Numerical Analysis and Computer Programming

0 Reviews

Publisher: Northern Book Centre

Book Price: 170.00

Offer Price: 153.00

10%
In Stock

Low cost in India and Worldwide.

Numerical Analysis and Computer Programming

Summary of the Book

Salient Features

  • Covers both Numerical Analysis (NA) and Computer Programming (CP) in a single volume
  • Written strictly according to the syllabus and guidelines of BA/BSc Mathematics (Hons) of Delhi University
  • Also useful for other Indian Universities and Competitive Examinations
  • Concepts, methods, 137 questions, 76 examples and 58 assignments given in a simple, step-by-step, graded form
  • Formulation of 59 programs made easy
  • Perfect for self-study; no teacher required
  • All guidelines problems fully solved
  • All questions of University examinations since 1994 included and solved in the text at relevant places
  • Contains ‘Frequency Table’ indicating the importance of each topic.

Book Content

Contents

PART — A  FORTRAN 77
    1 Fortran Programming Preliminaries
High Level Language
Characterset Used in Fortran
Fortran Constants and Variables
Fortran Constants
Integer Constants
Real Constants
Fortran Variable Names
Integer Variable Names
Real Variable Names
Real Constants
Fractional Form
Type Declaration Statements
integers
reals
Assignment
   2. Arithmetic Expressions
Integer Arithmetic Expressions
Real Arithmetic Expressions
Hierarchy of Operations in Expressions
Integer Division
Real Division
Arithmetic Statements
Mixed Mode Expressions
Special or Inbuilt Functions
Some Examples of Special Functions
Assignment
    3. Program Preparation Preliminaries
Prelims of Writing a Program
Fortran Statement Number or Statement Label
Input and output Statements or I/O Statements
Input Statements
OUTPUT Statements 
    4. Simple Computer Programs
Assignment
   5. Control Statements
Relational Operators
Logical Expression
Control Statements
First form of Logical IF Statement
Second form of Logical IF Statement
Third form of Logical IF Statement
GO TO Statement
Nested Logical IF Statement
Arithmetic IF Statement
Computed go to Statement
Assignment
   6. The Do Statement
The DO Statement
Nested DO Loops
Rules for Writing DO Loops:
   7. Subscripted Variables
Arrays
Rules for an Array Name
Subscripted Variable
Subscript
Rules for Subscripts
Importance of Subscripted Variable
Multiple Subscripted Variables
Dimension Statement
Input/Output of Arrays
Input/Output using the Array Name
Input/Output using a DO Loop
Input/Output using an Implied DO Loop
Three Dimensional Arrays
Using a Nested DO Loop
Using Implied DO Statement
Assignment
    8. Elementary Format Specification
FORMAT Description for READ Statement
Format Specification of Integer Data
Format Specification of Real Data
Fractional Form
Exponent Form
FORMAT Description for WRITE Statement
Carry Control or Carriage Control Character
Rules for Output Data in F-Format
Rules for Output Data in E-Format
Multi Record FORMATS
Format Rescan Rule
(If a Format Statement has more than one pair of Parentheses)
Record Spacing
Hollerith Field Declaration or H-FORMAT Code
Some more Miscellaneous Examples
    9. Generalised Input/Output Statements
General Form of Input Statement
General Form of Output Statement
Creating a Sequencial File
Logical Expressions
Logical Expressions
Definitions of Logical Operators
Rules for Writing Logical Expressions
 10. Subprograms
Subprogram
Types of Subprograms
Statement Function Definition
Function Subprogram or External Function
Rules for Defining Function
Rules for Calling a Function
Subroutine Subprogram
Rules for Writing Subroutine
CALL Statement
Some Important Programs
Program for Bisection Method
Program for Regula Falsi Method
Program for Secant Method
Program for Newton Raphson Method
Program for Gauss Seidel Method
Program for Gauss Jacobi Method
Program for Gauss Elimination Method

 

PART — B  NUMERICAL ANALYSIS
 11. Methods for Finding Roots of Equations
Regula Falsi Method
Assignment
Newton Raphson Method
Assignment
Assignment
Assignment
Bisection Method
Assignment
Iterative Method
Assignment
Secant or Chord Method
Rate of Convergence
Convergence of Newton Raphson Method
Convergence of Bisection Method
Convergence of Secant Method
 12. Systems of Linear Equations
Gauss Elimination Method
Pivot Elements
Partial Pivoting
Complete Pivoting
Assignment
Gauss-Jordan Elimination Method
Assignment
Assignment
Gauss-Seidel Iteration Method
Assignment
Gauss Jacobi Iteration Method
Assignment
Convergence of Gauss Jacobi and Gauss-seidal methods
Assignment
Assignment
Jacobi Method for Symmetric Matrices
 13. Interpolation
Difference Operators
Forward Difference Operator (D)
Backward Difference Operator (Ñ)
Operator E (Shift Operator)
Central Difference Operator (d)
Averaging Operator (m)
Interpolation (with equal intervals)
Newton Gregory Formula for Interpolation with Equal Intervals (Forward Interpolation)
Assignment
Assignment
Interpolation for Unequal Intervals of the Arguments
Newton Divided Difference
Newton’s Divided Difference Formula of n Unequal Intervals
Assignment
Lagranges Method
Lagranges Formula for Interpolation (with unequal intervals)
Assignment
Linear Interpolation
Assignment
Truncation Error Meaning and Computation
Truncation Error Bounds
Quadratic Interpolation
Hermite Interpolation
Least Squares Approximation

Author / Editors / Contributors

Reviews

Top reviews list the most relevant product review only. Show All instead?

There is no Review on this Book !!!

Recently Viewed

Numerical Analysis..

170.00

153.00