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The Resource Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, (electronic resource)
Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, (electronic resource)
Resource Information
The item Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performance on examples and counterexamples which outline their pros and cons. This is done using the MATLABTM software environment which is userfriendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLABTM computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of reallife problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in engineering, mathematics, physics and computer sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. From the reviews of the first edition: "This is an excellent and modern textbook in numerical mathematics! It is primarily addressed to undergraduate students in mathematics, physics, computer science and engineering. But you will need a weekly 4 hour lecture for 3 terms lecture to teach all topics treated in this book! Well known methods as well as very new algorithms are given. The methods and their performances are demonstrated by illustrative examples and computer examples. Exercises shall help the reader to understand the theory and to apply it. MATLABsoftware satisfies the need of userfriendliness. [....] In the reviewers opinion, the presented book is the best textbook in numerical mathematics edited in the last ten years." Zentralblatt für Mathematik 2001, 991.38387
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (664 p.)
 Note
 Description based upon print version of record
 Contents

 Series Preface
 Preface
 I Getting Started
 1. Foundations of Matrix Analysis
 2 Principles of Numerical Mathematics
 II Numerical Linear Algebra
 3 Direct Methods for the Solution of Linear Systems
 4 Iterative Methods for Solving Linear Systems
 5 Approximation of Eigenvalues and Eigenvectors
 III Around Functions and Functionals
 6 Rootfinding for Nonlinear Equations
 7 Nonlinear Systems and Numerical Optimization
 8 Polynomial Interpolation
 9 Numerical Integration
 IV Transforms, Differentiation and Problem Discretization
 10 Orthogonal Polynomials in Approximation Theory
 11 Numerical Solution of Ordinary Differential Equations
 12 TwoPoint Boundary Value Problems
 13 Parabolic and Hyperbolic Initial Boundary Value Problems
 References
 Index of MATLAB Programs
 Index
 Isbn
 9783540498094
 Label
 Numerical Mathematics
 Title
 Numerical Mathematics
 Statement of responsibility
 by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri
 Language

 eng
 eng
 Summary
 Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performance on examples and counterexamples which outline their pros and cons. This is done using the MATLABTM software environment which is userfriendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLABTM computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of reallife problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in engineering, mathematics, physics and computer sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. From the reviews of the first edition: "This is an excellent and modern textbook in numerical mathematics! It is primarily addressed to undergraduate students in mathematics, physics, computer science and engineering. But you will need a weekly 4 hour lecture for 3 terms lecture to teach all topics treated in this book! Well known methods as well as very new algorithms are given. The methods and their performances are demonstrated by illustrative examples and computer examples. Exercises shall help the reader to understand the theory and to apply it. MATLABsoftware satisfies the need of userfriendliness. [....] In the reviewers opinion, the presented book is the best textbook in numerical mathematics edited in the last ten years." Zentralblatt für Mathematik 2001, 991.38387
 http://library.link/vocab/creatorName
 Quarteroni, Alfio
 Dewey number
 519.4
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 2hlBcvwI8t0
 PQboMwJEs0g
 tD1MmE5e73g
 Language note
 English
 LC call number
 T5757.97
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Sacco, Riccardo.
 Saleri, Fausto.
 Series statement
 Texts in Applied Mathematics,
 Series volume
 37
 http://library.link/vocab/subjectName

 Mathematics
 Numerical analysis
 Engineering mathematics
 Applications of Mathematics
 Mathematics, general
 Numerical Analysis
 Mathematical and Computational Engineering
 Label
 Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Series Preface  Preface  I Getting Started  1. Foundations of Matrix Analysis  2 Principles of Numerical Mathematics  II Numerical Linear Algebra  3 Direct Methods for the Solution of Linear Systems  4 Iterative Methods for Solving Linear Systems  5 Approximation of Eigenvalues and Eigenvectors  III Around Functions and Functionals  6 Rootfinding for Nonlinear Equations  7 Nonlinear Systems and Numerical Optimization  8 Polynomial Interpolation  9 Numerical Integration  IV Transforms, Differentiation and Problem Discretization  10 Orthogonal Polynomials in Approximation Theory  11 Numerical Solution of Ordinary Differential Equations  12 TwoPoint Boundary Value Problems  13 Parabolic and Hyperbolic Initial Boundary Value Problems  References  Index of MATLAB Programs  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (664 p.)
 Form of item
 online
 Isbn
 9783540498094
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/b98885
 Specific material designation
 remote
 System control number

 (CKB)1000000000282886
 (EBL)324185
 (SSID)ssj0000319240
 (PQKBManifestationID)11265727
 (PQKBTitleCode)TC0000319240
 (PQKBWorkID)10336850
 (PQKB)10065989
 (SSID)ssj0000772526
 (PQKBManifestationID)12300486
 (PQKBTitleCode)TC0000772526
 (PQKBWorkID)10835327
 (PQKB)10429262
 (DEHe213)9783540498094
 (MiAaPQ)EBC324185
 (EXLCZ)991000000000282886
 Label
 Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, (electronic resource)
 Note
 Description based upon print version of record
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Series Preface  Preface  I Getting Started  1. Foundations of Matrix Analysis  2 Principles of Numerical Mathematics  II Numerical Linear Algebra  3 Direct Methods for the Solution of Linear Systems  4 Iterative Methods for Solving Linear Systems  5 Approximation of Eigenvalues and Eigenvectors  III Around Functions and Functionals  6 Rootfinding for Nonlinear Equations  7 Nonlinear Systems and Numerical Optimization  8 Polynomial Interpolation  9 Numerical Integration  IV Transforms, Differentiation and Problem Discretization  10 Orthogonal Polynomials in Approximation Theory  11 Numerical Solution of Ordinary Differential Equations  12 TwoPoint Boundary Value Problems  13 Parabolic and Hyperbolic Initial Boundary Value Problems  References  Index of MATLAB Programs  Index
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (664 p.)
 Form of item
 online
 Isbn
 9783540498094
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/b98885
 Specific material designation
 remote
 System control number

 (CKB)1000000000282886
 (EBL)324185
 (SSID)ssj0000319240
 (PQKBManifestationID)11265727
 (PQKBTitleCode)TC0000319240
 (PQKBWorkID)10336850
 (PQKB)10065989
 (SSID)ssj0000772526
 (PQKBManifestationID)12300486
 (PQKBTitleCode)TC0000772526
 (PQKBWorkID)10835327
 (PQKB)10429262
 (DEHe213)9783540498094
 (MiAaPQ)EBC324185
 (EXLCZ)991000000000282886
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