Authors: June Barrow-Green

Description: Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.

Langue: en

Publisher: American Mathematical Soc.

Categories: Biography & Autobiography

Authors: Victor G. Szebehely

Description: Descripción del editor: "Theory of Orbits: The Restricted Problem of Three Bodies is a 10-chapter text that covers the significance of the restricted problem of three bodies in analytical dynamics, celestial mechanics, and space dynamics. The introductory part looks into the use of three essentially different approaches to dynamics, namely, the qualitative, the quantitative, and the formalistic. The opening chapters consider the formulation of equations of motion in inertial and in rotating coordinate systems, as well as the reductions of the problem of three bodies and the corresponding streamline analogies. These topics are followed by discussions on the regularization and writing of equations of motion in a singularity-free systems; the principal qualitative aspect of the restricted problem of the curves of zero velocity; and the motion and nonlinear stability in the neighborhood of libration points. This text further explores the principles of Hamiltonian dynamics and its application to the restricted problem in the extended phase space. A chapter treats the problem of two bodies in a rotating coordinate system and treats periodic orbits in the restricted problem. Another chapter focuses on the comparison of the lunar and interplanetary orbits in the Soviet and American literature. The concluding chapter is devoted to modifications of the restricted problem, such as the elliptic, three-dimensional, and Hill's problem. This book is an invaluable source for astronomers, engineers, and mathematicians ". Academic Press.

Langue: en

Publisher:

Categories: Science

Authors: Lunds universitet. Observatoriet

Description:

Langue: en

Publisher:

Categories: Astronomy

Authors: E.A. Fellmann

Description:

Langue: de

Publisher: Springer-Verlag

Categories: Language Arts & Disciplines

Authors: Hans Salié

Description: Keine ausführliche Beschreibung für "Lieferung 1" verfügbar.

Langue: de

Publisher: Walter de Gruyter GmbH & Co KG

Categories: Reference

Authors: Baoshu

Description: Situé dans l’univers de la trilogie du Problème à trois corps, La Rédemption du temps prolonge la saga multiprimée de Liu Cixin. Publié avec la bénédiction du maître, le roman de Baoshu met en scène les conséquences du conflit opposant l’Humanité et les Trisolariens. Un exemple de ce que la fan fiction peut produire de mieux.

Langue: fr

Publisher: Éditions Actes Sud

Categories: Fiction

Authors:

Description:

Langue: de

Publisher:

Categories: Astronomy

Authors: British Association for the Advancement of Science. Meeting

Description:

Langue: en

Publisher:

Categories: Science

Authors: F. Tisserand

Description:

Langue: fr

Publisher:

Categories:

Authors: Félix Tisserand

Description:

Langue: fr

Publisher:

Categories:

Authors:

Description:

Langue: fr

Publisher:

Categories:

Authors: François Tisserand

Description:

Langue: fr

Publisher:

Categories: Celestial mechanics

Authors: François Tisserand

Description:

Langue: fr

Publisher:

Categories: Celestial mechanics

Authors: British Association for the Advancement of Science

Description:

Langue: en

Publisher:

Categories: Science

Authors: Royal Society (Great Britain)

Description:

Langue: en

Publisher:

Categories: Classification

Authors:

Description:

Langue: fr

Publisher:

Categories: Periodicals

Authors: Jeremias David Reuss

Description:

Langue: fr

Publisher:

Categories: Science

Authors: Paolo Freguglia ,Mariano Giaquinta

Description: This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is immersed in the challenge of theory building. We see what the founders were doing, the difficulties they faced, the mistakes they made, and their triumphs. The authors guide the reader through these works with instructive commentaries and complements to the original proofs, as well as offering a modern perspective where useful. The authors begin in 1697 with Johann Bernoulli’s work on the brachystochrone problem and the events leading up to it, marking the dawn of the calculus of variations. From there, they cover key advances in the theory up to the development of Lagrange’s δ-calculus, including: • The isoperimetrical problems • Shortest lines and geodesics • Euler’s Methodus Inveniendi and the two Additamenta Finally, the authors give the readers a sense of how vast the calculus of variations has become in centuries hence, providing some idea of what lies outside the scope of the book as well as the current state of affairs in the field. This book will be of interest to anyone studying the calculus of variations who wants a deeper intuition for the techniques and ideas that are used, as well as historians of science and mathematics interested in the development and evolution of modern calculus and analysis.

Langue: en

Publisher: Birkhäuser

Categories: Mathematics

Authors: British Association for the Advancement of Science. Meeting

Description:

Langue: en

Publisher:

Categories: Science

Authors: Reuss

Description:

Langue: fr

Publisher:

Categories: