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Numerical Mathematics - Alfio Quarteroni, Riccardo Sacco, Fausto Saleri

Numerical Mathematics

Buch | Hardcover
674 Seiten
2000 | 2000. Corr. 2nd Printing ed.
Springer-Verlag New York Inc.
978-0-387-98959-4 (ISBN)
CHF 104,75 inkl. MwSt
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Provides the mathematical foundations of numerical methods, and analyzes their basic theoretical properties (stability, accuracy, computational complexity). This work is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems.
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.

Preface.- Part I: Getting Started.- Part II. Numerical Linear Algebra.- Part III: Around Functions and Functionals.- Part IV: Transforms, Differentiation and Problem Discretization.- References.- Index of MATLAB Programs.- Index

Erscheint lt. Verlag 21.4.2000
Reihe/Serie Texts in Applied Mathematics ; v. 37
Zusatzinfo 135 illus.
Verlagsort New York, NY
Sprache englisch
Maße 156 x 234 mm
Gewicht 1125 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-387-98959-5 / 0387989595
ISBN-13 978-0-387-98959-4 / 9780387989594
Zustand Neuware
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