Scientific Computing with MATLAB and Octave (Texts in Computational Science and Engineering Book 2) 🔍
Alfio Quarteroni, Fausto Saleri, Paola Gervasio (auth.) Springer-Verlag Berlin Heidelberg, Texts in Computational Science and Engineering, Texts in Computational Science and Engineering 2, 2, 2010
English [en] · DJVU · 6.4MB · 2010 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
description
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based 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 using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material.
Alternative filename
lgrsnf/M_Mathematics/MN_Numerical methods/Quarteroni. Scientific computing with MATLAB (2003)(ISBN 3540443630)(600dpi)(T)(267s)_MN_.djvu
Alternative filename
nexusstc/Scientific Computing with MATLAB and Octave/2136df20a0e731bb5aa28b4a22bfda3f.djvu
Alternative filename
scihub/10.1007/978-3-642-12430-3.pdf
Alternative filename
zlib/Engineering/Alfio Quarteroni, Fausto Saleri, Paola Gervasio (auth.)/Scientific Computing with MATLAB and Octave_445011.djvu
Alternative title
Introduction to scientific computing : problems and exercises solved by MATLAB
Alternative title
Scientific Computing with MATLAB and Octave: Second Edition
Alternative title
Scientific computing with MATLAB and Octave with 12 tables
Alternative title
Introduzione al calcolo scientifico
Alternative author
Quarteroni, Alfio, Saleri, Fausto, Gervasio, Paola
Alternative publisher
Spektrum Akademischer Verlag. in Springer-Verlag GmbH
Alternative publisher
Springer Spektrum. in Springer-Verlag GmbH
Alternative publisher
Steinkopff. in Springer-Verlag GmbH
Alternative edition
Texts in computational science and engineering -- v. 2, 3rd ed., Heidelberg, New York, Germany, 2010
Alternative edition
Texts in computational science and engineering, 3rd ed. 2010, Berlin, Heidelberg, 2010
Alternative edition
Texts in computational science and engineering, 2, 2nd ed, Berlin ; New York, ©2006
Alternative edition
Texts in computational science and engineering -- 2, Berlin [etc.], Germany, 2003
Alternative edition
Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2007
Alternative edition
Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2010
Alternative edition
Springer Nature (Textbooks & Major Reference Works), Berlin, Heidelberg, 2012
Alternative edition
Texts in computational science and engineering, 2, 2nd ed, Berlin, c2006
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
Texts in Computational Science and Engineering 2, 1, 2010
Alternative edition
2nd ed. edition, October 5, 2006
Alternative edition
1 edition, August 27, 2003
Alternative edition
3rd ed. 2010, 2010-06-29
Alternative edition
3rd Edition., 2010
Alternative edition
Germany, Germany
Alternative edition
2nd, US, 2006
Alternative edition
Apr 11, 2013
metadata comments
Kolxo3 -- 18
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sm20875037
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metadata comments
类型: 图书
metadata comments
丛书名: Texts in Computational Science and Engineering
metadata comments
出版日期: 2006
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出版社: Springer Berlin Heidelberg
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"Title of the Italian original edition: Introduzione al Calcolo Scientifico, Springer-Verlag Italia, Milano, 2006"--T.p. verso.
Includes bibliographical references (p. [347]-351) and index.
metadata comments
Includes bibliographical references (p. [245]-248) and index.
metadata comments
РГБ
metadata comments
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=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
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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 ordinary and partial differential equations. To make the presentation concrete and appealing, the programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations. This book is presently being translated or has appeared in the following Italian, German, French, Chinese and Spanish. Reviews for "Scientific Computing with MATLAB" - 1st " ... Scientific Computing with MATLAB is written in a clear and concise style, figures, tables and formula boxes complement the explanations... The whole book is an invitation, if not a request, of the authors to the reader to play with MATLAB, apply its powerful menagerie of functions to solve the given (or own) problems - in brief, supervised learning by doing .... is a stimulating introductory textbook about numerical methods that successfully combines mathematical theory with programming experience..." Anselm A.C. Horn, Journal of Molecular Modeling 2004 "... An excellent addition to academic libraries and university bookstores, this book will be useful for self-study and as a complement to other MATLAB-based books. Highly recommended. Upper-division undergraduates through professionals." S.T. Karris, Choice 2003
Alternative description
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002
Alternative 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 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 ordinary and partial differential equations. To make the presentation concrete and appealing, the programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations. This book is presently being translated or has appeared in the following languages: Italian, German, French, Chinese and Spanish
Alternative description
Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- 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 di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game that computers adopt when storing and operating with realand complex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate 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 s- ci?c applications.
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 Introduction To Scientific Computing Illustrates Several Numerical Methods For The Computer Solution Of Certain Classes Of Mathematical Problems. 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, The Programming Environment Matlab Is Adopted As A Faithful Companion.
Alternative description
Front Matter....Pages I-XVI
What can’t be ignored....Pages 1-40
Nonlinear equations....Pages 41-74
Approximation of functions and data....Pages 75-106
Numerical differentiation and integration....Pages 107-128
Linear systems....Pages 129-179
Eigenvalues and eigenvectors....Pages 181-199
Ordinary differential equations....Pages 201-254
Numerical approximation of boundary-value problems....Pages 255-302
Solutions of the exercises....Pages 303-345
Back Matter....Pages 347-366
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.
date open sourced
2009-07-20
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