Perspective and
Projection
ILLL
Dr Shobha Bagai
University of Delhi
PERSPECTIVE AND PROJECTION
"Perspective is the rein and rudder of painting"
Leonardo da Vinci
WHAT IS PERSPECTIVE
Look at the two figures below
What do the two pictures represent? The obv

Introduction:
This is a lesson about not just primes
But also of numbers and rhymes
Fermat and Mersenne, make a fine pair
By lending their names to primes so rare
Unsolved problems called Conjectures
Do meet us at several crucial junctures
How do we find

Permutation and Combination
Shobha Bagai
ILLL
University of Delhi
PERMUTATION AND COMBINATION
Imagine that you have invited your friends for your Birthday party and asked your
mother to prepare some good tasty food. Your mother gives you the following
cho

Pythagorean Triples and
Fermats Last Theorem
Shobha Bagai
Institute of Lifelong Learning
University of Delhi
PYTHAGOREAN TRIPLES AND FERMATS LAST THEOREM
Papyrus Berlin: "You are told the area of a square of 100 square cubits is equal to
that of two small

Geometry and Construction of
Fire Altars in Ancient India
Shobha Bagai
ILLL
University of Delhi
GEOMETRY AND CONSTRUCTION OF FIRE ALTARS IN ANCIENT INDIA
Construct a square with the same area as a
given circle using only a compass and a straightedge.
From

Institute of Life Long Learning (ILLL)
University of Delhi South Campus
Pankaj Jain
Mathematical Awareness
A Concurrent Course For B.A. (Hons)
NUMBERS AND ARITHMETIC
_
System of Counting
Counting has always been one of the primary needs of human being. Ev

Emmy Noether 1882-1935
The year is 1964 and there is a huge exhibition in New York City titled
`Worlds fair. There is an entire hall dedicated to Mathematics in this
exhibition. In the display is a poster almost 13 feet long, giving a brief
survey of the

Apart from discussing different types of symmetry this lesson will also introduce the
reader to concrete examples of symmetry groups. The basic notion of tilings will also
be
discussed.
We
shall
also
study
symmetry
and
patterns
in
monuments/buildings/orna

Institute of Life Long Learning (ILLL)
University of Delhi South Campus
Pankaj Jain
Mathematical Awareness
A Concurrent Course For B.A. (Hons)
Lesson 2
BIOGRAPHY OF SIR ISAAC NEWTON
_
Introduction. Newton was one of the great scientists that the world has

ILLL
Platonic Solids
Dr Shobha Bagai
University of Delhi
PLATONIC SOLIDS
Trace the following figures on a piece of paper and cut it along the outer edges
marked in red. Fold it along the dotted blue lines so that the red lines join. You get a
solid figure

The Golden Section
ILLL
Dr Shobha Bagai
University of Delhi
THE GOLDEN SECTION
He felt himself suddenly reeling back to Harvard, standing in
front of his Symbolism in Art class, writing his favorite
number on the chalkboard.
1.618
.
This number PHI, Langd

Biography of Bernhard
Riemann
ILLL
Shobha Bagai
University of Delhi
BERNHARD RIEMANN
(1826-1866)
Georg Friedrich Bernhard Riemann was a German mathematician who made
important contributions to analysis and differential geometry, some of them paving
the wa

Institute of Life Long Learning (ILLL)
University of Delhi South Campus
Pankaj Jain
Mathematical Awareness
A Concurrent Course For B.A. (Hons)
Lesson 1
BIOGRAPHY OF EUCLID
_
Introduction. It is very difficult to imagine the fate of the scientific knowledg

Institute of Life Long Learning (ILLL)
University of Delhi South Campus
Pankaj Jain
Mathematical Awareness
A Concurrent Course For B.A. (Hons)
GRAPH THEORY
(INCLUDING FOUR COLOUR MAP PROBLEM, MBIUS STRIP AND KLEIN BOTTLE)
_
Introduction. The following is

Institute of Life Long Learning (ILLL)
University of Delhi South Campus
Pankaj Jain
Mathematical Awareness
A Concurrent Course For B.A. (Hons)
MAGIC SQUARES
_
Consider the following arrangement of numbers:
2
7
6
9
5
1
4
3
8
Note that the sum of numbers in

Institute of Life Long Learning
Mathematical Awareness
A Concurrent Course For B.A. (Hons)
FRACTALS IN NATURE
_
What is a Fractal
All of us are aware of simple geometrical shapes like square, triangle or circle.
Fractals are also geometrical shapes but ar

Institute of Life Long Learning (ILLL)
Universiy of Delhi South Campus
Pankaj Jain
Mathematical Awareness
A Concurrent Course For B.A. (Hons.)
FUNCTIONS
1. Introduction
A function can be thought of as a model or activity the behaviour of which depends
upo

A Preview of Srinivasa Ramanujan Iyengars Life-story:
Srinivasa Ramanujan Iyengar was born on 22 December 1887 to Komalatammal and
Srinivasa at Erode in Tamilnadu. He died on 26 April 1920 at Chetpat, a suburb of
Chennai, in Tamilnadu. In the short span o