Kline Morris. Mathematics And the Physical World

London: John Murray, 1959. — 250 p.With clarity and wit, Morris Kline presents in this book the role of mathematics in science. Mathematics is man's greatest invention for the investigation of the physical world. It is the method by which scientists explore the implications of their basic principles; it provides plans for organizing our knowledge of the physical world; and it is the essence of our best-developed scientific theories. Mathematics is, in fact, gradually swallowing up science, and the reality of the physical world is barely perceptible in the mathematical structures called “scientific theories”.The Why and Wherefore
Discovery and Proof
The Science of Arithmetic
The Deeper Waters of Arithmetic
Numbers, Known and Unknown
The Laws of Space and Forms
The Dimensions of the Heavenly Spheres
The Revolutions of the Heavenly Spheres
The Scientific Revolution
The Wedding of Curve and Equation
Explanation Versus Description
Vertical Motion
Motion on an Inclined Plane
The Motion of Projectiles
From Projectile to Planet and Satellite
Deductions from the Law of Gravitation
More Light on Light
The Mathematics of Oscillatory Motion
Oscillations of the Air
Old Foes with New Faces
Mathematical Oscillations of the Ether
The Differential Calculus
The Integral Calculus
Differential Equations—The Heart of Analysis
From Calculus to Cosmic Planning
Non-Euclidean Geometries Mathematics and Nature Index