The key to Newton's dynamics : the Kepler problem and the Principia : containing an English translation of sections 1, 2, and 3 of book one from the first (1687) edition of Newton's Mathematical principles of natural philosophy

著者

• Brackenridge, J. Bruce
• Newton, Isaac, Sir
• Rossi, Mary Ann

書誌事項

The key to Newton's dynamics : the Kepler problem and the Principia : containing an English translation of sections 1, 2, and 3 of book one from the first (1687) edition of Newton's Mathematical principles of natural philosophy

J. Bruce Brackenridge ; with English translations from the Latin by Mary Ann Rossi

University of California Press, c1995

• : cloth
• : paper

注記

Includes bibliographical references and index

内容説明・目次

巻冊次

: cloth ISBN 9780520200654

内容説明

While much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert. The Key to Newton's Dynamics clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of the Principia.

巻冊次

: paper ISBN 9780520202177

内容説明

While much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert. The Key to Newton's Dynamics clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of the Principia.

目次

PREFACE ACKNOWLEDGMENTS PART I * THE BACKGROUND TO NEWTON'S SOLUTION 1. A Simplified Solution: The Area Law, the Linear Dynamics Ratio, and the Law of Gravitation 2. An Overview of Newton's Dynamics: The Problem of the Planets and the Principia 3. Newton's Early Dynamics: On Uniform Circular Motion PART II * A GUIDED STUDY TO NEWTON'S SOLUTION 4. The Paradigm Constructed: On Motion,Theorems 1, 2, and 3 5. The Paradigm Applied: On Motion, Problems 1, 2, and 3 6. The Paradigm Extended: On Motion,Theorem 4 and Problem 4 PART III * THE REVISIONS AND EXTENSIONS TO NEWTON'S SOLUTION 7. The Principia and Its Relationship to On Motion: A Reference Guide for the Reader 8. Newton's Unpublished Proposed Revisions: Two New Methods Revealed 9. Newton's Published Recast Revisions:Two New Methods Concealed 10. Newton's Dynamics in Modem Mathematical Dress:The Orbital Equation and the Dynamics Ratios APPENDIX An English Translation of Sections 1, 2, and 3 of Book One from the First (1687) Edition of Newton's Mathematical Principles of Natural Philosophy NOTES REFERENCES INDEX TO THE GUIDED STUDY AND THE TRANSLATION GENERAL INDEX

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA26952605
• ISBN:
  • 0520200659
  • 0520202171
• LCCN: 95032978
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: lat
• 出版地: Berkeley
• ページ数/冊数: xiii, 299 p.
• 大きさ: 23 cm
• 分類:
  • NDC8 : 423
  • LCC : QB355
  • DC20 : 521/.3
• 件名:
  • LCSH : Kepler's laws
  • LCSH : Celestial mechanics