7.0 MATHEMATICS WITHOUT INFINITY
The
symbol is just a notation and not an actual object
i.
ii.
Let assume that the size of the set R of real numbers is infinite, it means that
the set R is not finite and it does not contain exactly an integer number of

Mathematics is one kind of science. We cannot do a single moment without
mathematics. It has made our life easy and comfortable. In official and personal
life become paralyzed without mathematics.
Mathematics is one of the most important field in science.

Chapter 3: Partial Derivative
Partial Derivative
The process of differentiating a function of
several variables with respect to one of its
variables while keeping the other variable(s)
fixed is called partial differentiation.
Formal Definition
For z = f(x

7.0
MATHEMATICS WITHOUT INFINITY
is merely notation, and not
Let first state that in most of mainstream mathematics, the symbol
an actual object.
1. For instance, when we say that the size of the set R of real numbers is infinite, we simply
mean that it

CHAPTER 6 :
Extrema of Function of Several
Variables
FSSA/HS08-HS09/SESSION 14-15/SM20303
OUTLINE
6.1 Local Extrema
Minimum extrema
Maximum extrema
Min, Max and Saddle point
6.2 Absolute Extrema
2
In this chapter
We are going to extend one of the
most im

Write a program that reads a list of names and telephone numbers from a
text file and inserts them into a BST tree. Once the tree has been built,
present the user with a menu that allows him on her to search the list for
specified name, insert a new name,

Chapter 4: Chain rule, implicit differentiation,
directional derivatives & gradient vector
What is a chain rule?
-The chain rule is a formula for computing the
derivative of the composition of two or more
variables.
The chain rule for functions of single