Useful class links

• Course schedule
• Course slides
• Examples of abstract, outline, slides, paper and presentation

Forms of regular use

• Problem with work submisssion Lectures 1 and 2
• Question after classmate lecture lectures 1 and 2
• Lecture 1 presentation evaluation
• Lecture 2 presentation evaluation
• Link to make appointment for presentation reheasal The rehearsal will be in Zoom. My zoom link is here.

Llinks organized by topics

About the Bibliography

• A reliable website?

In the beginning

• The Ishango bone
• The Ishango bone, a different view.

Ancient Egyptian Mathematics

• The Rhind (or Ahmose) Mathematical Papyrus can be seen in this and this pages of the British Museum.
• The Geogebra app to study the volume of the truncated pyramid is here.
• The Rhind Mathematical Papyrus Vol 1 translation by Arnolds Buffum Chace
• The Rhind Mathematical Papyrus Vol 2 translation by Arnolds Buffum Chace
• The Rhind Mathematical Papyrus translation and commentary by T. Eric Peet
• The Rhind Mathematical Papyrus Gay Robbins and Charles Schute
• The Rhind Papyrus BBC podcast (about 15 minutes long)

Ancient Mesopotamian Mathematics

• How to write cunieform (by the British Museum)
• The area of the circle tablet. Note that you can drag and rotate the tablet.
• The area of a trapezoid tablet tablet.
• The diagonal of a square tablet
• How to do cuneiform writing. See also here.
• Interesting and funny video about cuneiform writing. (this one is more about writing than about mathematics)
• Old multiplication and reciprocals tablets by Anthony Phillips
• Tablet 1
• David Mumford on MS 3049.
• Lecture 1: Drag the photo of your triangle drawing to this page or email it at lecture1@yogile.com
• Lecture 2 Drag he photo of your triangle drawing to this page or email it at lecture2@yogile.com

Mayan Mathematics

• Timeline of decipherment of the Maya code
• Dresde Codex
• The Maya people and their calendars
• Stela C of Quirigua

Hellenic Mathematics

• Lecture 1: Construction of an equilateral triangle - Geogebra activity
• Lecture 2: Construction of an equilateral triangle - Geogebra activity
• Construction of equilateral triangle in Euclid's elements
• Quadratix - Geogebra
• Trisection by Hippias - Geogebra
• A good discussion about axioms.
• Lecture 1: Proposition I of Euclid's Elements
• Lecture 2: Proposition I of Euclid's Elements

Euclid's elements in many shapes and forms

• Euclid's Elements, bilingual version in PDF.
• Euclid's elements in htlm, with hyperlinks that facilitate understanding.
• A reproduction of Oliver Byrne’s Elements of Euclid.

Conic sections - Apollonius and Archimedes

• Clip from the movie Agora
• Apollonius of Perga (~200BCE) Conic sections
• Parabola focus and directrix
• The parabola as a mirror
• Conic Sections - Apollonius
• Archimedes and the volume of the sphere.

More about Euclid's Elements

• Morley Trisector theorem (1899!)
• Morley Trisector theorem once more (1899!)
• Of Euclid and equality by Noam D. Elkies

The Pythagorean Theorem, etc

• Euclid's proof of Pythagoras' Theorem
• One more app about the Pythagorean Theorem
• Lecture 1:Exploration of Euclid's proof of the Pythagorean Theorem
• Lecture 2: Exploration of Euclid's proof of the Pythagorean Theorem
• Lectures 1 and 2: One Step in the Proof of Pythagoras' Theorem
• Some of the many proofs of the Pythagorean theorem

About proofs in mathematics

• On proof and progress in mathematics by William Thurston
• When is a proof? by Keith Devlin
• Proofs in Mathematics by Alexander Bogomolny
• Homer Simpson disproves Fermat Last theorem ?!

Mathematics in Ancient China

• Proof of Gougu (Pythagorean) Theorem
• Proof of Gougu (Pythagorean) Theorem II
• Calculation of the Volume of the Sphere in Ancient China
• Volume of the pyramide
• A Chinese multplication table.
• Spreadsheet

Mathematics in the Islamic Golden Age

• The Algebra of Mohammed Ben Musa(Muhammad ibn Musa al-Khwarizmi)
• Khayyam parabola Lecture 1
• Khayyam parabola Lecture 2
• Khayyam Solution of a type of a cubic: A cube and sides are equal to a number.
• The algebra of Mohammed ben Musa. Edited and translated by Frederic Rosen

Indian Mathematics

• Sulba sutras activity 1 - Lecture 1
• Sulba sutras activity 1 - Lecture 2
• Activity 2: Sulba sutra, optional activity, both lectures
• Activity 3: One of the Baudhayana Sulbasutras Lectures 1 and 2
• Activity 4: Circling the square (Apastamba sulbasutra), both lectures
• The Arytabhatiya of Aryabhata
• Spreadsheet for Aryabhata Table of sines.

Reinassance

• Leonardo da Vinci's Geometric Sketches
• Descartes' curve Geogebra app
• Geometric step in the solution of x^3+ax=b
• Geometric step in the solution of x^3=ax+b
• Cardano Gear Mechanism
• Descartes Hyperbola Mechanism from La Geometrie
• Galileo's Arithmetic

About Escher

• The Mathematical Side of M. C. Escher by Doris Schattschneider
• Registration for the Escher exhibition
• We will go to the exhibition on Wednesday Nov 3rd, at 2pm. Meeting at the lobby of the Simons Center.

Miscelanea

• Turing machinge simulator
• The Golden Age by van der Waerden
• Scissor congruence
• Vignettes of Ancient Mathematics by Henry Mendell, Cal. State U., L.A.
• In Our Time list of episodes of the BBC radio show with math history content.

Good content websites for the course

• There is a great deal of relevant material in the digital library JSTOR, which you can access with your Stony Brook Net ID.
• The Internet Archive and Project Gutenberg are also good sources.
• Wikipedia is often a good source for references, but it cannot be your reference.
• MacTutor History of Mathematics Archive
• Convergence, from the Mathematical Assocation of America
• Mathigon Timeline of the history of mathematics
• History of Mathematics Notes by Donald Allen
• Cut the knot
• Wikimedia commons - good source of images

Recommended books

• Barrow-Green, June, Jeremy Gray, and Robin Wilson. The History of Mathematics: A Source-Based Approach: Volume 1. Vol. 45. American Mathematical Soc., 2019.