Ma330 Fall 2018 (MWF 1-1:50 in)

This page shall be updated as often as needed.

See final project instructions below. 

 

Course Policy

Do log into Canvas and formulate project groups on your own. Contact me if you need help.

A most useful resource

Another useful resource at UTK

Daily notes by groups.

About the trig tables and power series

Excerpt from Divakaran’s book

 

Old (1898) book by Ball on Math. History.

Pdf, but it is also available as a free audio book on Librivox!

Here is the TOC for easy lookup.

Useful site to view original Greek manuscripts with translations

 (Perseus}

Text of Euclid’s Elements 

Some useful project resources

Contents of Sherlock Holmes’ … book

Possibly useful for projects History talks on bbc (Sautoy) link

Did mathematics travel from Kerala to Europe?

A thought provoking essay.

 Chakravala aka

Pell’s equation

The algorithm

 Selenius’ paper giving the rationale

Related problems

Two papers about Euler
 and zeta function

Devlin

Ayoub

History of proof in ancient traditions

Ed. Chemla K.

Erdos material

Bertrand Postulate

Prime no. theorem controversy

Erdos’ mathematics

Newman’s PNT proof

Final project instructions are here.  

 Continued fractions

Brouncker algorithm

Newton on power series

Leibniz calculus correspondence

A very interesting link to browse. I strongly recommend it!!

1.      A useful text about Mathematics in India.

2.      The source book for continued fractions by C. D. Olds

3.       Essay on  Brahmagupta’s Arithmetic

4.       Essay on Brahmagupta’s Algebra

5.       The book of   Al Khwarizmi

6.       The Chronology of Ancient Nations  by Al Biruni

7.       Links to Egyptian fractions: https://www.google.com/search?q=euclidean+fraction&ie=utf-8&oe=utf-8#q=egyptian+fraction

8.       An interesting paper on the history of CRT (kuṭṭaka)

9.       Vedic Mathematics in 20th century: An essay 

10.   A Universal Divisibility Test by Swami Bharati Krishna Tirtha

11.  Heath: Archimedes’ method

12.  Heath: History of Greek Mathematics Vol I,  Vol II

13.  Bakshali Manuscript (recently in the news)

14.  A continued fraction for pi (Brouncker), a source for the main formula

15.  A paper by Landen illustrating Newton’s notations. A note on it in modern notation with explanation.

 

A link to my web site from Spring 2017. Updated file links may be brought back to this page as needed.