The Winding Trail to Newton's Principia Mathematica

Jed Z. Buchwald, Mordechai Feingold

• Publisher: Princeton University Press
• Year: 2026
• Print ISBN:
  9780691287799
  9780691287782
• eBook ISBN:
  9780691289908
• Topic: History
• Subtopic: History & Philosophy of Mathematics
• Index: History

An intellectual biography of the seventeenth-century masterwork that set down the laws of motion and universal gravitation and ushered in modern physics

Long regarded as one of the most important works in the history of science, Isaac Newton’s Principia laid the mathematical foundations of classical mechanics, planetary motion, and the laws of gravity. Jed Buchwald and Mordechai Feingold trace the long, wandering path by which these groundbreaking ideas took shape—beginning with the brilliant insights of a newly minted Cambridge BA and culminating in the publication of Newton’s magnum opus in 1687.

Drawing on fresh perspectives from Newton’s manuscripts and related documents, Buchwald and Feingold situate him firmly within the vibrant scientific milieu of mid-seventeenth-century Cambridge. They explore the interactions with mentors and other contemporaries, emphasizing Newton’s distinctive approach to linking motion with the emerging, new mathematics of the era. What develops is a portrait of a restless young scholar, prone to diving deep into a subject only to lose interest, until a letter, a conversation, or a visit would rekindle his interest. For nearly two decades prior to Edmond Halley’s pivotal visit in 1684, Newton engaged only sporadically with celestial mechanics. In a narrative of fits and starts, Buchwald and Feingold show how, inspired or assisted by figures such as Isaac Barrow, Robert Hooke, John Flamsteed, and Halley, Newton gradually refined his ideas into what would become one of the most revolutionary books ever written.

Table of contents

• Cover Page
• Title Page
• Copyright Page
• Contents
• List of Illustrations
• Acknowledgments
• Abbreviations
• Introduction
• 1. The First Nineteen Years Revisited
• 2. The Undergraduate
• 3. The Birth of a Mathematician
• 4. Collisions
• 5. The Bouncing Ball
• 6. Newtonian Force Emerges
• 7. The Reluctant Cosmologist: Newton and Keplerian Astronomy
• 8. Letters from a Former Critic
• 9. Prelude to De motu
• 10. De motu
• 11. Weight, Bulk, and Comets
• 12. The Hooke-Newton Contretemps
• 13. Envoi
• Appendix A. Huygens and Hooke on the Conical Pendulum
• Appendix B. The Ellipse
• Bibliography
• Index