Concise Introduction to Numerical Analysis

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A01=A. C. Faul
advanced numerical analysis techniques
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Bisection Method
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Central Difference Operator
Chebyshev Polynomials
computation
computational mathematics
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Cubic Spline
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differential equations
Divided Difference Table
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error analysis
Fixed Point Iterative Methods
Floating Point Representation
Gauss Legendre Rule
Gaussian Quadrature
Gaussian Quadrature Rules
IBM System
Interpolating Polynomial
Kernel Theorem
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Local Truncation Error
Machine Epsilon
MATLAB programming
Monic Orthogonal Polynomials
Newton Cotes Rules
Newton's Method
Newton’s Method
numerical algorithms
numerical analysis
Orthogonal Polynomials
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Peano Kernel
Polynomial Interpolant
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Pseudo Randomness
Quadrature Rules
Regula Falsi Method
scientific computing
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Total Absolute Error

Product details

  • ISBN 9781498712187
  • Weight: 622g
  • Dimensions: 156 x 234mm
  • Publication Date: 15 Mar 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics.

Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem.

A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading.

The book uses MATLAB® implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book’s page at www.crcpress.com.

Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book’s page at www.crcpress.com.

This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.

A. C. Faul

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