Numerical Analysis I

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An Introduction To Numerical Analysis

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Author : Endre Süli
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-28

An Introduction To Numerical Analysis written by Endre Süli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-28 with Mathematics categories.

Numerical 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.

Introduction To Numerical Analysis

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Author : A. Neumaier
language : en
Publisher: Cambridge University Press
Release Date : 2001-10

Introduction To Numerical Analysis written by A. Neumaier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10 with Mathematics categories.

This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

An Introduction To Numerical Analysis

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Author : Kendall Atkinson
language : en
Publisher: John Wiley & Sons
Release Date : 1991-01-16

An Introduction To Numerical Analysis written by Kendall Atkinson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-16 with Mathematics categories.

This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary value problems, the conjugate gradient method, and the least squares solutions of systems of linear equations. Contains many problems, some with solutions.

Numerical Analysis

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Author : M. Schatzman
language : en
Publisher: Oxford University Press, USA
Release Date : 2002

Numerical Analysis written by M. Schatzman and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Numerical analysis explains why numerical computations work, or fail. This book is divided into four parts. Part I starts Part I starts with a guided tour of floating number systems and machine arithmetic. The exponential and the logarithm are constructed from scratch to present a new point of view on questions well-known to the reader, and the needed knowledge of linear algebra is summarized. Part II starts with polynomial approximation (polynomial interpolation, mean-square approximation, splines). It then deals with Fourier series, providing the trigonometric version of least square approximations, and one of the most important numerical algorithms, the fast Fourier transform. Any scientific computation program spends most of its time solving linear systems or approximating the solution of linear systems, even when trying to solve non-linear systems. Part III is therefore about numerical linear algebra, while Part IV treats a selection of non-linear or complex problems: resolution of linear equations and systems, ordinary differential equations, single step and multi-step schemes, and an introduction to partial differential equations. The book has been written having in mind the advanced undergraduate students in mathematics who are interested in the spice and spirit of numerical analysis. The book does not assume previous knowledge of numerical methods. It will also be useful to scientists and engineers wishing to learn what mathematics has to say about the reason why their numerical methods work - or fail.

Numerical Analysis For Science Engineering And Technology

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Author : Said Gamil Ahmed
language : en
Publisher: Bentham Science Publishers
Release Date : 2018-05-02

Numerical Analysis For Science Engineering And Technology written by Said Gamil Ahmed and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.

This textbook is intended as a guide for undergraduate and graduate students in engineering, science and technology courses. Chapters of the book cover the numerical concepts of errors, approximations, differential equations and partial differential equations. The simple presentation of numerical concepts and illustrative examples helps students and general readers to understand the topics covered in the text.

A First Course In Numerical Analysis

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Author : Anthony Ralston
language : en
Publisher: Courier Corporation
Release Date : 2001-01-01

A First Course In Numerical Analysis written by Anthony Ralston and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.

Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Explorations In Numerical Analysis Python Edition

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Author : James V Lambers
language : en
Publisher: World Scientific
Release Date : 2021-01-14

Explorations In Numerical Analysis Python Edition written by James V Lambers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-14 with Mathematics categories.

This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.

Numerical Analysis

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Author : Gene Howard Golub
language : en
Publisher: American Mathematical Soc.
Release Date : 1978-12-31

Numerical Analysis written by Gene Howard Golub and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-12-31 with Mathematics categories.

Afternotes On Numerical Analysis

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Author : G. W. Stewart
language : en
Publisher: SIAM
Release Date : 1996-01-01

Afternotes On Numerical Analysis written by G. W. Stewart and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.

This book presents the central ideas of modern numerical analysis in a vivid and straightforward fashion with a minimum of fuss and formality. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis. To clarify what he was teaching, he wrote down each lecture immediately after it was given. The result reflects the wit, insight, and verbal craftmanship which are hallmarks of the author. Simple examples are used to introduce each topic, then the author quickly moves on to the discussion of important methods and techniques. With its rich mixture of graphs and code segments, the book provides insights and advice that help the reader avoid the many pitfalls in numerical computation that can easily trap an unwary beginner. Written by a leading expert in numerical analysis, this book is certain to be the one you need to guide you through your favorite textbook.

Numerical Analysis

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Author : Richard L. Burden
language : en
Publisher: Brooks/Cole
Release Date : 1981

Numerical Analysis written by Richard L. Burden and has been published by Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.