The Three-Body Problem and the Equations of Dynamics: Poincar?'s Foundational Wo

Description: The Three-Body Problem and the Equations of Dynamics by Bruce D. Popp, Henri Poincaré In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations solutions, such as orbital resonances and horseshoe orbits. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating. Back Cover Here is an accurate and readable translation of a seminal article by Henri Poincar Author Biography Bruce D. Popp is an ATA-certified translator for French into English with a BA in physics from Cornell University and a PhD in astrophysics from Harvard University. He is also a U.S. Patent and Trademark Office registered patent agent. As a professional translator, he performs premium-quality translations of scientific and technical documents, especially patent applications. As an independent scholar, he is applying his love of astrophysics, mathematics and French to understanding the work of Henri Poincaré. Table of Contents Translators Preface.- Authors Preface.- Part I. Review.- Chapter 1 General Properties of the Differential Equations.- Chapter 2 Theory of Integral Invariants.- Chapter 3 Theory of Periodic Solutions.- Part II. Equations of Dynamics and the N-Body Problem.- Chapter 4 Study of the Case with Only Two Degrees of Freedom.- Chapter 5 Study of the Asymptotic Surfaces.- Chapter 6 Various Results.- Chapter 7 Attempts at Generalization.- Erratum. References.- Index. Review "In the work under review, Popp, a professional translator, has produced an English translation of Poincarés monograph. … This book will be most appropriate for readers with an expressed interest in the history of mathematics and physics or dynamical systems. Summing Up: Recommended. Upper-division undergraduates and above; researchers and faculty." (M. D. Sanford, Choice, Vol. 55 (4), December, 2017) Review Quote "In the work under review, Popp, a professional translator, has produced an English translation of Poincar Feature Provides a clear and accurate translation of Poincar Details ISBN3319850121 Translator Bruce D. Popp ISBN-10 3319850121 ISBN-13 9783319850122 Format Paperback DEWEY 515.39 Pages 248 Language English Year 2018 Publication Date 2018-07-28 Translated from French Series Astrophysics and Space Science Library Short Title The Three-Body Problem and the Equations of Dynamics Series Number 443 UK Release Date 2018-07-28 Country of Publication Switzerland Publisher Springer International Publishing AG Imprint Springer International Publishing AG Place of Publication Cham Illustrations 9 Illustrations, black and white; XXII, 248 p. 9 illus. Author Henri Poincaré Edition Description Softcover reprint of the original 1st ed. 2017 Subtitle Poincarés Foundational Work on Dynamical Systems Theory Alternative 9783319528984 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:119010489;

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