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Scientific Computing with MATLAB (Texts in Computational Science and Engineering 2) 🔍
Alfio Quarteroni; Fausto Saleri Springer Spektrum. in Springer-Verlag GmbH, Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2012
English [en] · PDF · 12.8MB · 2012 · 📗 Book (unknown) · 🚀/ia · Save
description
'It is important to prove, is more but it important to improve.'This textbook is an introduction to Scientific Computing. We will illustrate several numerical methods for the computer solution of cer­ tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. With this aim, in Chapter 1 we will illustrate the rules of the game that computers adopt when storing and operating with real and complex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will adopt the programming environment MATLAB ® 1 as a faithful companion. We will gradually discover its principal commands, statements and con­ structs. We will show how to execute all the algorithms that we intro­ duce throughout the book. This will enable us to furnish an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raised through exercises and examples, often stemming from specific ap­ plications.
Alternative title
Introduction to scientific computing : problems and exercises solved by MATLAB
Alternative author
Quarteroni, Alfio, Saleri, Fausto
Alternative publisher
Steinkopff. in Springer-Verlag GmbH
Alternative publisher
Berlin ; New York: Springer
Alternative edition
Texts in computational science and engineering -- 2, Berlin [etc.], Germany, 2003
Alternative edition
Texts in computational science and engineering, v. 2, London, 2003
Alternative edition
Texts in computational science and engineering, 2, Berlín, 2003
Alternative edition
1 edition, August 27, 2003
Alternative edition
Germany, Germany
metadata comments
Includes bibliographical references (p. [245]-248) and index.
metadata comments
РГБ
metadata comments
Russian State Library [rgb] MARC:
=001 002709476
=003 OCoLC
=005 20051011140924.0
=008 030529s2003\\\\gw\a\\\\\b\\\\001\0\eng\\
=017 \\ $a И9956-05
=020 \\ $a 3540443630 (hard cover)
=040 \\ $a RuMoRKP $b rus $d RuMoRGB $e rcr
=041 0\ $a eng $h ita
=044 \\ $a gw
=072 \7 $a Q $2 lcco
=084 \\ $a В192.1с31я73-1 $2 rubbk
=100 1\ $a Quarteroni, Alfio
=245 00 $a Scientific computing with MATLAB $c Alfio Quarteroni, Fausto Saleri
=260 \\ $a Berlin [etc.] $b Springer $c cop. 2003
=300 \\ $a ix, 257 с. $b ил. $c 24 см
=490 0\ $a Texts in computational science and engineering $x 1611-0994 $v 2
=504 \\ $a Includes bibliographical references (p. [245]-248) and index.
=505 0\ $a What can't be ignored -- Nonlinear equations -- Approximation of functions and data -- Numerical differentiation and integration -- Linear systems -- Eigenvalues and eigenvectors -- Ordinary differential equations -- Numerical methods for boundary-value problems -- Solutions of the exercises.
=650 \7 $a Физико-математические науки -- Математика -- Вычислительная математика -- Приближённые вычисления -- Численные методы -- Применение ЭВМ -- Учебник для высшей школы $2 rubbk
=700 1\ $a Saleri, Fausto
=852 4\ $a РГБ $b FB $j 5 05-8/140 $x 90
Alternative description
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete and appealing, the programming environment Matlab is adopted as a faithful companion. All the algorithms introduced throughout the book are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problems raised through exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and indicate the bibliographical references for a more comprehensive treatment of the material.
Alternative description
"This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations."--Jacket.
Alternative description
What can't be ignored
Nonlinear equations
Approximation of functions and data
Numerical differentiation and integration
Linear systems
Eigenvalues and eigenvectors
Ordinary differential equations
Numerical methods for boundary-value problems
Solutions of the exercises.
Alternative description
In this book we will systematically use elementary mathematical concepts which the reader should know already, yet he or she might not recall them immediately.
Alternative description
ix, 257 pages : 24 cm
Includes bibliographical references (p. [245]-248) and index
date open sourced
2023-06-28
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