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{\bf $\stackrel{\mbox{MA330}}{Sathaye}$ \hfill {\bf Summary of BBC discussion } \hfill \ For 9/2/16  }
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Here is a list of points discussed during the interview and my intended points of discussion.
\begin{enumerate}
\item List of inventions attributed to Indian mathematics: zero, infinity, Pythagoras Theorem, Geometry for altar constructions, astronomy.
\item Discussion of Harappa  civilization. Evidence of accurate weights and precise bricks. Text is not deciphered and not much in volume.
{\bf Comment:} Recently, Harappan script has been noted in inscriptions in the middle east. 
\item Vedas (scriptures). Shulba sutras or notes on geometric constructions. {\bf Comment:} Why ``surveyor's manual''? Reasons for comparing and transforming areas. Verse about the peacock.
Incomplete description of the Pythagoras Theorem.
\item Jainism and infinity. {\bf Comment:} Several incorrect references: levels of infinity, recurrent cycles, infinite souls. Ordinal versus cardinal infinity.
\item Invention of numerals. brahmi, kharoshtri. Bakshali manuscript. {\bf Comment:} Did zero arise only in 4th cent.? Why is sh\={u}nyat\={a} confused with zero as a number? 
Grammarian zero. Formal infinity. 
\item Discussion of development and transmission of mathematics. {\bf Comment:} Alternate description.
\item \={A}ryabha\d{t}a and his mathematics. {\bf Comment:} Round earth, heliocentric model(?), longitudes and local time. Dispute with Brahmagupta.  ku\d{t}\d{t}aka (Euclidean algorithm). 
\item Bh\={a}skara II and his work. {\bf Comment:} Description of L\={i}l\={a}vat\={i} too simplistic. More details. $\Delta x$.
\item Kerala Mathematics and its transmission. To be discussed in detail later.
    
\end{enumerate}



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