Numerical Analysis, Books A La Carte Ed...3rd EditionTimothy Sauer Publisher: PEARSONISBN: 9780134697338
Numerical Analysis, Books A La Carte Ed...
Solutions for Numerical Analysis, Books A La Carte Edition (3rd Edition)
Problem 3E:
Evaluate P(x)=x64x4+2x2+1 at x=1/2 by considering P(x) as a polynomial in x2 and using nested...Problem 4E:
Evaluate the nested polynomial with base points P(x)=1+x1/2+x21/2+x31/2 at (a) x=5 and (b) x=1 .Problem 5E:
Evaluate the nested polynomial with base points Px=4+x4+x11+x23+x32 at (a) x=1/2 and (b) x=1/2 .Problem 6E:
Explain how to evaluate the polynomial for a given input x , using as few operations as possible....Problem 7E:
How many additions and multiplications are required to evaluate a degree n polynomial with base...Browse All Chapters of This Textbook
Chapter 0.1 - Evaluating A PolynomialChapter 0.2 - Binary NumbersChapter 0.3 - Floating Point Representation Of Real NumbersChapter 0.4 - Loss Of SignificanceChapter 0.5 - Review Of CalculusChapter 1.1 - The Bisection MethodChapter 1.2 - Fixed-point IterationChapter 1.3 - Limits Of AccuracyChapter 1.4 - Newton’s MethodChapter 1.5 - Root-finding Without Derivatives
Chapter 2.1 - Gaussian EliminationChapter 2.2 - The Lu FactorizationChapter 2.3 - Sources Of ErrorChapter 2.4 - The Pa = Lu FactorizationChapter 2.5 - Iterative MethodsChapter 2.6 - Methods For Symmetric Positive-definite MatricesChapter 2.7 - Nonlinear Systems Of EquationsChapter 3.1 - Data And Interpolating FunctionsChapter 3.2 - Interpolation ErrorChapter 3.3 - Chebyshev InterpolationChapter 3.4 - Cubic SplinesChapter 3.5 - Bézier CurvesChapter 4.1 - Least Squares And The Normal EquationsChapter 4.2 - A Survey Of ModelsChapter 4.3 - Qr FactorizationChapter 4.4 - Generalized Minimum Residual (gmres) MethodChapter 4.5 - Nonlinear Least SquaresChapter 5.1 - Numerical DifferentiationChapter 5.2 - Newton-cotes Formulas For Numerical IntegrationChapter 5.3 - Romberg IntegrationChapter 5.4 - Adaptive QuadratureChapter 5.5 - Gaussian QuadratureChapter 6.1 - Initial Value ProblemsChapter 6.2 - Analysis Of Ivp SolversChapter 6.3 - Systems Of Ordinary Differential EquationsChapter 6.4 - Runge–kutta Methods And ApplicationsChapter 6.5 - Variable Step-size MethodsChapter 6.6 - Implicit Methods And Stiff EquationsChapter 6.7 - Multistep MethodsChapter 7.1 - Shooting MethodChapter 7.2 - Finite Difference MethodsChapter 7.3 - Collocation And The Finite Element MethodChapter 8.1 - Parabolic EquationsChapter 8.2 - Hyperbolic EquationsChapter 8.3 - Elliptic EquationsChapter 8.4 - Nonlinear Partial Differential EquationsChapter 9.1 - Random NumbersChapter 9.2 - Monte Carlo SimulationChapter 9.3 - Discrete And Continuous Brownian MotionChapter 9.4 - Stochastic Differential EquationsChapter 10.1 - The Fourier TransformChapter 10.2 - Trigonometric InterpolationChapter 10.3 - The Fft And Signal ProcessingChapter 11.1 - The Discrete Cosine TransformChapter 11.2 - Two-dimensional Dct And Image CompressionChapter 11.3 - Huffman CodingChapter 11.4 - Modified Dct And Audio CompressionChapter 12.1 - Power Iteration MethodsChapter 12.2 - Qr AlgorithmChapter 12.3 - Singular Value DecompositionChapter 12.4 - Applications Of The SvdChapter 13.1 - Unconstrained Optimization Without DerivativesChapter 13.2 - Unconstrained Optimization With Derivatives
Book Details
Numerical Analysis, 3rd Edition is written for students of engineering, science, mathematics, and computer science who have completed elementary calculus and matri algebra. The book covers both standard topics and some of the more advanced numerical methods used by computational scientists and engineers, while maintaining a level appropriate for undergraduates.
Students learn to construct and eplore algorithms for solving science and engineering problems while situating these algorithms in a landscape of some potent and far-reaching principles. Specifically, the author cultivates a grasp of the fundamental concepts that permeate numerical analysis, including convergence, compleity, conditioning, compression, orthogonality, and its competing concerns of accuracy and efficiency.
Sample Solutions for this Textbook
We offer sample solutions for Numerical Analysis, Books A La Carte Edition (3rd Edition) homework problems. See examples below:
Given information: f(x)=x3−4x+1 Theorem used: Intermediate Value Theorem: If f is a continuous...Given information:Initial guesses x0=1 and x1=2 and equation is (a) x3=2x+2 . Calculation: With the...Chapter 2.7, Problem 1EChapter 3.5, Problem 1EChapter 4.5, Problem 1EChapter 5.5, Problem 1EChapter 6.7, Problem 1EChapter 7.3, Problem 1CPChapter 8.4, Problem 1E
More Editions of This Book
Corresponding editions of this textbook are also available below:
Student Solutions Manual for Numerical Analysis
2nd Edition
ISBN: 9780321783929
Numerical Analysis
2nd Edition
ISBN: 9780321783677
Numerical Analysis, Books A La Carte Edition (2nd Edition)
2nd Edition
ISBN: 9780321816764
EBK NUMERICAL ANALYSIS
3rd Edition
ISBN: 9780134699370
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Numerical Analysis
3rd Edition
ISBN: 9780134697376
Numerical Analysis
1st Edition
ISBN: 9780321268983
Student Solutions Manual For Numerical Analysis
1st Edition
ISBN: 9780321286864
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