عنوان
پدید آورنده
موضوع
رده
QA297 .K52 2018
QA297
.
K52
2018
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
131510704X
(Number (ISBN
1351605909
(Number (ISBN
1351605917
(Number (ISBN
1351605925
(Number (ISBN
1523120479
(Number (ISBN
9781315107042
(Number (ISBN
9781351605908
(Number (ISBN
9781351605915
(Number (ISBN
9781351605922
(Number (ISBN
9781523120475
Erroneous ISBN
1138093076
Erroneous ISBN
9781138093072
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
An Introduction to Numerical Methods :
General Material Designation
[Book]
Other Title Information
a MATLAB Approach, Fourth Edition /
First Statement of Responsibility
Abdelwahab Kharab, Ronald Guenther.
EDITION STATEMENT
Edition Statement
Fourth edition.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton, FL :
Name of Publisher, Distributor, etc.
CRC Press,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource :
Other Physical Details
text file, PDF
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1: Introduction; 1.1 ABOUT MATLAB and MATLAB GUI (Graphical User Interface); 1.2 AN INTRODUCTION TO MATLAB; 1.2.1 Matrices and matrix computation; 1.2.2 Polynomials; 1.2.3 Output format; 1.2.4 Planar plots; 1.2.5 3-D mesh plots; 1.2.6 Function files; 1.2.7 Defining functions; 1.2.8 Relations and loops; 1.3 TAYLOR SERIES; 2: Number System and Errors; 2.1 FLOATING-POINT ARITHMETIC; 2.2 ROUND-OFF ERRORS; 2.3 TRUNCATION ERROR; 2.4 INTERVAL ARITHMETIC; 3: Roots of Equations; 3.1 THE BISECTION METHOD.
Text of Note
11.2 QUADRATURE RULES11.2.1 Trapezoidal rule; 11.2.2 The Gauss-Nyström method; 11.3 THE SUCCESSIVE APPROXIMATION METHOD; 11.4 SCHMIDT's METHOD; 11.5 VOLTERRA-TYPE INTEGRAL EQUATIONS; 11.5.1 Euler's method; 11.5.2 Heun's method; APPLED PROBLEMS; 12: Numerical Methods for Differential Equations; 12.1 EULER'S METHOD; 12.2 ERROR ANALYSIS; 12.3 HIGHER-ORDER TAYLOR SERIES METHODS; 12.4 RUNGE-KUTTA METHODS; 12.5 MULTISTEP METHODS; 12.6 ADAMS-BASHFORTH METHODS; 12.7 PREDICTOR-CORRECTOR METHODS; 12.8 ADAMS-MOULTION; 12.9 NUMERICAL STABILITY.
Text of Note
3.2 FIXED POINT ITERATION3.3 THE SECANT METHOD; 3.4 NEWTON'S METHOD; 3.5 CONVERGENCE OF THE NEWTON AND SECANT METHODS; 3.6 MULTIPLE ROOTS AND THE MODIFIED NEWTON METHOD; 3.7 NEWTON'S METHOD FOR NONLINEAR SYSTEMS; APPLIED PROBLEMS; 4: System of Linear Equations; 4.1 MATRICES AND MATRIX OPERATIONS; 4.2 NAIVE GAUSSIAN ELIMINATION; 4.3 GAUSSIAN ELIMINATION WITH SCALED PARTIAL PIVOTING; 4.4 LU DECOMPOSITION; 4.4.1 Crout's and Cholesky's methods; 4.4.2 Gaussian elimination method; 4.5 ITERATIVE METHODS; 4.5.1 Jacobi iterative method; 4.5.2 Gauss-Seidel iterative method; 4.5.3 Convergence.
Text of Note
8.1 ANALYSIS OF SINGLE-VARIABLE FUNCTIONS8.2 LINE SEARCH METHODS; 8.2.1 Newton's method; 8.2.2 Golden section search; 8.2.3 Fibonacci Search; 8.2.4 Parabolic Interpolation; 8.3 MINIMIZATION USING DERIVATIVES; 8.3.1 Newton's method; 8.3.2 Newton's method; APPLIED PROBLEMS; 9: Numerical Differentiation; 9.1 NUMERICAL DIFFERENTIATION; 9.2 RICHARDSON'S FORMULA; APPLIED PROBLEMS; 10: Numerical Integration; 10.1 TRANPEZOIDAL RULE; 10.2 SIMPSON'S RULE; 10.3 ROMBERG ALGORITHM; 10.4 GAUSSIAN QUADRATURE; APPLED PROBLEMS; 11: Numerical Methods for Linear Integral Equations; 11.1 INTRODUCTION.
Text of Note
APPLIED PROBLEMS5: Interpolation; 5.1 POLYNOMIAL INTERPOLATION THEORY; 5.2 NEWTON'S DIVIDED-DIFFERENCE INTERPOLATING POLYNOMIAL; 5.3 THE ERROR OF THE INTERPOLATING POLYNOMIAL; 5.4 LAGRANGE INTERPOLATING POLYNOMIAL; APPLIED PROBLEMS; 6: Interpolation with Spline Functions; 6.1 PIECEWISE LINEAR INTERPOLATION; 6.2 QUADRATIC SPLINE; 6.3 NATURAL CUBIC SPLINES; APPLIED PROBLEMS; 7: The Method of Least-Squares; 7.1 LINEAR LEAST-SQUARES; 7.2 LEAST-SQUARES POLYNOMIAL; 7.3 NONLINEAR LEAST-SQUARES; 7.3.1 Exponential form; 7.3.2 Hyperbolic form; APPLIED PROBLEMS; 8: Numerical Optimization.
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SUMMARY OR ABSTRACT
Text of Note
"Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos."--Provided by publisher.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Ingram Content Group
Stock Number
9781351605915
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781351605915
TOPICAL NAME USED AS SUBJECT
Mathematical physics.
Mechanical engineering.
Mechanics, Applied.
Numerical analysis.
Mathematical physics.
MATHEMATICS-- Numerical Analysis.
Mechanical engineering.
Mechanics, Applied.
Numerical analysis.
(SUBJECT CATEGORY (Provisional
MAT003000
MAT021000
TEC009070
DEWEY DECIMAL CLASSIFICATION
Number
[
E
]
Number
[
E
]
Number
SCCM2520
Number
SCEC25
Number
SCEC27
Number
WB021
Number
WB057
Number
WB075
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA297
Book number
.
K52
2018
PERSONAL NAME - PRIMARY RESPONSIBILITY
Kharab, Abdelwahab
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Guenther, Ronald B.
ORIGINATING SOURCE
Date of Transaction
20200822160920.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
