Mathematics and the Physical World - Brossura

Kline, Morris

Brossura

ISBN 10: 0486241041 ISBN 13: 9780486241043

Casa editrice: Dover Pubns, 1981

Riassunto

"Kline is a first-class teacher and an able writer. . . . This is an enlarging and a brilliant book." ― Scientific American
"Dr. Morris Kline has succeeded brilliantly in explaining the nature of much that is basic in math, and how it is used in science." ― San Francisco ChronicleSince the major branches of mathematics grew and expanded in conjunction with science, the most effective way to appreciate and understand mathematics is in terms of the study of nature. Unfortunately, the relationship of mathematics to the study of nature is neglected in dry, technique-oriented textbooks, and it has remained for Professor Morris Kline to describe the simultaneous growth of mathematics and the physical sciences in this remarkable book. In a manner that reflects both erudition and enthusiasm, the author provides a stimulating account of the development of basic mathematics from arithmetic, algebra, geometry, and trigonometry, to calculus, differential equations, and the non-Euclidean geometries. At the same time, Dr. Kline shows how mathematics is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, and other phenomena. Historical and biographical materials are also included, while mathematical notation has been kept to a minimum.
This is an excellent presentation of mathematical ideas from the time of the Greeks to the modern era. It will be of great interest to the mathematically inclined high school and college student, as well as to any reader who wants to understand ― perhaps for the first time ― the true greatness of mathematical achievements.

Su questo libro

Contenuti:

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

Product Description:

Book by Kline Morris

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 1981
• ISBN 10: 0486241041
• ISBN 13: 9780486241043
• Rilegatura: Copertina flessibile
• Numero di pagine: 496