# Brahmagupta I

## The First Problem Set

### Roy Lisker, 2002

#### Brahmagupta 1 is the first of a series of books of mathematics problems, largely invented by its author.

It contains 17 problems at the level of graduate students and advanced undergraduates in mathematics. It is the author's hope that some of these problems are challenging to mathematicians in general.

Brahmagupta (598-665 C.E.) was an outstanding mathematician and astronomer of 7th Century India.

All solutions are written out in full.
Problems:

- Convex figures
- Zeta-Function series problems
- Algebraic Integers on the Unit Circle
- A Topology on Permutation Space
- A relationship between tangent and radius vector
- Parametrizing a graph by arc-length and curvature
- A curious infinite product
- Some Fibonacci Series problems
- An iterated sum-product
- A double summation problem
- Everywhere and Nowhere convergent series
- A metric Knot Theory problem
- Basic representations of Unity
- Combinatorics of semi-groups
- Non-standard logic1
- Non-standard logic 2
- Self-inverting analytic functions.

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The price of "Brahmagupta I " is $15

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Send check, cash or money order to:

Roy Lisker

8 Liberty Street#306

Middletown,CT 06457

rlisker@yahoo.com