Calculus 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. David Acheson charts the historical development of calculus and takes readers through the basic ideas, step by step.
Calculus 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. David Acheson charts the historical development of calculus and takes readers through the basic ideas, step by step.
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 D.Sc by the University of East Anglia for his outstanding work in the popularisation of mathematics.
Inhaltsangabe
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
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
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