Ma330 Spring 2017 (MWF 9-9:50 in CB 339)

This page shall be updated as often as needed.

Assignment for taking notes is suspended until April 3.

Current discussion is on Newton’s theorem on

solving polynomial equations by power series.

Some interesting links: About Newton-Puiseux series, Newton Polygon.

A good source to study about newton and his works is here!

Expect announcements and grade information on Canvas by tomorrow.

I will also post ideas for lectures in the remaining period (for voting on) and presentation schedule next week (March 27-).

Interesting articles about the RSA algorithm.

Check out this file and this link And also this link

 

 

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.

Some Maple files

Brouncker-Wallis algorithmfiles\confrac_brouncker.mws

Working with equations

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}

Some useful project sources

Contents of Sherlock Holmes’ … book

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

Information about projects

The final course project is

due on or before May 5 (Thursday)  10:30 AM.

Please send a pdf file as soon as possible!

Aryabhata algorithm

Includes some homework due on 2/3.

 

Excel file for confrac

Quiz 1 on Brouncker-Wallis

Due 2/27

(Hint updated)

 

Transcendence of real numbers

(excerpt from A. Baker’s book)

Detailed explanation of part of the above

A set of files on theory of equations.

EQN 1, EQN 2, EQN 3,

EQN 4, EQN 5

 

 

Chakravala process

Maple version

Details of Chakravala algorithm

With homework due on March 8 by group.

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

A link to my web site from Fall 2016. Updated file links may be brought back to this page as needed.

·       A summary of class discussion on overview of Mathematics. To be updated as needed.

·       A useful text about Mathematics in India.

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

·        Essay on  Brahmagupta’s Arithmetic

·        Essay on Brahmagupta’s Algebra

·        The book of   of Al Khwarizmi

·        The Chronology of Ancient Nations  by Al Biruni

·        Link to Euclid: http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D7%3Atype%3DDef%3Anumber%3D1

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

·        An interesting paper on the history of CRT (kuṭṭaka)

·        Vedic Mathematics in 20th century: An essay 

·        A Universal Divisibility Test by Swami Bharati Krishna Tirtha