an introduction to numerical computation

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An Introduction To Numerical Computation

Author : Wen Shen
ISBN : 9789814730099
Genre : Mathematics
File Size : 28. 7 MB
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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.

Introduction To Numerical Computation

Author : Lars Eldén
ISBN : 9144037279
Genre : Computers
File Size : 86. 56 MB
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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.

Introduction To Numerical Computations

Author : James S. Vandergraft
ISBN : 9781483267098
Genre : Mathematics
File Size : 40. 47 MB
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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.

An Introduction To Numerical Computations

Author : Sidney J. Yakowitz
ISBN : UOM:39015038956531
Genre : Computers
File Size : 49. 36 MB
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Computational Engineering Introduction To Numerical Methods

Author : Michael Schäfer
ISBN : 9783540306863
Genre : Mathematics
File Size : 47. 93 MB
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Fundamentals Of Numerical Computation

Author : Tobin A. Driscoll
ISBN : 9781611975086
Genre : Science
File Size : 86. 41 MB
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Fundamentals of Numerical Computation is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.

Introduction To Numerical Analysis

Author : Arnold Neumaier
ISBN : 0521336104
Genre : Mathematics
File Size : 47. 20 MB
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This 2001 textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

An Introduction To Numerical Methods And Analysis

Author : James F. Epperson
ISBN : 9781118626238
Genre : Mathematics
File Size : 51. 74 MB
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An Introduction To Numerical Analysis

Author : Endre Süli
ISBN : 0521007941
Genre : Mathematics
File Size : 62. 7 MB
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Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.

Scientific Computing And Differential Equations

Author : Gene H. Golub
ISBN : 9780080516691
Genre : Mathematics
File Size : 73. 4 MB
Format : PDF, ePub
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Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level. An introductory chapter gives an overview of scientific computing, indicating its important role in solving differential equations, and placing the subject in the larger environment Contains an introduction to numerical methods for both ordinary and partial differential equations Concentrates on ordinary differential equations, especially boundary-value problems Contains most of the main topics for a first course in numerical methods, and can serve as a text for this course Uses material for junior/senior level undergraduate courses in math and computer science plus material for numerical differential equations courses for engineering/science students at the graduate level

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