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A Note on Parametrization
The key to parametrizartion is to realize that the goal of this method is to describe
the location of all points on a geometric object, a curve, a surface, or a region. This
description must be one-to-one and onto: every point
VECTOR AND TENSOR CALCULUS
1. Vector and Tensor algebra
We will mainly consider vectors in R3 and tensors (matrices) in R33 .
1.1. Products between vectors. Let a = (a1 , a2 , a3 ), b = (b1 , b2 , b3 ) R3 be two vectors.
Notice that the components of the
Some day, The n th Some month, Some year
Some time to Another time
EXAMINATION FOR THE DEGREES OF
M.A., B.Sc. AND M.Sci.
4H HONOURS MATHEMATICS
Fluid Mechanics
An electronic calculator may be used provided that it does not have
a facility for either textu
Some day, The n th Some month, Some year
Some time to Another time
EXAMINATION FOR THE DEGREES OF
M.A., B.Sc. AND M.Sci.
4H HONOURS MATHEMATICS
Fluid Mechanics
An electronic calculator may be used provided that it does not have
a facility for either textu
Friday, 2nd May, 2014
2.00 pm to 3.30 pm
EXAMINATION FOR THE DEGREES OF
M.A., B.Sc. AND M.Sci.
4H HONOURS MATHEMATICS
Fluid Mechanics
An electronic calculator may be used provided that it does not have
a facility for either textual storage or display, or
Some day, The n th Some month, Some year
Some time to Another time
EXAMINATION FOR THE DEGREES OF
M.A., B.Sc. AND M.Sci.
4H HONOURS MATHEMATICS
Fluid Mechanics
An electronic calculator may be used provided that it does not have
a facility for either textu
Some day, The n th Some month, Some year
Some time to Another time
EXAMINATION FOR THE DEGREES OF
M.A., B.Sc. AND M.Sci.
4H HONOURS MATHEMATICS
An exam
An electronic calculator may be used provided that it does not have
a facility for either textual stora
MATH20101 Complex Analysis
7. Cauchys Residue Theorem
7. Cauchys Residue Theorem
7.1
Introduction
One of the more remarkable applications of integration in the complex plane in general,
and Cauchys theorem in particular, is that it gives a method for calc