The Geometry of Ellipses and Planetary Orbits

Lingua: inglese

Editore: Springer, Berlin, Weizmann Institute Of Science, Springer Sep 2026, 2026

3032262712 / 9783032262714

Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -This open access book is intended to give a bird's-eye view of ellipses and planetary orbits. The only background required is secondary-school Euclidean geometry, analytic geometry, and trigonometry. That doesn't mean that the theorems and proofs are easy; to the contrary, many are very challenging.Although Isaac Newton invented the calculus and used it to study motion, from the time of the Greeks, proof meant proof by geometry. The book contains Newton's detailed geometric proof of the inverse-square law of orbits, based on Conic Sections Treated Geometrically, a widely used textbook from the nineteenth century written by William H. Besant. An important feature of the book is the numerous diagrams that are much more detailed than those appearing in the textbooks from the nineteenth century.Turning to planetary orbits, the book presents Kepler's equation for computing the position, speed and direction of a planet in its orbit, followed by the computation of Lagrange points, which are points in the solar system where a spacecraft can be placed so that the period of its orbit is the same as the Earth's.The history of mathematics has (or should have) an important place in mathematics education. Euclid is well-known but mathematicians were equally familiar with Conics by Apollonius of Perga. Some of his results are given in modern notation, although the presentation is faithful to his style. In addition, Kepler's own geometric proof of his First Law is given.The final chapter presents challenging theorems on ellipses: the Steiner inellipse, Marden's Theorem, the theorems of Pascal and Brianchon, and Newton's Ellipse Theorem. 225 pp. Englisch.…

Titolo
The Geometry of Ellipses and Planetary Orbits
Autore
Mordechai Ben-Ari
Editore
Springer, Berlin, Weizmann Institute Of Science, Springer Sep 2026
Anno di pubblicazione
2026
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3032262712
ISBN 13
9783032262714
Dimensioni
235x155x35 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 15 giorni lavorativiDa 5 a 15 giorni lavorativi
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BuchWeltWeit Ludwig Meier e.K.

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