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Leonhard Euler and the Foundations of Celestial Mechanics

BuchGebunden
208 Seiten
Englisch
Springererschienen am02.11.20221st ed. 2022
For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics.mehr
Verfügbare Formate
BuchGebunden
EUR160,49
BuchKartoniert, Paperback
EUR160,49
E-BookPDF1 - PDF WatermarkE-Book
EUR149,79

Produkt

KlappentextFor example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics.
Details
ISBN/GTIN978-3-031-12321-4
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2022
Erscheinungsdatum02.11.2022
Auflage1st ed. 2022
Seiten208 Seiten
SpracheEnglisch
IllustrationenXXVIII, 208 p. 65 illus., 17 illus. in color.
Artikel-Nr.16567245

Inhalt/Kritik

Inhaltsverzeichnis
Stella Nova: Euler´s Study of Newtonian and Cartesian Physics.- Euler´s Grand Tour.- Watching the Northern Light: Basic Analysis of Celestial Mechanics.- Rhythms of the Sea: A Theory of Tides.- Beyond the Prussian Sky: Theories of Motion in the Solar System.- Cosmic Wanderers: Motion of Comets and Comet Tail Theory.mehr
Kritik
"The book is very readable ... . The technical material is patiently explained while assuming little background in the field ... . general readers who are looking for math history popularization will find some enjoyable passages ... . Thankfully, thorough references ensure that the book could serve as a useful entry point to the literature." (Viktor Blåsjö, zbMATH 1509.01004, 2023)mehr

Schlagworte

Autor

Dora Musielak is an aerospace scientist, the recipient of two NASA research fellowships and other honors. She is a Research Professor at the University of Texas in Arlington and teaches mathematical methods to graduate students in physics and engineering.
Dora Musielak is also a historian of mathematics and science. Her research focuses on both the lives of mathematicians and the scientific developments in the eighteenth and nineteenth centuries. A central topic of her scholarly exploration is the mathematical ideas that germinated and grew in Europe, starting with Euler and Lagrange, in order to discover how mathematics led to developments in physics and astronomy. Her research also includes the mathematical formulations for classical (Newtonian) and modern (Einsteinian) quantum mechanics. Dora Musielak is the author of Sophie's Diary (MAA Press), and her latest book published in Springer Biographies is a scholarly memoir of French mathematician Sophie Germain, describing her contributions to mathematics and her efforts to prove Fermat's Last Theorem. The present book is Dora Musielak's tribute to the blind mathematician who saw infinity.