Oxford Mathematician Dr Tom Crawford looks through some of the oldest maths textbooks at the University of Oxford with assistance from the @StEdmundHall Librarian James Howarth. Link for Maple Learn worksheet below.

Maple Learn worksheet on Parallelograms here: https://learn.maplesoft.com/doc/6p665...

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List of books covered in the video:
1. Euclid's "Elements"
2. William Leybourne's "Cursus Mathematicus"
3. Galileo's "System of the World"
4. Kepler's "On The Six-Angled Snowflake"
5. Robert Hooke's "Micrographia"
6. Isaac Newton's "Principia Mathematica"
7. Lewis Carroll's "The Game Of Logic"

Highlights include: Galileo's drawing of the heliocentric solar system with planets orbiting the sun; Robert Hooke's drawings of snowflakes seen under a microscope for the first time; and Lewis Carroll's game of logic meant to be played by children.

Some notes from James on the books.

Fol. C 8 Mathematical collections and translations: the first tome.
London: Printed by William Leybourn, MD CLXI [1661].
Translations of Galileo, Kepler etc. First volume only, almost all copies of vol. 2 destroyed in the Great fire of London.

Fol. O 13 William Leybourn Cursus Mathematicus, London: Printed for Thomas Basset, Benjamin Tooke, Thomas Sawbridge, Awnsham and John Churchill,1690
9 book, 900 page course in mathematics – tons of diagrams including practical ones for calculating field area or height of buildings etc. Full title is fun: Cursus mathematicus. Mathematical sciences, in nine books. : Comprehending arithmetick, vulgar, decimal, instrumental, algebraical. Geometry, plain, solid. Cosmography, cœlestial, terrestrial. Astronomy, theorical, practical. Navigation, plain, spherical.

4° G 18 (1-7) Sammelband of 7 mathematical pamphlets including Kepler on Snowflakes.
Two of the tracts we have the only copy in Oxford, two where it’s only us and the Box. Given by Timothy Goodwyn who transferred to Oxford from Leyden and became Bishop of Kildare.

JJ94, John Newton, The scale of interest: or The use of decimal fractions, and the table of logarithmes, in the most easie and exact resolving all questions in anatocism, or compound interest; with tables of simple interest also at 6. per cent. per annum. Together with their use in the measuring of board, timber, stone, and gauging of cask, &c. very necesary for all carpenters, joyners, masons, glasiers, and all tradesmen whatsoever.

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Don’t forget to check out the other videos in the ‘Oxford Calculus’ series – all links below.

Full playlist:    • Oxford Calculus  

Finding critical points for functions of several variables:    • Oxford Calculus: Finding Critical Poi...  

Classifying critical points using the method of the discriminant:    • Oxford Calculus: Classifying 2D Criti...  

Partial differentiation explained:    • Oxford Calculus: Partial Differentiat...  

Second order linear differential equations:    • Oxford Mathematics Open Day 2021: Dif...  

Integrating factors explained:    • Oxford Calculus: Integrating Factors ...  

Solving simple PDEs:    • Oxford Calculus: Solving Simple PDEs  

Jacobians explained:    • Oxford Calculus: Jacobians Explained  

Separation of variables integration technique explained:    • Oxford Calculus: Separation of Variab...  

Solving homogeneous first order differential equations:    • Oxford Calculus: Solving Homogeneous ...  

Taylor’s Theorem explained with examples and derivation:    • Oxford Calculus: Taylor's Theorem Exp...  

Heat Equation derivation:    • Oxford Calculus: Heat Equation Deriva...  

Separable Solutions to PDEs:    • Oxford Calculus: Separable Solutions ...  

How to solve the Heat Equation:    • Oxford Calculus: How to Solve the Hea...  

Fourier Series Derivation:    • Oxford Calculus: Fourier Series Deriv...  

Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel:    / @maplesoft  

Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-c...

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