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The Three-Body Problem and the Equations of Dynamics : Poincare's Foundational Work on Dynamical Systems Theory - Henri Poincare

The Three-Body Problem and the Equations of Dynamics

Poincare's Foundational Work on Dynamical Systems Theory

By: Henri Poincare, Bruce D Popp (Translator)

Paperback Published: 5th June 2019
ISBN: 9783319850122
Number Of Pages: 248

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Here is an accurate and readable translation of a seminal article by Henri Poincare 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, Poincare 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.

Poincare 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.

Industry 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)

ISBN: 9783319850122
ISBN-10: 3319850121
Series: Astrophysics and Space Science Library
Audience: General
Format: Paperback
Language: English
Number Of Pages: 248
Published: 5th June 2019
Publisher: Springer
Dimensions (cm): 23.5 x 15.49  x 1.45
Weight (kg): 0.39

Earn 577 Qantas Points
on this Book