The Calculus Story: A Mathematical Adventure 1st Edition David Acheson

The Calculus Story: A Mathematical Adventure 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9780198804543,0198804547,9780192526724, 0192526723

Product details:

• ISBN-10: 0192526723
• ISBN-13: 9780192526724
• Author: 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.

Table contents:

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 Numbers18. 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

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