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Mathematical Methods in Science /
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.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
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| Colección: | Anneli Lax new mathematical library.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Pólya, George. | |
| 245 | 1 | 0 | |a Mathematical Methods in Science / |c George Pólya. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource | ||
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| 490 | 1 | |a Anneli Lax New Mathematical Library ; |v v. 26 | |
| 500 | |a Title from publishers bibliographic system (viewed on 30 Jan 2012). | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 8 A Word to the Perceptive Reader9 Newton�s Problem of a Comet�s Path -- SECTION 3 SUCCESSIVE APPROXIMATION -- 1 First Application -- 2 Extraction of Square Roots -- SECTION 4 NEWTON�S METHOD OF SUCCESSIVE APPROXIMATION -- 1 The General Method of Newton -- 2 Newton�s Formula -- 3 �a -- 4 3�a -- 5 5�a -- CHAPTER 2. From the History of Statics -- SECTION 1 STEVINUS AND ARCHIMEDES -- 1 Inclined Plane -- 2 Lever -- SECTION 2 VECTORS -- 1 Inclined Plane -- 2 Pulley -- 3 Lever -- 4 Archimedes' Application of his Law of the Lever | |
| 505 | 8 | |a 5 (�) · (�) = (+)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? | |
| 505 | 8 | |a 5 Uniform Circular Motion: Hamilton's Hodograph6 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 | |
| 505 | 8 | |a 7 Ratio of Escape and Orbital VelocitiesCHAPTER 4. Physical Reasoning in Mathematics -- CHAPTER 5. Differential Equations and Their Use in Science -- SECTION 1 FIRST EXAMPLES -- 1 Rotating Fluid -- 2 Galileo: Free Fall -- 3 Catenary -- 4 Fall with Friction -- SECTION 2 APPROXIMATE FORMULAE: POWER SERIES -- Introduction -- 1 Calculation of 3â?š28 -- 2 Fall with Friction Again -- 3 How Deep is a Well? -- 4 Pendulum: Small Oscillations -- SECTION 3 PHYSICAL ANALOGY -- SECTION 4 WHAT IS A DIFFERENTIAL EQUATION? -- 1 Example -- 2 Vector Fields | |
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Science |x Mathematics. | |
| 650 | 2 | |a Mathematics | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 6 | |a Sciences |x Mathématiques. | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Science |x Mathematics |2 fast | |
| 758 | |i has work: |a Mathematical methods in science (Work) |1 https://id.oclc.org/worldcat/entity/E39PCG7dMdrQwGgcBHvF6mMkWC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Pólya, George. |t Mathematical Methods in Science. |d Washington : Mathematical Association of America, ©2014 |z 9780883856260 |
| 830 | 0 | |a Anneli Lax new mathematical library. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330396 |z Texto completo |
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