Mechanism of the Heavens
by Mary Somerville
Publisher: J. Murray 1831
Number of pages: 710
The Mechanism of the Heavens (1831) was the first english language "rendition" of Pierre Simon Laplace's five volume Mécanique céleste. In this work Somerville, who was later known for her predition of the then undiscovered planets Neptune and Pluto, introduced continental mathematics to english speaking readers for the first time. This led to a revolution in mathematics in the UK, beginning at Cambridge University where the Mechanism of the Heavens became a standard text in courses on higher mathematics.
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by Ernest Brown, Clarence Shook - Cambridge University Press
The purpose of this volume is the development of methods for the calculation of the general orbit of a planet. We attempted to anticipate the difficulties which arise, by setting forth the various devices which may be utilized when needed.
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The notions of Hamiltonians and Lagrangians are as vital today as they were a century ago and anyone who aspires to a career in astronomy should be exposed to them. There are also items unique to astronomy to which an aspirant should be exposed.
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This book will bridge the gap between standard undergraduate treatments of celestial mechanics, which rarely advance beyond two-body orbit theory, and full-blown graduate treatments. A knowledge of elementary Newtonian mechanics is assumed.