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About this book :-
From Calculus to Chaos: An Introduction to Dynamics written by David Acheson
This text is introduction to some of the most interesting applications of calculus, from Newton's time to present day. These mainly involve questions of dynamics, i.e of how and why things change with time.
In taking a fresh appoach to the whole subject, this text may be suitable for a wide readership, including
• University Students of Mathematics and Science
• Readers who are preparing to take Univesity Course
• Mathematics and Science Teachers, in Schools and Universities.
• More Gerenal Readers who refuse to be put off by a few questions
Book Detail :-
Title: From Calculus to Chaos: An Introduction to Dynamics
Author(s): David Acheson
Publisher: Oxford University Press
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About Author :-
Author Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. His areas of interest are harmonic analysis (on both Euclidean space and Lie groups), differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".
David John Acheson is a British mathematician at Jesus College, Oxford. He was educated at Highgate School, King's College London (BSc Mathematics and Physics, 1967) and the University of East Anglia (PhD, 1971). He was appointed a Fellow in Mathematics at Jesus College, Oxford in 1977 and became an Emeritus Fellow in 2008. He served at President of the Mathematical Association from 2010 to 2011. He was awarded an Honorary Doctorate of Science from the University of East Anglia in 2013.
His early research was on geophysical and astrophysical fluid dynamics, beginning with the discovery in 1972 of a magnetic 'field gradient' instability in rotating fluids. In 1976, he discovered the first examples of wave over-reflection (i.e. reflection coefficient greater than unity) in a stable system. In 1978 his research focused on magnetic fields and differential rotation in stars, with new results on magnetic buoyancy, the Taylor instability, Goldreich-Schubert instability, and, 'magnetorotational' instability. In 1992 he discovered the 'upside-down pendulums theorem' (which is very loosely connected with the Indian Rope Trick).
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• The Calculus Story: A Mathematical Adventure, David Acheson
• From Calculus to Chaos: An Introduction to Dynamics by David Acheson
• 1089 and All That: A Journey Into Mathematics, David Acheson
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Book Contents :-
From Calculus to Chaos: An Introduction to Dynamics written by David Acheson cover the following topics.
2. A brief review of calculus
3. Ordinary differential equations
4. Computer Solution Methods
5. Elementary Oscillations
6. Planetary motion
7. Waves and Diffusion
8. The best of all possible worlds?
9. Fluid flow
10. Intability and catastrophe
11. Nonlinear Oscillations and Chaos
12. The not so simple pendulum
Appendix A, Elementary Programming in QBasic
Appendix B, Ten Programs for exploring Dynamics
Solutions of Exercises
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