The Three-Body Problem and the Equations o...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

Provides a clear and accurate translation of Poincaré's work, making it accessible to English-speaking readers who want to study and understand his thinking

Includes Poincaré's entire classic, so readers can hear Poincaré's own, compelling voice, explore the details and form their own opinions

The translator's preface identifies key concepts and their location in the book, facilitating the selection of specific sections for further attention

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2017
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	272
Reihe:	Astrophysics and Space Science Library
Inhalt:	xxii 248 S. 9 s/w Illustr. 248 p. 9 illus.
ISBN-13:	9783319528984
ISBN-10:	331952898X
Sprache:	Englisch
Herstellernummer:	978-3-319-52898-4
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Poincaré, Henri
Übersetzung:	Popp, Bruce D
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Astrophysics and Space Science Library
Maße:	241 x 160 x 21 mm
Von/Mit:	Henri Poincaré
Erscheinungsdatum:	22.05.2017
Gewicht:	0,576 kg

preigu-id: 109144903