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daksh007
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Wed Jan 09, 2019 3:57 pm
Second, when undergraduate students first study mathematical analysis (sometimes described as ‘calculus done properly’),
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daksh007
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Wed Jan 09, 2019 3:58 pm
they often find it difficult to see the need for introducing the particular technicalities involved (such as ‘epsilons and deltas’).
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daksh007
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Wed Jan 09, 2019 3:58 pm
Looking at the original works of such mathematicians as D’Alembert, Cauchy, and Bolzano, helps us to understand how and why this particular approach arose
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daksh007
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Wed Jan 09, 2019 3:58 pm
Other reasons for studying original sources are that they’re fun to try to sort out, and that they provide contextual interest for students learning the material in their mathematics courses
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daksh007
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Wed Jan 09, 2019 3:58 pm
Jackie Stedall’s source book, ‘Mathematics Emerging’, in particular, reproduces the original works as they first appeared, followed by a translation into English (where needed) and a commentary.
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daksh007
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Wed Jan 09, 2019 3:58 pm
Charles Dodgson is better known as ‘Lewis Carroll’ the author of the ‘Alice’ books, and also as one of the best photographers of the Victorian era than as a mathematician.
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daksh007
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Wed Jan 09, 2019 3:59 pm
Oxford. as I explain in my book Lewis Carroll in Numberland, which written for a general audience and is one of the books I’ve most enjoyed writing
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daksh007
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Wed Jan 09, 2019 3:59 pm
Dodgson’s mathematical work covers several different areas.
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daksh007
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Wed Jan 09, 2019 3:59 pm
spending much of his time in teaching it to undergraduates and championing it in his popular book Euclid and his Modern Rivals.
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daksh007
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Wed Jan 09, 2019 3:59 pm
Dodgson was also keen on algebra, writing an innovative book on the theory of determinants,
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daksh007
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Wed Jan 09, 2019 4:00 pm
and one of his main ideas has become a topic of current research.
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daksh007
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Wed Jan 09, 2019 4:00 pm
He always enjoyed introducing his ideas on symbolic logic to adults and children alike
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daksh007
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Wed Jan 09, 2019 4:00 pm
And he was a pioneer in the theory of voting, on which he made substantial contributions which we would do well to adopt today.
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daksh007
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Wed Jan 09, 2019 4:00 pm
A supporter of proportional representation, he illustrated the deficiencies in our first-past-the-post and other voting systems, and his studies would have usefully informed the ‘alternative vote’ discussions in Britain a few years ago
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daksh007
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Wed Jan 09, 2019 4:00 pm
His mathematical work in all of these areas is the basis of a multi-authored volume which I’m currently in the process of editing.
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daksh007
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Wed Jan 09, 2019 4:01 pm
I chose this book of Mathematical Pamphlets because it includes a wide range of his mathematical writings and gives one a good idea of his approach to the subject. It is also a fun book to dip into!
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daksh007
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Wed Jan 09, 2019 4:01 pm
I first came across this book more than fifty years ago when I was still at school.
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daksh007
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Wed Jan 09, 2019 4:01 pm
It introduced me to a world of ‘fun’ mathematics, such as the different types of tessellation (tiling), the nets for making polyhedra, the sketching of interesting curves, and much else besides.
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daksh007
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Wed Jan 09, 2019 4:01 pm
It proved particularly valuable when I had to organise speech-day mathematical exhibitions for the visiting school parents
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daksh007
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Wed Jan 09, 2019 4:01 pm
Even now, I sometimes go back and re-read it just for fun – and if mathematics isn’t fun, then it’s not worth doing!
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daksh007
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Wed Jan 09, 2019 4:02 pm
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