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Introduction to Numerical Analysis by David F. Mayers and Endre Süli (2003, Perfect)
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Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations.
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521007941
ISBN-139780521007948
eBay Product ID (ePID)2345906
Product Key Features
Number of Pages444 Pages
LanguageEnglish
Publication NameIntroduction to Numerical Analysis
SubjectNumerical Analysis, Mathematical Analysis
Publication Year2003
TypeTextbook
AuthorDavid F. Mayers, Endre Süli
Subject AreaMathematics
FormatPerfect
Dimensions
Item Height1 in
Item Weight30.1 Oz
Item Length8.9 in
Item Width6 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2003-273860
TitleLeadingAn
Reviews"This book is a solid text in the basics of numerical mathematics, using more of a theoretical background than most. If you are looking for a book to use in a course in numerical analysis where there is an emphasis on the theoretical background, then this one will serve your needs." Journal of Recreational Mathematics, 'The book is well written and offers a good level of rigor for the intended readership ... This is a good book for mathematics students who come armed with some background in analysis. It is carefully written with a good level of rigor.' Eugene L. Allgower, Colorado State University, Society for Industrial and Applied Mathematics, 'The book is easy to read. It flows smoothly and I would consider it to be well worth the money and a useful update to the literature.' Mathematics Today, 'This is a very good textbook to introduce mathematics students to numerical analysis ... The authors have made a good choice of introductory topics in numerical analysis ... The book is very carefully written and can indeed be recommended as a textbook for a course for second or third year mathematics students ... It is a pleasure to browse through this book; it is written in a pleasant style and contains many historic references to ancient and modern mathematicians with some details about their lives.' Zentralblatt MATH, 'The book is well written and offers a good level of rigor for the intended readership … good book for mathematics students who come armed with some background in analysis.'Eugene L. Allgower, Colorado State University, 'The book is well written and offers a good level of rigor for the intended readership … This is a good book for mathematics students who come armed with some background in analysis. It is carefully written with a good level of rigor.'Eugene L. Allgower, Colorado State University, Society for Industrial and Applied Mathematics, 'This is an excellent book for introducing undergraduates to the fascinating discipline of numerical analysis. It is the result of many years of lectures held by the authors at the University of Oxford, a fact that explains the evident ability of the book of addressing questions frequently asked by students.' Internationale Mathematische Nachrichten, 'This is a very good textbook to introduce mathematics students to numerical analysis … The authors have made a good choice of introductory topics in numerical analysis … The book is very carefully written and can indeed be recommended as a textbook for a course for second or third year mathematics students … It is a pleasure to browse through this book; it is written in a pleasant style and contains many historic references to ancient and modern mathematicians with some details about their lives.'Zentralblatt MATH, 'The book is well written and offers a good level of rigor for the intended readership … good book for mathematics students who come armed with some background in analysis.' Eugene L. Allgower, Colorado State University, 'This is a very good textbook to introduce mathematics students to numerical analysis … The authors have made a good choice of introductory topics in numerical analysis … The book is very carefully written and can indeed be recommended as a textbook for a course for second or third year mathematics students … It is a pleasure to browse through this book; it is written in a pleasant style and contains many historic references to ancient and modern mathematicians with some details about their lives.' Zentralblatt MATH, 'The book is well written and offers a good level of rigor for the intended readership ... good book for mathematics students who come armed with some background in analysis.' Eugene L. Allgower, Colorado State University
IllustratedYes
Table Of Content1. Solution of equations by iteration; 2. Solution of systems of linear equations; 3. Special matrices; 4. Simultaneous nonlinear equations; 5. Eigenvalues and eigenvectors of a symmetric matrix; 6. Polynomial interpolation; 7. Numerical integration - I; 8. Polynomial approximation in the -norm; 9. Approximation in the 2-norm; 10. Numerical integration - II; 11. Piecewise polynomial approximation; 12. Initial Value Problems for ODEs; 13. Boundary Value Problems for ODEs; 14. The Finite Element Method; Appendix 1. An overview of results from real analysis; Appendix 2. WWW-resources.
SynopsisNumerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour., This textbook is written primarily for undergraduate mathematicians and also appeals to students working at an advanced level in other disciplines. The text begins with a clear motivation for the study of numerical analysis based on real-world problems. The authors then develop the necessary machinery including iteration, interpolation, boundary-value problems and finite elements. Throughout, the authors keep an eye on the analytical basis for the work and add historical notes on the development of the subject. There are numerous exercises for students., Based on a successful course at Oxford University, this book gives an authoritative introduction to numerical analysis. It is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour. Numerous exercises are provided.
LC Classification NumberQA297
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