The OLDEST Maths Books in Oxford

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: 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.
Check your working using the Maple Calculator App - available for free on Google Play and the App Store.
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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: Findi...
Classifying critical points using the method of the discriminant: • Oxford Calculus: Class...
Partial differentiation explained: • Oxford Calculus: Parti...
Second order linear differential equations: • Oxford Mathematics Ope...
Integrating factors explained: • Oxford Calculus: Integ...
Solving simple PDEs: • Oxford Calculus: Solvi...
Jacobians explained: • Oxford Calculus: Jacob...
Separation of variables integration technique explained: • Oxford Calculus: Separ...
Solving homogeneous first order differential equations: • Oxford Calculus: Solvi...
Taylor’s Theorem explained with examples and derivation: • Oxford Calculus: Taylo...
Heat Equation derivation: • Oxford Calculus: Heat ...
Separable Solutions to PDEs: • Oxford Calculus: Separ...
How to solve the Heat Equation: • Oxford Calculus: How t...
Fourier Series Derivation: • Oxford Calculus: Fouri...
Find out more about the Maple Calculator App and Maple Learn on the Maplesoft KZbin 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: www.seh.ox.ac.uk/people/tom-c...
For more maths content check out Tom's website tomrocksmaths.com/
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
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[@adamphilip1623]

James' outfit is awesome, literally exactly how I'd imagine an Oxford librarian 😂

[@ShayWestrip]

People named Tom should stay out of the restricted section of the library

[@Samriddha_Chatterjee]

Man of culture I see.

[@RamBahadur-lo1or]

I dont get the reference

[@Samriddha_Chatterjee]

It's Harry Potter

[@RamBahadur-lo1or]

@Samriddha Chatterjee Ahh, Tom Riddle yeah?

[@subhaanbaseer5101]

Tom Riddle for people who don’t know

[@peterhall6656]

Sydney University Library has a copy of Newton's Principia with a note from Newton in it to Roger Cotes who edited the work. I was allowed to touch it so I can say I have touched something that Newton touched!

[@juandavidrodriguezcastillo9190]

hi from Colombia, I'm studing physics but i wanna make a double titulation with mathematics and probably make my Phd on dynamical systems or stadistical mechanis, i am really thankfull to this channel for keep me falling in love with math every day, and also for help me with my english

[@WilliamPembertonBrown]

Literally couldnt care less about maths and yet here I am. Dudes vids are genienuly interesting and this certainly is. Keep up the good work.

[@Danny-ql2it]

Thank you so much for sharing this incredibly inspiring video. Seeing the evolution of knowledge and feeling sort of in touch with the greats of the past moved me emotionally and actually got me excited to continue studying and feed my curiosity.

[@RC32Smiths01]

Quite the history man! Nothing like it, I bet! Thank you for this!

[@sofilove...20]

Thanks for sharing this incredible video Tom...

[@cardinal3728]

Wow, it is so awesome! Thank you for showing us this

[@colinsmith6480]

would love to see more, thank you for the short visit

[@cs543]

Very interesting, thanks for sharing it, I'd love to see more of that game of logic!

[@threeholepunchmike3549]

That game started to sound like a logic puzzle for a second, I know that sounds dumb but the rules sounded like clues in logic puzzle games. When he started saying pigs being fat. Emperors being dentists lol

[@markwalton3706]

Hi Tom - thanks for this wander through your college library ... surprised James didnt handle all of the books with gloves but he knows best...

[@LargePuddle]

Interestingly, the oils in your hands actually benefit old books, because the paper was made to be handled. Also, gloves can make you more clumsy, and more likely to tear a delicate page.

[@RadicalPersonalFinance]

So cool!

[@muhammadabdurrahim752]

What a neat video!

[@archivist17]

32:37 James remembers there's a camera, and it's not just a convivial chat with a charming mathematician.

[@peter_roth_8812]

Thank you for let us having a glimpse into the holy Oxford math library. Frozen urine and its various crystals in comparison with snowflakes, refreshingly concrete. Love illustrated science books.

[@aguyontheinternet8436]

I wanna travel to oxford now.

[@phenixorbitall3917]

Prof. could you please one day make a video about how to use log tables? It would interest me how people computed before we hat calculators and computers. 🙂 But only if you want that of course. 👍

[@Deegius]

When I first worked as an engineer we used slide rules to calculate generally and log tables for more complex calcs. Both use the same method and is so simple, log tables just need he ability to add up. So during my working life we've gone from tables to spreadsheets,

[@davidjackson2114]

It's a dying skill, I used log tables and slide rules (which are effectively the same thing) at school and struggled to explain them to a teenage staff member when she asked about them. They were so easy to use but without access to a log table book or slide rule fifty years later I couldn't prove how easy it was

[@archivist17]

I can't remember what I was taught about log tables back in the 70s. Wish I could. But I remember the wonderful word, 'mantissa'

[@aguyontheinternet8436]

I have JUST the video for you :D check out _"The History of the Natural Logarithm - How was it discovered?"_ by _Terek Said_

[@foobar1500]

For actual log tables the primary use was to convert multiplications to additions, especially when calculations where done manually (but slide rules mechanised that, of course). For a larger numbers it's pretty obvious that complexity of addition is much lower than multiplication, and looking up an entry on a table is pretty quick in comparison... Practical use is really not particularly complicated. So, for a multiplication, look up log values of multiplicands from the table, add them up, and look up reverse logarithm value from the table, and you have the result of the multiplication. With subtraction you get division. In practice you would need to scale numbers to fit a fixed range and scale them back, but that is also just shifting the decimal point and addition. One would also be able to compute squares by multiplying the log value by two and looking up the reverse, or taking a square root similarly by dividing by two, etc.

[@mustachioisbae]

Missed opportunity to make the qr code tattoo a rick roll

[@threeholepunchmike3549]

That game started to sound like a logic puzzle for a second, I know that sounds dumb but the rules sounded like clues in logic puzzle games. When he started saying pigs being fat. Emperors being dentists lol

[@phenixorbitall3917]

Cool! :)

[@anveshsharma9753]

Please solve JEE ADVANCE maths paper ❤

[@alanmon2690]

I read a book a few years ago wherein the two protagonists (male and female) bonded because of their love of Lewis Carroll's syllogisms....

[@andresguerrero4359]

part 2

[@user-er7fk5ij9y]

Wow treasure

[@shriyad2003]

very cool:)

[@delicatedirector3694]

at 3:27 what does Sottish education was more forward looking mean?

[@passingoutinasec1172]

Those circles and triangles look relatively easy than those in GCSE syllabus lol, made me feel less guilty of how bad I am with them

[@janeenright8450]

That is an incredibly long T-shirt

[@pointermom7641]

My first thought as well.

[@shamshadb152]

21,17,,,,,,,

[@Saurabhmaths1999]

Love from India

[@energy-tunes]

crazy to think how calculus still didnt formally exist when that euclids element copy was made

[@MariadeLourdesAniesSanch-ze7hf]

when win...I guess He but I try study

[@Pdecort]

Surely he should be wearing gloves!

[@LargePuddle]

Interestingly, the oils in your hands actually benefit old books, because the paper was made to be handled. Also, gloves can make you more clumsy, and more likely to tear a delicate page.

[@muggedinmadrid]

The Greeks were the 1st ones to write about maths ? Really ? I must have hallucinated the sumerians having laid the foundations and mastered maths several thousand years before the Greeks.

[@Madmax-jg7kw]

Western history is a lie, they dont talk about sumerian or islamic civilisation

[@slhermit]

should have not touched these books with fingers. You might have transferred sweat n residual fat onto the pages.

[@shayanchamas60]

If he's talking about books, he needs to speak louder. Didn't understand half the things he said cause of the volume. Some of these books are fascinating but were presented poorly by this guy. Thanks Tom for giving us a glimpse though

[@aguyontheinternet8436]

He isn't trying to talk to us, he's trying to talk to Tom. You're lucky to hear anything at all

[@ImDoubleDelight]

Many books in that library have more than just one volume though... So the change in sound is expected.

[@Rubrickety]

It's sad that "Oxford Maths Professor" continues to be represented by this kind of hoary stereotype.

[@johnryskamp2943]

If you want to see another use of Carroll's puzzles, see Weekland by Godard.

[@johnryskamp2943]

Sorry, Weekend.

[@Ivan-jy3ou]

I don’t feel comfortable when he touches the book with no delicate 😂