David Acheson: The Calculus Story | Buch

Cover: 9780198804543 | The Calculus Story | A Mathematical Adventure | David Acheson | Buch

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

David Acheson is a British applied mathematician, best known for his popular maths book 1089 and All That (OUP, 2010), which has been translated into 11 languages. He is an Emeritus Fellow of Jesus College, Oxford, and was Oxford University's first winner of a National Teaching Fellowship, in 2004. He was President of the Mathematical Association for 2010-11, and now lectures widely on mathematics to young people and the general public. In 2013, David Acheson was awarded an Honorary [...] by the University of East Anglia for his outstanding work in the popularisation of mathematics.

Inhaltsverzeichnis

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

References

Further Reading

Index

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9780198804543
ISBN-10:	0198804547
Sprache:	Englisch
Einband:	Gebunden
Autor:	Acheson, David
Hersteller:	Oxford University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	203 x 139 x 25 mm
Von/Mit:	David Acheson
Erscheinungsdatum:	03.02.2018
Gewicht:	0,287 kg