Overview

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. 

Full Product Details

Author:   Henri Poincaré ,  Bruce D Popp
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2017
Volume:   443
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783319850122

ISBN 10:   3319850121
Pages:   248
Publication Date:   28 July 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   English

Table of Contents

Translator's Preface.- Author's 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. 

Reviews

In the work under review, Popp, a professional translator, has produced an English translation of Poincare's 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)

In the work under review, Popp, a professional translator, has produced an English translation of Poincar 's 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)

Author Information

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. 

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