Mathematics and the Physical World [NOOK Book]

Overview



Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations and non-Euclidean geometries. Also describes how math is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, other phenomena. 147 illustrations.
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Mathematics and the Physical World

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Overview



Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations and non-Euclidean geometries. Also describes how math is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, other phenomena. 147 illustrations.
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Product Details

  • ISBN-13: 9780486136318
  • Publisher: Dover Publications
  • Publication date: 2/16/2012
  • Series: Dover Books on Mathematics
  • Sold by: Barnes & Noble
  • Format: eBook
  • Pages: 496
  • Sales rank: 1,189,550
  • File size: 7 MB

Table of Contents

1: THE WHY AND WHEREFORE
2: DISCOVERY AND PROOF
3: THE SCIENCE OF ARITHMETIC
4: THE DEEPER WATERS OF ARITHMETIC
5: "NUMBERS, KNOWN AND UNKNOWN"
6: THE LAWS OF SPACE AND FORMS
7: THE DIMENSIONS OF THE HEAVENLY SPHERES
8: THE REVOLUTIONS OF THE HEAVENLY SPHERES
9: THE SCIENTIFIC REVOLUTION
10: THE WEDDING OF CURVE AND EQUATION
11: EXPLANATION VERSUS DESCRIPTION
12: VERTICAL MOTION
13: MOTION ON AN INCLINED PLANE
14: THE MOTION OF PROJECTILES
15: FROM PROJECTILE TO PLANET AND SATELLITE
16: DEDUCTIONS FROM THE LAW OF GRAVITATION
17: MORE LIGHT ON LIGHT
18: THE MATHEMATICS OF OSCILLATORY MOTION
19: OSCILLATIONS OF THE AIR
20: OLD FOES WITH NEW FACES
21: MATHEMATICAL OSCILLATIONS OF THE ETHER
22: THE DIFFERENTIAL CALCULUS
23: THE INTEGRAL CALCULUS
24: DIFFERENTIAL EQUATIONS-THE HEART OF ANALYSIS
25: FROM CALCULUS TO COSMIC PLANNING
26: NON-EUCLIDEAN GEOMETRIES
27: MATHEMATICS AND NATURE
INDEX
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