عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780387227504
(Number (ISBN
9781475773941
NATIONAL BIBLIOGRAPHY NUMBER
Number
b508864
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Numerical Mathematics
General Material Designation
[Book]
First Statement of Responsibility
by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2007.
SERIES
Series Title
Texts in Applied Mathematics,
Volume Designation
37
ISSN of Series
0939-2475 ;
CONTENTS NOTE
Text of Note
Getting Started -- Foundations of Matrix Analysis -- Principles of Numerical Mathematics -- Numerical Linear Algebra -- Direct Methods for the Solution of Linear Systems -- Iterative Methods for Solving Linear Systems -- Approximation of Eigenvalues and Eigenvectors -- Around Functions and Functionals -- Rootfinding for Nonlinear Equations -- Nonlinear Systems and Numerical Optimization -- Polynomial Interpolation -- Numerical Integration -- Transforms, Differentiation and Problem Discretization -- Orthogonal Polynomials in Approximation Theory -- Numerical Solution of Ordinary Differential Equations -- Two-Point Boundary Value Problems -- Parabolic and Hyperbolic Initial Boundary Value Problems.
0
SUMMARY OR ABSTRACT
Text of Note
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 performances on examples and counterexamples which outline their pros and cons. This is done using the MATLAB software environment which is user-friendly 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 MATLAB computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life 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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781475773941
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Analysis (Mathematics).
Applied mathematics.
Engineering mathematics.
Mathematical analysis.
Mathematics.
Numerical analysis.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Quarteroni, Alfio.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Sacco, Riccardo.
Saleri, Fausto.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307160400.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
