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Huygens and Barrow, Newton and Hooke : Pioneers in Mathematical Analysis and Catastrophe Theory From Evolvents to Quasicrystals by Vladimir I. Arnold is a nonfiction available to read on EtoBox.

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Translated From The Russian By E.j.f. Primrose Remarkable Little Book. -siam Review V.i. Arnold, Who Is Renowned For His Lively Style, Retraces The Beginnings Of Mathematical Analysis And Theoretical Physics In The Works (and The Intrigues!) Of The Great Scientists Of The 17th Century. Some Of Huygens' And Newton's Ideas. Several Centuries Ahead Of Their Time, Were Developed Only Recently. The Author Follows The Link Between Their Inception And The Breakthroughs In Contemporary Mathematics And Physics. The Book Provides Present-day Generalizations Of Newton's Theorems On The Elliptical Shape Of Orbits And On The Transcendence Of Abelian Integrals; It Offers A Brief Review Of The Theory Of Regular And Chaotic Movement In Celestial Mechanics, Including The Problem Of Ports In The Distribution Of Smaller Planets And A Discussion Of The Structure Of Planetary Rings. Huygens And Barrow, Newton And Hooke -- Ch. 1. The Law Of Universal Gravitation. 1. Newton And Hooke. 2. The Problem Of Falling Bodies. 3. The Inverse Square Law. 4. The Principia. 5. Attraction Of Spheres. 6. Did Newton Prove That Orbits Are Elliptic? -- Ch. 2. Mathematical Analysis. 7. Analysis By Means Of Power Series. 8

Who reads Huygens and Barrow, Newton and Hooke : Pioneers in Mathematical Analysis and Catastrophe Theory From Evolvents to Quasicrystals?

Author

Vladimir I. Arnold

Publisher

Birkhäuser Basel

Published

2012

Language

EN

ISBN

9783764323837

Category

nonfiction

Subjects

Mathematics, History, Stem