An Introduction To Numerical Computations

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An Introduction To Numerical Computation

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Author : Wen Shen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016

An Introduction To Numerical Computation written by Wen Shen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Numerical analysis categories.

Developed during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes contain the material that can be covered in a semester, together with a few optional sections for additional reading. Rather than surveying a large number of algorithms, the book presents the most important computational methods and emphasizes the underlying mathematical ideas. In most chapters, graphs and drawings are relied on, to build up intuition. The notes are written in a rather colloquial style, presenting the subject matter in the same form as it can be explained in a classroom. For instructors, this will minimize the amount of effort required to prepare their blackboard presentations. As prerequisites, the book only relies on standard calculus, an introductory course on matrices, and some basic computer programming skills. As a new feature, these notes are supplemented by two sets of videos from the author's Youtube channel. These videos contain a complete set of live lectures given in Spring 2015, together with a complete set of short tutorials, from 5 to 15 minutes each. A set of homework problems is included at the end of each chapter. Homework projects cover a variety of applications, in connection with population dynamics, engineering, mechanics, image reconstruction, etc. A complete set of solutions is available for instructors, upon request.

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.

An Introduction To Numerical Computations

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Author : Sidney J. Yakowitz
language : en
Publisher: Prentice Hall
Release Date : 1989

An Introduction To Numerical Computations written by Sidney J. Yakowitz and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.

An Introduction To Numerical Methods In C

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Author : Brian Hilton Flowers
language : en
Publisher:
Release Date : 2000

An Introduction To Numerical Methods In C written by Brian Hilton Flowers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.

Designed for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text communicates an enthusiasm for the power of C++, an object-oriented language, as a tool for this kind of work. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition this revision includes new topics and methods throughout the text that clarify and enhance the treatment of the subject. From reviews of the first edition: 'If you are interested in numerical methods or are looking for a course text this book is worth your attention.'' Journal of the Association of C and C++ Users

An Introduction To Numerical Methods And Analysis

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Author : James F. Epperson
language : en
Publisher: John Wiley & Sons
Release Date : 2013-12-24

An Introduction To Numerical Methods And Analysis written by James F. Epperson 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 2013-12-24 with Mathematics categories.

Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises."—Zentralblatt MATH ". . . carefully structured with many detailed worked examples."—The Mathematical Gazette The Second Edition of the highly regarded An Introduction to Numerical Methods and Analysis provides a fully revised guide to numerical approximation. The book continues to be accessible and expertly guides readers through the many available techniques of numerical methods and analysis. An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and the Second Edition also features: Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB An appendix that contains proofs of various theorems and other material The book is an ideal textbook for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

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.

Introduction To Numerical Computations

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Author : James S. Vandergraft
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Introduction To Numerical Computations written by James S. Vandergraft and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.

Introduction To Numerical Methods

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Author : Peter Stark
language : en
Publisher: Simon & Schuster Books For Young Readers
Release Date : 1970

Introduction To Numerical Methods written by Peter Stark and has been published by Simon & Schuster Books For Young Readers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.

This text is for an introductory course in what is commonly called numerical analysis, numerical methods, or even numerical calculus. While it parallels the development in Course B4 on Numerical Calculus in the proposed Curriculum in Computer Science issued by the Association for Computing Machinery, this book is designed for any science or engineering student who has completed his first course in calculus, and who has at least a passing knowledge of elementary computer programming in FORTRAN. This is a practical book for the student who, in addition to seeing the theory of numerical methods, also likes to see the results; the predominant emphasis is on specific methods and computer solutions. It often points out where the theory departs from practice, and it illustrates each method of computer solution by an actual computer program and its results.

Numerical Methods With Matlab

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Author : Gerald W. Recktenwald
language : en
Publisher: Pearson
Release Date : 2000

Numerical Methods With Matlab written by Gerald W. Recktenwald and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.

Designed to give undergraduate engineering students a practical and rigorous introduction to the fundamentals of numerical computation. This book is a thoroughly modern exposition of classic numerical methods using MATLAB. The fundamental theory of each method is briefly developed. Rather than providing a detailed numerical analysis, the behavior of the methods is exposed by carefully designed numerical experiments. The methods are then exercised on several nontrivial example problems from engineering practice. The material in each chapter is organized as a progression from the simple to the complex. This leads the student to an understanding of the sophisticated numerical methods that are part of MATLAB. An integral part of the book is the Numerical Methods with MATLAB (NMM) Toolbox, which provides 150 programs and over forty data sets. The NMM Toolbox is a library of numerical techniques implemented in structured and clearly written code.

Introduction To Numerical Computation

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Author : Lars Eldén
language : en
Publisher: Professional Pub Service
Release Date : 2004-01-01

Introduction To Numerical Computation written by Lars Eldén and has been published by Professional Pub Service this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Computers categories.

This book is a translation and revision of an earlier textbook in Swedish by the first two authors. It is intended as a textbook for an introductory course in scientific computation at an advanced undergraduate level. In a modern programming environment such as MATLAB it is possible by means of simple commands to perform advanced calculations on a personal computer. In order to use such a powerful tool efficiently it is necessary to have a good knowledge of numerical methods and algorithms and to know about their properties. The book describes and analyses numerical methods for error analysis, differentiation, integration, interpolation and approximation, and the solution of non-linear equations, linear systems of algebraic equations and systems of ordinary differential equations. Principles and algorithms are illustrated by examples in MATLAB. At the end of each chapter questions on theory and computer exercises are given. Some of the MATLAB codes and supplementary material are available from the books web page.