Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (13 chapters)
-
Front Matter
-
Getting Started
-
Around Functions and Functionals
-
Transforms, Differentiation and Problem Discretization
-
Back Matter
About this book
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.
Reviews
From the reviews:
"I found many of the examples to be quite interesting. I find no fault with any of the theoretical portions of the text. The authors are quite thorough in their discussion of the theory underlying each of the topics…This text uses MATLAB for programming the numerical codes. This is a very good choice…It contains a lot of interesting and useful information for experienced users of numerical methods…"
John Strikwerda, SIAM Review 2002, Vol. 44, Issue 1, p. 160-162
"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 tounderstand the theory and to apply it. MATLAB-software satisfies the need of user-friendliness. "The spread of numerical software presents an enrichment for the scientific community. However, the user has to make the correct choice of the method which best suits at hand. As a matter of fact, no black-box methods or algorithms exist that can effectively and accurately solve all kinds of problems." All MATLAB-programs are available by internet. ... There are a lot of numerical examples and impressing figures and very useful applications, as for instance: Regularization of a triangular grid, analysis of an electric network and of a nonlinear electrical circuit, finite difference analysis of beam bending, analysis of the buckling of a beam, free dynamic vibration of a bridge, analysis of the state equation for a real gas, solution of a nonlinear system arising from semiconductor device simulation, finite element analysis of a clamped beam, geometric reconstruction based on computer tomographies, computation of the wind action on a sailboat mast, numerical solution of blackbody radiation, compliance of arterial walls, lubrication of a slider, heat conduction in a bar, a hyperbolic model for blood flow interaction with arterial walls. It is a joy to read the book, it is carefully written and well printed. ..... In the reviewers opinion, the presented book is the best textbook in numerical mathematics edited in the last ten years."
W.H.Schmidt, Zentralblatt für Mathematik 2001, 991.38387
Authors and Affiliations
-
Department of Mathematics, Ecole Polytechnique, Fédérale de Lausanne, Lausanne, Switzerland
Alfio Quarteroni
-
Dipartimento di Matematica, Politecnico di Milano, Milan, Italy
Riccardo Sacco
-
Dipartimento di Matematica, “F. Enriques”, Università degli Studi di Milano, Milan, Italy
Fausto Saleri
Bibliographic Information
Book Title: Numerical Mathematics
Authors: Alfio Quarteroni, Riccardo Sacco, Fausto Saleri
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-0-387-22750-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2007
eBook ISBN: 978-0-387-22750-4Published: 26 January 2017
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XX, 655
Number of Illustrations: 126 b/w illustrations
Topics: Applications of Mathematics, Analysis, Numerical Analysis