightful commentary on Newton's Principia
  • Maclaurin's living conditions and his marriage to Anne Stewart
  • Memorial to the Commissioners of Excise Concerning the Mensuruation of Tuns or Backs: An example of Maclaurin's social commitment
  • The creation of the Philosophical Society of Edinburgh: Maclaurin as a driving force in Scotland's scientific life
  • His magnum opus: The Treatise of Fluxions
  • The Scheme for Providing an Annuity to Ministers' Widows and a Stock for their Children: Maclaurin as scientific guarantor
  • The defense of Edinburgh and Maclaurin's death
  • Epilogue
  • Archival sources
  • Bibliography
  • Index