F I F T H E D I T I O N. Introductory Methods of Numerical Analysis. S.S. Sastry
|
|
- Jasper Pitts
- 5 years ago
- Views:
Transcription
1 F I F T H E D I T I O N Introductory Methods of Numerical Analysis S.S. Sastry
2 Introductory Methods of Numerical Analysis
3
4 Introductory Methods of Numerical Analysis Fifth Edition S.S. SASTRY Formerly, Scientist/Engineer SF Vikram Sarabhai Space Centre Trivandrum New Delhi
5 INTRODUCTORY METHODS OF NUMERICAL ANALYSIS, Fifth Edition S.S. Sastry 2012 by PHI Learning Private Limited, New Delhi. All rights reserved. No part of this book may be reproduced in any form, by mimeograph or any other means, without permission in writing from the publisher. ISBN The export rights of this book are vested solely with the publisher. Forty-fifth Printing (Fifth Edition) June, 2012 Published by Asoke K. Ghosh, PHI Learning Private Limited, M-97, Connaught Circus, New Delhi and Printed by Rajkamal Electric Press, Plot No. 2, Phase IV, HSIDC, Kundli , Sonepat, Haryana.
6 To My Grandsons Venkata Bala Nagendra Venkata Badrinath
7
8 Contents Preface xiii 1. Errors in Numerical Calculations Introduction Computer and Numerical Software Computer Languages Software Packages Mathematical Preliminaries Errors and Their Computations A General Error Formula Error in a Series Approximation 14 Exercises 19 Answers to Exercises Solution of Algebraic and Transcendental Equations Introduction Bisection Method Method of False Position Iteration Method Newton Raphson Method Ramanujan s Method Secant Method Muller s Method Graeffe s Root-Squaring Method Lin Bairstow s Method Quotient Difference Method 58 vii
9 viii Contents 2.12 Solution to Systems of Nonlinear Equations Method of Iteration Newton Raphson Method 64 Exercises 68 Answers to Exercises Interpolation Introduction Errors in Polynomial Interpolation Finite Differences Forward Differences Backward Differences Central Differences Symbolic Relations and Separation of Symbols Detection of Errors by Use of Difference Tables Differences of a Polynomial Newton s Formulae for Interpolation Central Difference Interpolation Formulae Gauss Central Difference Formulae Stirling s Formula Bessel s Formula Everett s Formula Relation between Bessel s and Everett s Formulae Practical Interpolation Interpolation with Unevenly Spaced Points Lagrange s Interpolation Formula Error in Lagrange s Interpolation Formula Hermite s Interpolation Formula Divided Differences and Their Properties Newton s General Interpolation Formula Interpolation by Iteration Inverse Interpolation Double Interpolation 118 Exercises 119 Answers to Exercises Least Squares and Fourier Transforms Introduction Least Squares Curve Fitting Procedures Fitting a Straight Line Multiple Linear Least Squares Linearization of Nonlinear Laws Curve Fitting by Polynomials Curve Fitting by a Sum of Exponentials 135
10 Contents ix 4.3 Weighted Least Squares Approximation Linear Weighted Least Squares Approximation Nonlinear Weighted Least Squares Approximation Method of Least Squares for Continuous Functions Orthogonal Polynomials Gram Schmidt Orthogonalization Process Approximation of Functions Chebyshev Polynomials Economization of Power Series Fourier Approximation Fourier Transform Discrete Fourier Transform (DFT) Fast Fourier Transform (FFT) Cooley Tukey Algorithm Sande Tukey Algorithm (DIF FFT) Computation of the Inverse DFT 174 Exercises 176 Answers to Exercises Spline Functions Introduction Linear Splines Quadratic Splines Cubic Splines Minimizing Property of Cubic Splines Error in the Cubic Spline and Its Derivatives Surface Fitting by Cubic Splines Cubic B-splines Representation of B-splines Least Squares Solution Applications of B-splines 203 Exercises 204 Answers to Exercises Numerical Differentiation and Integration Introduction Numerical Diferentiation Errors in Numerical Differentiation Cubic Splines Method Differentiation Formulae with Function Values Maximum and Minimum Values of a Tabulated Function Numerical Integration Trapezoidal Rule Simpson s 1/3-Rule Simpson s 3/8-Rule 222
11 Introductory Methods Of Numerical Analysis 30% OFF Publisher : PHI Learning ISBN : Author : SASTRY, S. S. Type the URL : Get this ebook
Numerical Methods. Scientists. Engineers
Third Edition Numerical Methods for Scientists and Engineers K. Sankara Rao Numerical Methods for Scientists and Engineers Numerical Methods for Scientists and Engineers Third Edition K. SANKARA RAO Formerly,
More informationMATRIX AND LINEAR ALGEBR A Aided with MATLAB
Second Edition (Revised) MATRIX AND LINEAR ALGEBR A Aided with MATLAB Kanti Bhushan Datta Matrix and Linear Algebra Aided with MATLAB Second Edition KANTI BHUSHAN DATTA Former Professor Department of Electrical
More informationELECTROMAGNETISM. Volume 2. Applications Magnetic Diffusion and Electromagnetic Waves ASHUTOSH PRAMANIK
ELECTROMAGNETISM Volume 2 Applications Magnetic Diffusion and Electromagnetic Waves ASHUTOSH PRAMANIK Professor Emeritus, College of Engineering, Pune Formerly of Corporate Research and Development Division,
More informationTHEORY OF ORDINARY DIFFERENTIAL EQUATIONS
Introduction to THEORY OF ORDINARY DIFFERENTIAL EQUATIONS V. Dharmaiah Contents i Introduction to Theory of Ordinary Differential Equations Introduction to Theory of Ordinary Differential Equations V.
More informationSIGNALS AND SYSTEMS I. RAVI KUMAR
Signals and Systems SIGNALS AND SYSTEMS I. RAVI KUMAR Head Department of Electronics and Communication Engineering Sree Visvesvaraya Institute of Technology and Science Mahabubnagar, Andhra Pradesh New
More informationMass Transfer and Separation Processes
Principles of Mass Transfer and Separation Processes Binay K. Dutta Universiti Teknologi Petronas Malaysia New Delhi-110001 2009 PRINCIPLES OF MASS TRANSFER AND SEPARATION PROCESSES Binay K. Dutta 2007
More informationMATHEMATICAL METHODS INTERPOLATION
MATHEMATICAL METHODS INTERPOLATION I YEAR BTech By Mr Y Prabhaker Reddy Asst Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam, Hyderabad SYLLABUS OF MATHEMATICAL METHODS (as per JNTU
More informationNUMERICAL ANALYSIS SYLLABUS MATHEMATICS PAPER IV (A)
NUMERICAL ANALYSIS SYLLABUS MATHEMATICS PAPER IV (A) Unit - 1 Errors & Their Accuracy Solutions of Algebraic and Transcendental Equations Bisection Method The method of false position The iteration method
More informationNumerical Analysis. Introduction to. Rostam K. Saeed Karwan H.F. Jwamer Faraidun K. Hamasalh
Iraq Kurdistan Region Ministry of Higher Education and Scientific Research University of Sulaimani Faculty of Science and Science Education School of Science Education-Mathematics Department Introduction
More informationPreface. 2 Linear Equations and Eigenvalue Problem 22
Contents Preface xv 1 Errors in Computation 1 1.1 Introduction 1 1.2 Floating Point Representation of Number 1 1.3 Binary Numbers 2 1.3.1 Binary number representation in computer 3 1.4 Significant Digits
More informationPARTIAL DIFFERENTIAL EQUATIONS
MATHEMATICAL METHODS PARTIAL DIFFERENTIAL EQUATIONS I YEAR B.Tech By Mr. Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam, Hyderabad. SYLLABUS OF MATHEMATICAL
More informationReview. Numerical Methods Lecture 22. Prof. Jinbo Bi CSE, UConn
Review Taylor Series and Error Analysis Roots of Equations Linear Algebraic Equations Optimization Numerical Differentiation and Integration Ordinary Differential Equations Partial Differential Equations
More informationIntroduction to PARTIAL DIFFERENTIAL EQUATIONS THIRD EDITION
Introduction to PARTIAL DIFFERENTIAL EQUATIONS THIRD EDITION K. SANKARA RAO Formerly Professor Department of Mathematics Anna University, Chennai New Delhi-110001 2011 INTRODUCTION TO PARTIAL DIFFERENTIAL
More informationQUANTUM MECHANICS SECOND EDITION G. ARULDHAS
QUANTUM MECHANICS SECOND EDITION G. ARULDHAS Formerly, Professor and Head of Physics and Dean, Faculty of Science University of Kerala New Delhi-110001 2009 QUANTUM MECHANICS, 2nd Ed. G. Aruldhas 2009
More informationComputational Methods
Numerical Computational Methods Revised Edition P. B. Patil U. P. Verma Alpha Science International Ltd. Oxford, U.K. CONTENTS Preface List ofprograms v vii 1. NUMER1CAL METHOD, ERROR AND ALGORITHM 1 1.1
More informationApplied Numerical Analysis
Applied Numerical Analysis Using MATLAB Second Edition Laurene V. Fausett Texas A&M University-Commerce PEARSON Prentice Hall Upper Saddle River, NJ 07458 Contents Preface xi 1 Foundations 1 1.1 Introductory
More informationDigital Power System Protection
Digital Power System Protection S.R. Bhide Associate Professor of Electrical Engineering Visvesvaraya National Institute of Technology Nagpur Delhi 110092 2014 Digital power system protection S.R. Bhide
More informationChemical Engineering Thermodynamics
Chemical Engineering Thermodynamics P Liquid P x 1 sat P 1 T sat T 2 T x 1 T x 1 T y 1 Liquid Vapour sat P 2 P x 1 P y 1 P y 1 Vapour sat T 1 x, y 1 1 x, y 1 1 Pradeep Ahuja Contents CHEMICAL ENGINEERING
More informationBalaram Sahoo Nimai Charan Nayak Asutosh Samantaray Prafulla Kumar Pujapanda. Inorganic Chemistry
Balaram Sahoo Nimai Charan Nayak Asutosh Samantaray Prafulla Kumar Pujapanda Inorganic Chemistry INORGANIC CHEMISTRY i ii INORGANIC CHEMISTRY iii Balaram Sahoo Formerly Professor of Inorganic Chemistry
More informationNumerical Analysis. A Comprehensive Introduction. H. R. Schwarz University of Zürich Switzerland. with a contribution by
Numerical Analysis A Comprehensive Introduction H. R. Schwarz University of Zürich Switzerland with a contribution by J. Waldvogel Swiss Federal Institute of Technology, Zürich JOHN WILEY & SONS Chichester
More informationELASTICITY AND FRACTURE MECHANICS. Vijay G. Ukadgaonker
THEORY OF ELASTICITY AND FRACTURE MECHANICS y x Vijay G. Ukadgaonker Theory of Elasticity and Fracture Mechanics VIJAY G. UKADGAONKER Former Professor Indian Institute of Technology Bombay Delhi-110092
More informationNumerical Methods for Engineers
Numerical Methods for Engineers SEVENTH EDITION Steven C Chopra Berger Chair in Computing and Engineering Tufts University Raymond P. Canal Professor Emeritus of Civil Engineering of Michiaan University
More informationTABLE OF CONTENTS INTRODUCTION, APPROXIMATION & ERRORS 1. Chapter Introduction to numerical methods 1 Multiple-choice test 7 Problem set 9
TABLE OF CONTENTS INTRODUCTION, APPROXIMATION & ERRORS 1 Chapter 01.01 Introduction to numerical methods 1 Multiple-choice test 7 Problem set 9 Chapter 01.02 Measuring errors 11 True error 11 Relative
More informationNumerical Analysis for Engineers and Scientists
Numerical Analysis for Engineers and Scientists Striking a balance between theory and practice, this graduate-level text is perfect for students in the applied sciences. The author provides a clear introduction
More informationNumerical Analysis Solution of Algebraic Equation (non-linear equation) 1- Trial and Error. 2- Fixed point
Numerical Analysis Solution of Algebraic Equation (non-linear equation) 1- Trial and Error In this method we assume initial value of x, and substitute in the equation. Then modify x and continue till we
More informationContents. I Basic Methods 13
Preface xiii 1 Introduction 1 I Basic Methods 13 2 Convergent and Divergent Series 15 2.1 Introduction... 15 2.1.1 Power series: First steps... 15 2.1.2 Further practical aspects... 17 2.2 Differential
More informationIntroduction to Numerical Analysis
J. Stoer R. Bulirsch Introduction to Numerical Analysis Second Edition Translated by R. Bartels, W. Gautschi, and C. Witzgall With 35 Illustrations Springer Contents Preface to the Second Edition Preface
More informationEngineering. Mathematics. GATE 2019 and ESE 2019 Prelims. For. Comprehensive Theory with Solved Examples
Thoroughly Revised and Updated Engineering Mathematics For GATE 2019 and ESE 2019 Prelims Comprehensive Theory with Solved Examples Including Previous Solved Questions of GATE (2003-2018) and ESE-Prelims
More informationM.SC. PHYSICS - II YEAR
MANONMANIAM SUNDARANAR UNIVERSITY DIRECTORATE OF DISTANCE & CONTINUING EDUCATION TIRUNELVELI 627012, TAMIL NADU M.SC. PHYSICS - II YEAR DKP26 - NUMERICAL METHODS (From the academic year 2016-17) Most Student
More informationUSHA RAMA COLLEGE OF ENGINEERING & TECHNOLOGY
Code No: R007/R0 Set No. I B.Tech I Semester Supplementary Examinations, Feb/Mar 04 MATHEMATICAL METHODS ( Common to Civil Engineering, Electrical & Electronics Engineering, Computer Science & Engineering,
More informationSecond Edition. Fundamentals of. Optics. Devraj Singh
Second Edition Fundamentals of Optics Devraj Singh Fundamentals of Optics SECOND EDITION DEVRAJ SINGH Assistant Professor and Head Department of Applied Physics Amity School of Engineering and Technology
More informationVEER NARMAD SOUTH GUJARAT UNIVERSITY, SURAT. SYLLABUS FOR B.Sc. (MATHEMATICS) Semester: III, IV Effective from July 2015
Semester: III, IV Semester Paper Name of the Paper Hours Credit Marks III IV MTH-301 Advanced Calculus I 3 3 100 Ordinary Differential (30 Internal MTH-302 3 3 Equations + MTH-303 Numerical Analysis I
More informationFundamental Numerical Methods for Electrical Engineering
Stanislaw Rosloniec Fundamental Numerical Methods for Electrical Engineering 4y Springei Contents Introduction xi 1 Methods for Numerical Solution of Linear Equations 1 1.1 Direct Methods 5 1.1.1 The Gauss
More informationINSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad
Course Title Course Code INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 CIVIL ENGINEERING COURSE DESCRIPTION MATHEMATICS-II A30006 Course Structure Lectures Tutorials
More informationSubbalakshmi Lakshmipathy College of Science. Department of Mathematics
ॐ Subbalakshmi Lakshmipathy College of Science Department of Mathematics As are the crests on the hoods of peacocks, As are the gems on the heads of cobras, So is Mathematics, at the top of all Sciences.
More informationNumerical Methods for Engineers. and Scientists. Applications using MATLAB. An Introduction with. Vish- Subramaniam. Third Edition. Amos Gilat.
Numerical Methods for Engineers An Introduction with and Scientists Applications using MATLAB Third Edition Amos Gilat Vish- Subramaniam Department of Mechanical Engineering The Ohio State University Wiley
More informationNumerical Methods with MATLAB
Numerical Methods with MATLAB A Resource for Scientists and Engineers G. J. BÖRSE Lehigh University PWS Publishing Company I(T)P AN!NTERNATIONAL THOMSON PUBLISHING COMPANY Boston Albany Bonn Cincinnati
More informationIntroduction to Numerical Analysis
J. Stoer R. Bulirsch Introduction to Numerical Analysis Translated by R. Bartels, W. Gautschi, and C. Witzgall Springer Science+Business Media, LLC J. Stoer R. Bulirsch Institut fiir Angewandte Mathematik
More informationContents. Preface to the Third Edition (2007) Preface to the Second Edition (1992) Preface to the First Edition (1985) License and Legal Information
Contents Preface to the Third Edition (2007) Preface to the Second Edition (1992) Preface to the First Edition (1985) License and Legal Information xi xiv xvii xix 1 Preliminaries 1 1.0 Introduction.............................
More informationBACHELOR OF COMPUTER APPLICATIONS (BCA) (Revised) Term-End Examination December, 2015 BCS-054 : COMPUTER ORIENTED NUMERICAL TECHNIQUES
No. of Printed Pages : 5 BCS-054 BACHELOR OF COMPUTER APPLICATIONS (BCA) (Revised) Term-End Examination December, 2015 058b9 BCS-054 : COMPUTER ORIENTED NUMERICAL TECHNIQUES Time : 3 hours Maximum Marks
More informationIntroduction Linear system Nonlinear equation Interpolation
Interpolation Interpolation is the process of estimating an intermediate value from a set of discrete or tabulated values. Suppose we have the following tabulated values: y y 0 y 1 y 2?? y 3 y 4 y 5 x
More informationCAM Ph.D. Qualifying Exam in Numerical Analysis CONTENTS
CAM Ph.D. Qualifying Exam in Numerical Analysis CONTENTS Preliminaries Round-off errors and computer arithmetic, algorithms and convergence Solutions of Equations in One Variable Bisection method, fixed-point
More informationEngineering Mathematics
Thoroughly Revised and Updated Engineering Mathematics For GATE 2017 and ESE 2017 Prelims Note: ESE Mains Electrical Engineering also covered Publications Publications MADE EASY Publications Corporate
More informationNumerical Methods for Engineers
Numerical Methods for Engineers S EVEN TH ED I TI O N Steven C. Chapra Berger Chair in Computing and Engineering Tufts University Raymond P. Canale Professor Emeritus of Civil Engineering University of
More informationVirtual University of Pakistan
Virtual University of Pakistan File Version v.0.0 Prepared For: Final Term Note: Use Table Of Content to view the Topics, In PDF(Portable Document Format) format, you can check Bookmarks menu Disclaimer:
More informationNUMERICAL METHODS FOR ENGINEERING APPLICATION
NUMERICAL METHODS FOR ENGINEERING APPLICATION Second Edition JOEL H. FERZIGER A Wiley-Interscience Publication JOHN WILEY & SONS, INC. New York / Chichester / Weinheim / Brisbane / Singapore / Toronto
More informationMathematical Methods for Numerical Analysis and Optimization
Biyani's Think Tank Concept based notes Mathematical Methods for Numerical Analysis and Optimization (MCA) Varsha Gupta Poonam Fatehpuria M.Sc. (Maths) Lecturer Deptt. of Information Technology Biyani
More information(w.e.f. session )
M.Sc. (Mathematics): 1 st year Subject: Differential Geometry-I Subject Code: MT413 Unit-1 Coordinate transformation, Covariant, Contravariant and Mixed tensors, Tensors of higher rank, Symmetric and Skew-symmetric
More informationA THEORETICAL INTRODUCTION TO NUMERICAL ANALYSIS
A THEORETICAL INTRODUCTION TO NUMERICAL ANALYSIS Victor S. Ryaben'kii Semyon V. Tsynkov Chapman &. Hall/CRC Taylor & Francis Group Boca Raton London New York Chapman & Hall/CRC is an imprint of the Taylor
More informationNumerical Methods for Engineers and Scientists
Numerical Methods for Engineers and Scientists Second Edition Revised and Expanded Joe D. Hoffman Department of Mechanical Engineering Purdue University West Lafayette, Indiana m MARCEL D E К К E R MARCEL
More informationJim Lambers MAT 460/560 Fall Semester Practice Final Exam
Jim Lambers MAT 460/560 Fall Semester 2009-10 Practice Final Exam 1. Let f(x) = sin 2x + cos 2x. (a) Write down the 2nd Taylor polynomial P 2 (x) of f(x) centered around x 0 = 0. (b) Write down the corresponding
More informationMATHEMATICS. Course Syllabus. Section A: Linear Algebra. Subject Code: MA. Course Structure. Ordinary Differential Equations
MATHEMATICS Subject Code: MA Course Structure Sections/Units Section A Section B Section C Linear Algebra Complex Analysis Real Analysis Topics Section D Section E Section F Section G Section H Section
More informationSchool of Sciences Indira Gandhi National Open University Maidan Garhi, New Delhi (For January 2012 cycle)
MTE-0 ASSIGNMENT BOOKLET Bachelor's Degree Programme Numerical Analysis (MTE-0) (Valid from st January, 0 to st December, 0) School of Sciences Indira Gandhi National Open University Maidan Garhi, New
More informationUNIT-II INTERPOLATION & APPROXIMATION
UNIT-II INTERPOLATION & APPROXIMATION LAGRANGE POLYNAMIAL 1. Find the polynomial by using Lagrange s formula and hence find for : 0 1 2 5 : 2 3 12 147 : 0 1 2 5 : 0 3 12 147 Lagrange s interpolation formula,
More informationExam 2. Average: 85.6 Median: 87.0 Maximum: Minimum: 55.0 Standard Deviation: Numerical Methods Fall 2011 Lecture 20
Exam 2 Average: 85.6 Median: 87.0 Maximum: 100.0 Minimum: 55.0 Standard Deviation: 10.42 Fall 2011 1 Today s class Multiple Variable Linear Regression Polynomial Interpolation Lagrange Interpolation Newton
More informationp 1 p 0 (p 1, f(p 1 )) (p 0, f(p 0 )) The geometric construction of p 2 for the se- cant method.
80 CHAP. 2 SOLUTION OF NONLINEAR EQUATIONS f (x) = 0 y y = f(x) (p, 0) p 2 p 1 p 0 x (p 1, f(p 1 )) (p 0, f(p 0 )) The geometric construction of p 2 for the se- Figure 2.16 cant method. Secant Method The
More informationNUMERICAL MATHEMATICS AND COMPUTING
NUMERICAL MATHEMATICS AND COMPUTING Fourth Edition Ward Cheney David Kincaid The University of Texas at Austin 9 Brooks/Cole Publishing Company I(T)P An International Thomson Publishing Company Pacific
More informationALGEBRA. COPYRIGHT 1996 Mark Twain Media, Inc. ISBN Printing No EB
ALGEBRA By Don Blattner and Myrl Shireman COPYRIGHT 1996 Mark Twain Media, Inc. ISBN 978-1-58037-826-0 Printing No. 1874-EB Mark Twain Media, Inc., Publishers Distributed by Carson-Dellosa Publishing Company,
More informationNumerical Analysis. Elements of. Second Edition. Radhey S. Gupta
Elements of Numerical Analysis Second Edition Cambridge House, 4381/4 Ansari Road, Daryaganj, Delhi 110002, India Cambridge University Press is part of the University of Cambridge. It furthers the University
More informationDepartment of Mathematics Faculty of Natural Science, Jamia Millia Islamia, New Delhi-25
Department of Mathematics Faculty of Natural Science, Jamia Millia Islamia, New Delhi-25 Course Structure of U.G. under CBCS* (Only for those students who have not taken mathematics as a core or subsidiary
More informationZeroes of Transcendental and Polynomial Equations. Bisection method, Regula-falsi method and Newton-Raphson method
Zeroes of Transcendental and Polynomial Equations Bisection method, Regula-falsi method and Newton-Raphson method PRELIMINARIES Solution of equation f (x) = 0 A number (real or complex) is a root of the
More informationAN INTRODUCTION TO NUMERICAL METHODS USING MATHCAD. Mathcad Release 14. Khyruddin Akbar Ansari, Ph.D., P.E.
AN INTRODUCTION TO NUMERICAL METHODS USING MATHCAD Mathcad Release 14 Khyruddin Akbar Ansari, Ph.D., P.E. Professor of Mechanical Engineering School of Engineering and Applied Science Gonzaga University
More informationSBAME CALCULUS OF FINITE DIFFERENCES AND NUMERICAL ANLAYSIS-I Units : I-V
SBAME CALCULUS OF FINITE DIFFERENCES AND NUMERICAL ANLAYSIS-I Units : I-V Unit I-Syllabus Solutions of Algebraic and Transcendental equations, Bisection method, Iteration Method, Regula Falsi method, Newton
More informationNUMERICAL METHODS USING MATLAB
NUMERICAL METHODS USING MATLAB Dr John Penny George Lindfield Department of Mechanical Engineering, Aston University ELLIS HORWOOD NEW YORK LONDON TORONTO SYDNEY TOKYO SINGAPORE Preface 1 An introduction
More informationcha1873x_p02.qxd 3/21/05 1:01 PM Page 104 PART TWO
cha1873x_p02.qxd 3/21/05 1:01 PM Page 104 PART TWO ROOTS OF EQUATIONS PT2.1 MOTIVATION Years ago, you learned to use the quadratic formula x = b ± b 2 4ac 2a to solve f(x) = ax 2 + bx + c = 0 (PT2.1) (PT2.2)
More informationMathematics for Engineers and Scientists
Mathematics for Engineers and Scientists Fourth edition ALAN JEFFREY University of Newcastle-upon-Tyne B CHAPMAN & HALL University and Professional Division London New York Tokyo Melbourne Madras Contents
More informationRoots of Equations Roots of Polynomials
Roots of Equations Roots of Polynomials Content Roots of Polynomials Birge Vieta Method Lin Bairstow Method Roots of Polynomials The methods used to get all roots (real and complex) of a polynomial are:
More informationAn Introduction to Numerical Analysis
An Introduction to Numerical Analysis Endre Süli and David F. Mayers University of Oxford published by the press syndicate of the university of cambridge The Pitt Building, Trumpington Street, Cambridge,
More informationLecture Notes Electrical Engineering Volume 18
Lecture Notes Electrical Engineering Volume 18 Stanisław Rosłoniec Fundamental Numerical Methods for Electrical Engineering 123 Prof. Dr. Hab. Ing. Stanisław Rosłoniec Institute of Radioelectronics Warsaw
More informationGENG2140, S2, 2012 Week 7: Curve fitting
GENG2140, S2, 2012 Week 7: Curve fitting Curve fitting is the process of constructing a curve, or mathematical function, f(x) that has the best fit to a series of data points Involves fitting lines and
More informationCourse Plan for Spring Semester 2018
Course Plan for Spring Semester 2018 Tezpur University Course: MS 103, Mathematics-II (For the B. Tech. Students of the School of Engineering) L3-T1-P0-CH4-CR4 Name of the instructors: 1. Mr. Parama Dutta
More informationGUJARAT UNIVERSITY Syllabus of S.Y.B.Sc. / S.Y.B.A. (Effective from June 2004) Mathematics Paper-III Advanced Calculus
Publication Department, Gujarat University [1] GUJARAT UNIVERSITY Syllabus of S.Y.B.Sc. / S.Y.B.A. (Effective from June 2004) Mathematics Paper-III Advanced Calculus Unit-I Indeterminate forms, L Hospital
More informationFinal Year M.Sc., Degree Examinations
QP CODE 569 Page No Final Year MSc, Degree Examinations September / October 5 (Directorate of Distance Education) MATHEMATICS Paper PM 5: DPB 5: COMPLEX ANALYSIS Time: 3hrs] [Max Marks: 7/8 Instructions
More informationNUMERICAL METHODS. lor CHEMICAL ENGINEERS. Using Excel', VBA, and MATLAB* VICTOR J. LAW. CRC Press. Taylor & Francis Group
NUMERICAL METHODS lor CHEMICAL ENGINEERS Using Excel', VBA, and MATLAB* VICTOR J. LAW CRC Press Taylor & Francis Group Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Croup,
More informationNumerical Mathematics
Alfio Quarteroni Riccardo Sacco Fausto Saleri Numerical Mathematics Second Edition With 135 Figures and 45 Tables 421 Springer Contents Part I Getting Started 1 Foundations of Matrix Analysis 3 1.1 Vector
More informationPage No.1. MTH603-Numerical Analysis_ Muhammad Ishfaq
Page No.1 File Version v1.5.3 Update: (Dated: 3-May-011) This version of file contains: Content of the Course (Done) FAQ updated version.(these must be read once because some very basic definition and
More informationScientific Computing. Roots of Equations
ECE257 Numerical Methods and Scientific Computing Roots of Equations Today s s class: Roots of Equations Polynomials Polynomials A polynomial is of the form: ( x) = a 0 + a 1 x + a 2 x 2 +L+ a n x n f
More informationNumerical Analysis for Statisticians
Kenneth Lange Numerical Analysis for Statisticians Springer Contents Preface v 1 Recurrence Relations 1 1.1 Introduction 1 1.2 Binomial CoefRcients 1 1.3 Number of Partitions of a Set 2 1.4 Horner's Method
More informationYEAR III SEMESTER - V
YEAR III SEMESTER - V Remarks Total Marks Semester V Teaching Schedule Hours/Week College of Biomedical Engineering & Applied Sciences Microsyllabus NUMERICAL METHODS BEG 389 CO Final Examination Schedule
More informationNUMERICAL COMPUTATION IN SCIENCE AND ENGINEERING
NUMERICAL COMPUTATION IN SCIENCE AND ENGINEERING C. Pozrikidis University of California, San Diego New York Oxford OXFORD UNIVERSITY PRESS 1998 CONTENTS Preface ix Pseudocode Language Commands xi 1 Numerical
More informationENGINEERING MATHEMATICS I. CODE: 10 MAT 11 IA Marks: 25 Hrs/Week: 04 Exam Hrs: 03 PART-A
ENGINEERING MATHEMATICS I CODE: 10 MAT 11 IA Marks: 25 Hrs/Week: 04 Exam Hrs: 03 Total Hrs: 52 Exam Marks:100 PART-A Unit-I: DIFFERENTIAL CALCULUS - 1 Determination of n th derivative of standard functions-illustrative
More informationMATHEMATICS (MATH) Calendar
MATHEMATICS (MATH) This is a list of the Mathematics (MATH) courses available at KPU. For information about transfer of credit amongst institutions in B.C. and to see how individual courses transfer, go
More informationAdvanced. Engineering Mathematics
Advanced Engineering Mathematics A new edition of Further Engineering Mathematics K. A. Stroud Formerly Principal Lecturer Department of Mathematics, Coventry University with additions by Dexter j. Booth
More informationCOURSE CONTRACT Course Name
COURSE CONTRACT Course Name Numerical Methods Course Code KPL Semester Odd /4 Days/ hours Tuesday/ 7.-. Place F8 Course Status compulsory Course Prerequisites. Calculus I. Calculus II. Linear Algebra 4.
More informationIndex. for Ɣ(a, z), 39. convergent asymptotic representation, 46 converging factor, 40 exponentially improved, 39
Index Abramowitz function computed by Clenshaw s method, 74 absolute error, 356 Airy function contour integral for, 166 Airy functions algorithm, 359 asymptotic estimate of, 18 asymptotic expansions, 81,
More informationMathematics for Chemists
Mathematics for Chemists MATHEMATICS FOR CHEMISTS D. M. Hirst Department of Molecular Sciences, university of Warwick, Coventry M D. M. Hirst 1976 All rights reserved. No part of this publication may be
More informationCS 450 Numerical Analysis. Chapter 8: Numerical Integration and Differentiation
Lecture slides based on the textbook Scientific Computing: An Introductory Survey by Michael T. Heath, copyright c 2018 by the Society for Industrial and Applied Mathematics. http://www.siam.org/books/cl80
More informationNumerical Methods FOR ENGINEERING AND SCIENCE SAUMYEN GUHA. Professor Department of Civil Engineering IIT Kanpur RAJESH SRIVASTAVA
Numerical Methods FOR ENGINEERING AND SCIENCE SAUMYEN GUHA Professor Department of Civil Engineering IIT Kanpur RAJESH SRIVASTAVA Professor Department of Civil Engineering IIT Kanpur Preface ix Brief Contents
More informationReferences. Microcomputer, Macmillan. Angell, I. O. and Jones, B. J. (1983b). Advanced Graphics with the Sinclair ZX
References Adams, A. G. (1969).'Areas under the normal curve', Algorithm 39, Computer J., 12. American National Standards Institute (1978). American National Standard for Minimal BASIC, ANSI X3.60. Angell,
More informationMATHEMATICS FOR ECONOMISTS. An Introductory Textbook. Third Edition. Malcolm Pemberton and Nicholas Rau. UNIVERSITY OF TORONTO PRESS Toronto Buffalo
MATHEMATICS FOR ECONOMISTS An Introductory Textbook Third Edition Malcolm Pemberton and Nicholas Rau UNIVERSITY OF TORONTO PRESS Toronto Buffalo Contents Preface Dependence of Chapters Answers and Solutions
More informationB.Sc. (Second Year)(Third Semester)(Mathematics)
B.Sc. Mathematics II Semester III - 1 - B.Sc. (Second Year)(Third Semester)(Mathematics) Paper No. MAT 301: (Number Theory) 1. Divisibility Theory in the integers: The Division Algorithm, The greatest
More informationCS 323: Numerical Analysis and Computing
CS 323: Numerical Analysis and Computing MIDTERM #2 Instructions: This is an open notes exam, i.e., you are allowed to consult any textbook, your class notes, homeworks, or any of the handouts from us.
More informationExact and Approximate Numbers:
Eact and Approimate Numbers: The numbers that arise in technical applications are better described as eact numbers because there is not the sort of uncertainty in their values that was described above.
More informationIntroduction. Finite and Spectral Element Methods Using MATLAB. Second Edition. C. Pozrikidis. University of Massachusetts Amherst, USA
Introduction to Finite and Spectral Element Methods Using MATLAB Second Edition C. Pozrikidis University of Massachusetts Amherst, USA (g) CRC Press Taylor & Francis Group Boca Raton London New York CRC
More informationDepartment of Mathematics. Revised Syllabus of M Phil/P hd Course work In operation w.e.f Academic Session 2017
Department of Mathematics Revised Syllabus of M Phil/P hd Course work In operation w.e.f Academic Session 2017 Paper-I Research Methodology-I Unit-I: Introduction and Motivation Meaning of research, research
More informationThird Edition. William H. Press. Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin. Saul A.
NUMERICAL RECIPES The Art of Scientific Computing Third Edition William H. Press Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin Saul A. Teukolsky Hans A. Bethe
More informationName of the Student: Unit I (Solution of Equations and Eigenvalue Problems)
Engineering Mathematics 8 SUBJECT NAME : Numerical Methods SUBJECT CODE : MA6459 MATERIAL NAME : University Questions REGULATION : R3 UPDATED ON : November 7 (Upto N/D 7 Q.P) (Scan the above Q.R code for
More informationMATLAB for Engineers
MATLAB for Engineers Adrian Biran Moshe Breiner ADDISON-WESLEY PUBLISHING COMPANY Wokingham, England Reading, Massachusetts Menlo Park, California New York Don Mills, Ontario Amsterdam Bonn Sydney Singapore
More informationThen, Lagrange s interpolation formula is. 2. What is the Lagrange s interpolation formula to find, if three sets of values. are given.
SRI RAMAKRISHNA INSTITUTE OF TECHNOLOGY, COIMBATORE- 10 DEPARTMENT OF SCIENCE AND HUMANITIES SUBJECT NUMERICAL METHODS & LINEAR PROGRAMMING ( SEMESTER IV ) IV- INTERPOLATION, NUMERICAL DIFFERENTIATION
More informationRomberg Integration and Gaussian Quadrature
Romberg Integration and Gaussian Quadrature P. Sam Johnson October 17, 014 P. Sam Johnson (NITK) Romberg Integration and Gaussian Quadrature October 17, 014 1 / 19 Overview We discuss two methods for integration.
More information