Elements of Numerical Analysis
eBook - PDF

Elements of Numerical Analysis

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Elements of Numerical Analysis

About this book

Numerical analysis deals with the manipulation of numbers to solve a particular problem. This book discusses in detail the creation, analysis and implementation of algorithms to solve the problems of continuous mathematics. An input is provided in the form of numerical data or it is generated as required by the system to solve a mathematical problem. Subsequently, this input is processed through arithmetic operations together with logical operations in a systematic manner and an output is produced in the form of numbers. Covering the fundamentals of numerical analysis and its applications in one volume, this book offers detailed discussion on relevant topics including difference equations, Fourier series, discrete Fourier transforms and finite element methods. In addition, the important concepts of integral equations, Chebyshev Approximation and Eigen Values of Symmetric Matrices are elaborated upon in separate chapters. The book will serve as a suitable textbook for undergraduate students in science and engineering.

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Yes, you can access Elements of Numerical Analysis by Radhey S. Gupta in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2015
Print ISBN
9781107500495
eBook ISBN
9781316338353
Edition
2
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics
2
•
Elements
of
Numerical
Analysis
as
‘normalised
floating
point’
and
when
1
≤
p
<
10,
the
form
is
called
‘scientific
notation’.
A
few
examples
of
floating
point
representation,
fl
(
x
)
of
number
x
are
given
as
follows:
x
fl
(
x
)
Mantissa
(
p
)
Exponent
(
q
)
2
.
0456
0
.
20456
×
10
1
0
.
20456
1
-
32
.
7652
-
0
.
327652
×
10
2
-
0
.
327652
2
0
.
00234
0
.
234
×
10
-
2
0
.
234
-
2
0
.
000000034
0
.
34
×
10
-
7
0
.
34
-
7
34000000
0
.
34
×
10
8
0
.
34
8
1.3
Binary
Numbers
The
decimal
numbers
(radix
10)
are
converted
to
binary
form
with
digits
0
and
1
(radix
2)
in
the
computer.
An
integer
decimal
number,
may
be
converted
to
binary
equivalent
by
following
procedure:
Divide
repeatedly
by
2
until
last
quotient
is
1,
keeping
the
remainder
against
the
quotient;
read
the
binary
digits
in
the
direction
of
arrow.
Thus
we
get,
23
=
10111;
14
=
1110
.
The
fractional
decimal
number
is
converted
to
binary
form
in
the
following
manner:

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. Preface
  7. 1 Errors in Computation
  8. 2 Linear Equations and Eigenvalue Problem
  9. 3 Nonlinear Equations
  10. 4 Interpolation
  11. 5 Numerical Differentiation
  12. 6 Numerical Integration
  13. 7 Ordinary Differential Equations
  14. 8 Splines and their Applications
  15. 9 Method of Least Squares and Chebyshev Approximation
  16. 10 Eigenvalues of Symmetric Matrices
  17. 11 Partial Differential Equations
  18. 12 Finite Element Method
  19. 13 Integral Equations
  20. 14 Difference Equations
  21. 15 Fourier Series, Discrete Fourier Transform and Fast Fourier Transform
  22. 16 Free and Moving Boundary Problems: A Brief Introduction
  23. Appendices
  24. Answers to Exercises
  25. Index