Three-Body Problem and the Equations of Dynamics

Poincaré’s Foundational Work on Dynamical Systems Theory

AvHenri Poincaré

Inbunden, Engelska, 2017

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2017-05-22
Mått:155 x 235 x 22 mm
Vikt:562 g
Format:Inbunden
Språk:Engelska
Serie:Astrophysics and Space Science Library
Antal sidor:248
Upplaga:17001
Förlag:Springer International Publishing AG
ISBN:9783319528984
Originaltitel:Sur le problème des trois corps et les équations de la dynamique
Översättare:Bruce D Popp, Bruce D. Popp

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Mer om författaren

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.

Recensioner i media

“In the work under review, Popp, a professional translator, has produced an English translation of Poincaré’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)

Innehållsförteckning

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.