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The Calculus Story: A Mathematical Adventure - David Acheson

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**About this book :- **
**The Calculus Story: A Mathematical Adventure ** written by
** David Acheson **

Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...

In The Calculus Story, David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step-by-step treatment, he demonstrates how to start doing calculus, from the very beginning.

(David Acheson)

**Book Detail :- **
** Title: ** The Calculus Story: A Mathematical Adventure
** Edition: **
** Author(s): ** David Acheson
** Publisher: ** Oxford University Press
** Series: **
** Year: ** 2018
** Pages: ** 209
** Type: ** PDF
** Language: ** English
** ISBN: ** 0198804547,9780198804543
** Country: ** US

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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.[4] 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 :- **
**The Calculus Story: A Mathematical Adventure ** written by
** David Acheson **
cover the following topics.

1. Introduction

2. The Spirit of Mathematics

3. Infinity

4. How Steep is a Curve?

5. Differentiation

6. Greatest and Least

7. Playing with Infinity

8. Area and Volume

9. Infinite Series

10. ‘Too Much Delight’

11. Dynamics

12. Newton and Planetary Motion

13. Leibniz’s Paper of 1684

14. ‘An Enigma’

15. Who Invented Calculus?

16. Round in Circles

17. Pi and the Odd Numbers

18. Calculus under Attack

19. Differential Equations

20. Calculus and the Electric Guitar

21. The Best of all Possible Worlds?

22. The Mysterious Number e

23. How to Make a Series

24. Calculus with Imaginary Numbers

25. Infinity Bites Back

26. What is a Limit, Exactly?

27. The Equations of Nature

28. From Calculus to Chaos

Further Reading

References for Quotations

Picture Credits

Index

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