Mathematical methods in science [[electronic resource] /] / by George Polya; edited by Leon Bowden

• Record Nr.: UNINA9910465747703321
• Autore: Polya George
• Pubbl/distr/stampa: Washington, DC, : Mathematical Association of America, 1977
• ISBN: 0-88385-941-6
• Descrizione fisica: 1 online resource (247 p.)
• Collana: Anneli Lax New Mathematical Library ; ; 26
• Altri autori (Persone): BowdenLeon
• Disciplina: 530
• Soggetti: Mathematics; Science - Mathematics; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di contenuto: ""Front Cover""; ""Mathematical Methods in Science""; ""Copyright Page""; ""Contents""; ""INTRODUCTION""; ""CHAPTER 1. From the History of Astronomy: Measurement and Successive Approximation""; ""SECTION 1 MEASUREMENT""; ""1 The Tunnel""; ""2 Measuring: Triangulating""; ""3 How Far Away is the Moon?""; ""4 Why Teach Triangulation?""; ""SECTION 2 ASTRONOMICAL MEASUREMENTS""; ""1 Aristarchus of Samos""; ""2 Radius of Earth: Eratosthenes""; ""3 Rival Cosmologies""; ""4 The Orbit of Venus""; ""5 Tycho Brahe and Kepler""; ""6 The Mars Year""; ""7 The Orbit of Mars""; ""5 (â€?) · (â€?) = (+)""""6 Von Mises' Flight Triangle""; ""CHAPTER 3. From the History of Dynamics""; ""SECTION 1 GALILEO""; ""1 Heavier Bodies Fall Faster?""; ""2 Not ""Why?"", But ""How?""""; ""3 How do Heavy Bodies Fall?""; ""4 Dynamics of the Inclined Plane""; ""5 Conservation of Energy""; ""6 Law of Inertia""; ""7 A Cannon Ball's Trajectory""; ""SECTION 2 NEWTON""; ""1 Apples, Cannon Balls, and the Moon""; ""2 Never Smoke Without Fire""; ""3 That the Planets do Accelerate Towards the Sun""; ""4 What is the Law of Universal Gravitation?""; ""5 Uniform Circular Motion: Hamilton's Hodograph""""6 On Newton's Discovery of the Law of Universal Gravitation""; ""7 Scientific Attitude: Verification""; ""8 Hindsight and Foresight""; ""SECTION 3 THE PENDULUM""; ""1 The Dimensions Test""; ""2 Simple Pendulum's Time of Swing""; ""3 Determination of g by Pendulum Experiment""; ""4 The ; Conical Pendulum""; ""SECTION 4 ESCAPE VELOCITY""; ""1 Go-Around Velocity""; ""2 Apropos Go-Away Velocity""; ""3 The Force of Gravity""; ""4 That Kepler's Third Law is a Consequence of Newton's Law of Gravitation""; ""5 Planetary Mass""; ""6 Go-Away Velocity""; ""3 Direction Fields""
• Sommario/riassunto: If you have ever wondered how the laws of nature were worked out mathematically, this is the book for you. Above all, it captures some of Pólya's excitement and vision.