Celestial mechanics is a classical mathematical topic that is usually presented to students in post-calculus courses. This text is suitable for a one-semester course on this subject, and is aimed at students of mathematics, physics, engineering and related sciences. The author shows, in a real-world context, how the tools of calculus, many invented specifically for use in celestial mechanics, can be put into immediate use. He introduces such topics as Fourier series, Laplace and Bessel functions and classical potential theory.
The Sheer Joy of Celestial Mechanics
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Editorial Reviews
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"...As a whole the book is a good contribution to the literature and might be well used for an introductory course in celestial mechanics."
--American Mathematical Society
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9 of 10 people found the following review helpful:
5.0 out of 5 stars
Nice to own a good math book of this type,
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This review is from: The Sheer Joy of Celestial Mechanics (Hardcover)
I had read some of this book as a library book first and wanted it for my own! It isn't obvious from the title that it is a MATH BOOK at first, but considering it does say "Mechanics", there is a hint. It is a very good review of that part of math that one may not get in a regular Physics schooling or Math degree. It truly covers the stuff that is involved with plantery orbits (and even their perturbations), ie: Rotating Coordinates, Central Forces and Inverse Square Law. Fourier series, Bessel and Legendre functions and other studies of classical potential theory are a main theme. Grossman builds upon a students knoledge of calculus and develops towards his love of celestial mechanics as a study of love of the joy of applicable mathematics. J.E. Lear
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Inside This Book
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First Sentence:
We want to look first at some geometric aspects of motion without paying any attention to the causes of motion or to the physical laws that might govern the motion. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
homogeneous ellipsoid, areal velocity, bounded orbit, central force field, distant mass, polar equation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Newton's Law of Universal Gravitation, Kepler's Second Law, Kepler's Third Law, Bonnet's Theorem, Bertrand's Theorem, Sciacci's Theorem, Ivory's Theorem, Oxford University Press, Second Edition New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We want to look first at some geometric aspects of motion without paying any attention to the causes of motion or to the physical laws that might govern the motion. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
homogeneous ellipsoid, areal velocity, bounded orbit, central force field, distant mass, polar equation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Newton's Law of Universal Gravitation, Kepler's Second Law, Kepler's Third Law, Bonnet's Theorem, Bertrand's Theorem, Sciacci's Theorem, Ivory's Theorem, Oxford University Press, Second Edition New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 15
books:
See all 15 books this book cites
5
books
cite this book:
- Gargantua and Pantagruel (Great Books of the Western World, Vol. 24) by Francois Rabelais in Front Matter
- The Theory of Relativity: & Other Essays by Albert Einstein on page 58
- Aubrey's Brief Lives (Nonpareil Books, No 77) by John Aubrey in Front Matter
- Ellipsoidal Figures of Equilibrium by S. Chandrasekhar in Front Matter
- Non-standard Analysis by Abraham Robinson on page 1
See all 15 books this book cites
- Raumflugmechanik: Dynamik und Steuerung von Raumfahrzeugen (German Edition) by Wolfgang Steiner in Back Matter
- Numerical Analysis for Statisticians by Kenneth Lange in Front Matter
- Sherlock Holmes in Babylon and Other Tales of Mathematical History (Spectrum) by Marlow Anderson on page 273
- Approximation Theory, Volume Volume 1 (Journal of Computational and Applied Mathematics, Volume 121, Numbers 1-2, 1 September 2000) by L. Wuytack on page 71
- Foundations of Logic and Mathematics by Yves Nievergelt in Back Matter
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