The Mathematicians' Library

The Mathematicians' Library § The Stacks

An online companion to The Mathematicians' Library by Thomas K. Briggs - order your copy here

About The Stacks

This archive serves as the official dynamic companion and digital appendix to the book The Mathematicians' Library. The intention is to bring the imaginary mathematicians' library one step closer to reality by stocking these webpages to the gills with information and resources relating to every publication encountered in the book, and a few more that didn't fit. That might take a while, though.

The URL for The Stacks, library.mathsy.space is a subdomain of mathsy.space, which is where I keep links to some of my other web projects.

About The Mathematicians' Library

Whilst The mathematicians' library is an imaginary repository of every book that has contributed to the development of one of humanity's oldest and most creative disciplines, The Mathematicians' Library is very real and available from any bookshop that deserves the name (and the real, tangible sort of library too). In the real book, Tom has picked publications from the imaginary library's shelves and written about as many of them as he could fit fit into the word limit. Between the covers of The Mathematicians' Library exist forty thousand years of maths history told through its books. As a hardback book, lavishly illustrated with full-colour images all the way through, it's definitely one for any mildly nerdy (or just open-minded) person's coffee table.

📖 Read The Mathematicians' Library

The Mathematicians' Library Archive builds upon the historical exploration of mathematical texts in The Mathematicians' Library, by Thomas K. Briggs, so to get the most out of this site you'll need a copy of the book! Get yours at...

About Thomas K. Briggs

Tom works with museums, galleries, and other heritage sector organisations to help them identify and communciate their mathematical connections to their audiences. If you're interested in this side of him you can find out more at tkbriggs.co.uk. Outside of work, he's a reader, a movie-watcher, a (very) amateur guitarist, and runs his local monthly MathsJam. He has also, along with his research partner Jason, set up the History and Mathematics in Education Network (HaMiEN). The HaMiEN aims to bring people together who are interested in exploring opportunities for history and mathematics to enrich teaching and learning in each others' classrooms (and elsewhere).

He's also the author of The Mathematicians' Library and the creator, developer and maintainer of The Stacks, and as it's very much not a paid position he'd be really grateful if you'd consider supporting the site in whatever way you can!

Help to build the library and fill The Stacks!

The Mathematicians' Library: The Stacks website is an ambitious, ongoing project that requires a lot of my free time to develop. If you'd like to contribute to its continued growth, there are various ways you can support. These fall into three broad catehories: letting people know that The Stack exists; donating your time; and sponsoring my time.

Let people know about The Stacks

Spread the word! The more people who know about The Stacks, the more people will interact with it, and positive engagement provides some of the motivation required to add more books! You could, for example:

  • Talk about it with someone!
  • Share a link to the site (or your favourite page so far) in a post on your social media platform of choice. Include the hastags #Maths and #History, and consider copying in Tom.
  • Add a permanent link to https:library.mathsy.space on your website or blog. If this was accompanied by some explanatory text, a mini (or maxi) favourable review, or why you care about it, then all the better.

Donate your time

A workload shared is a workload reduced for each individual involved by a function dependent on the amount of time each participant is willing and able to spend on it (you get the idea). Ways you could pick up a (metaphorical) shovel and muck-in include:

  • If you are aware of a good quality resource or activity that would (a) help someone explore a historical mathematical text and (b) is accessible online, suggest it!
  • Pick a book that's featured in The Mathematicians' Library but doesn't yet have an entry in The Stacks and write a page for it (get in touch with me before you start to make sure I'm not already working on it - a workload replicated is very much not a workload reduced!)

Sponsor me!

One of the difficulties with expanding The Stacks is that whilst my enthusiasm for doing so is massive, none of the various financial commitments associated with merely existing in the modern world accept enthusiasm as payment. This means that updating The Stacks needs to take place in my (already limited) 'free' time.

Unless...

Sponsoring an hour (or more) of my time means that I can justify taking an hour (or more) out of my working day to add to this resource. Some options for this include...

... but if you've got another idea to pitch please do get in touch.

Even a small tip via [Ko-fi link] is helpful and sends a clear message that I'm doing something good, but purchasing books via my Bookshop.org shop will also send a small 'thank you' my way!

Beyond these specific ways of supporting the ongoing development of The Mathematicians' Library: The Stacks, general encouragement is also very much appreciated: finding out that someone has found something here useful or interesting and actively wants more of it is highly motivating!

Frequently Asked Questions

Can I use these materials in my classroom?
Absolutely. All resources are free for teachers.

Roadmap

Here's a simple list of the books I plan to add to this website, and whether I've done so or not. See something you'd like me to add ASAP? You can help make it happen!

  • Introduction
    • Maths in Museums
    • History and Mathematics in Education Network (HaMiEN)
  • Is there something you think should be in the Introduction section but isn't listed here? Get in touch!

  • Chapter 1: The First 40,000 Years
    • Çatalhöyük wall paintings
    • 40,000 BCE: The Lebombo Bone
    • 20,000 BCE: The Ishango Bone
    • 1850 BCE: The Moscow Mathematical Papyrus
    • 1800 BCE: Plimpton 322
    • YBC 7289
    • 1550 BCE: The Ahmes Papyrus
    • 1928: A History of Mathematical Notations
    • 1200 BCE: Yajurveda
    • 2500 BCE: Mohenjodaro Cube Weights
    • The I-Ching
    • 1100 - 1001 BCE: Zhoubi Suanjing
    • ~600 BCE: Shatapatha Brahmana
    • 375 BCE: De Republica
    • 2001: A Beautiful Mind (Movie)
    • 2014: The Imitation Game (Movie)
    • 2016: Hidden Figures (Movie)
    • ~1520: The School of Athens (Fresco)
    • ~350 BCE: Analytica Prior
  • Chapter 2: The Origins of Mathematics
    • 300 BCE: Euclid’s Elements
    • 1847 CE: Byrne's First Six Books of Euclid's Elements
    • ~200 BCE: Jiuzhang Suanshu
    • ~200 BCE: Chandaḥśāstra
    • ~150 CE: The Almagest
    • ~151 CE: The Handy Tables
    • 1568 CE: Cosmographia
    • ~250 CE: Arithmetica
    • ~260 CE: Haido Suanjing
    • 280-473 CE: Sunzi Suanjing
    • 400 CE: The Bakhshali Manuscript
    • 466 - 85 CE: Zhang Qiujian Suanjing
    • 510 CE: Aryabhatiya
    • 535 - 66 CE: Wucao Suanjing
    • ~530 CE: The Archimedes Palimpsest
  • Chapter 3: Global Evolution
    • Greek and Chinese translations of Euclid’s Elements
  • Chapter 4: Scientific Revolution
    • Texts of the Copernican revolution
    • Ground of Arts (1543) – Robert Recorde
    • Ars Magna (1545) – Gerolamo Cardano
    • Decimal notation texts – Simon Stevin
    • Astronomical calculations – Johannes Kepler
    • Logarithm introduction texts – John Napier
    • La Géometrie (1637) – René Descartes
    • Principia (1687) – Isaac Newton
  • Chapter 5: Modern Mathematics
    • Ars Conjectandi (1743) – The Bernoullis
    • Bridges of Königsberg solution (1741) – Leonhard Euler
    • Mécanique Céleste (1799-1825) – Pierre-Simon Laplace
    • Essay towards a Problem in the Doctrine of Chances (1763) – Thomas Bayes
    • Disquisitiones Arithmeticae (1798) – Carl Friedrich Gauss
    • Mathematical correspondence – Sophie Germain (Monsieur Le Blanc)
    • Sketches of the Analytical Engine (1842) – Charles Babbage
    • Investigation of the Laws of Thought (1854) – George Boole
    • Notes on Matters Affecting the Health, Efficiency, and Hospital Administration of the British Army (1858) – Florence Nightingale
    • Grundlagen der Geometrie (1899) – David Hilbert
    • Principia Mathematica (1910) – Bertrand Russell and Alfred North Whitehead
  • Chapter 6: The Future
    • Texts and discussions on fractals
    • Grundlagen der Quantenmechanik (1932) – John von Neumann
    • Theory of Games and Economic Behavior (1944) – John von Neumann & Oskar Morgenstern
    • Basic Statistics (1969) – David Blackwell
    • Mathematician’s Apology (1940) – G. H. Hardy
  • Bibliography & Further Reading
  • Do you have a suggestion for an excellent book or resource that would help people to learn more about the history - and historical books - of mathematics? Ask me to add it to the list!

  • Beyond the Book
  • What historically-important mathematical works deserve a place on the shelves of the mathematicians' library but didn't make it into the book? Let me know what I missed, and I'll add it to the list.


A MathsyDotSpace project by TeaKayB