Numerical Methods

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A01=Anne Greenbaum
A01=Tim P. Chartier
A01=Timothy P. Chartier
Absolute value
Accuracy and precision
Addition
Age Group_Uncategorized
Age Group_Uncategorized
Algebraic equation
Algorithm
Approximation
Approximation error
Author_Anne Greenbaum
Author_Tim P. Chartier
Author_Timothy P. Chartier
automatic-update
Big O notation
Boundary value problem
Category1=Non-Fiction
Category=PBKS
Category=PBWH
Chebyshev polynomials
Coefficient
Coefficient matrix
Computation
Condition number
COP=United States
Delivery_Delivery within 10-20 working days
Derivative
Difference quotient
Differential equation
Dimension
Division by zero
Eigenvalues and eigenvectors
eq_isMigrated=2
Equation
Estimation
Finite difference
Finite element method
Gaussian elimination
Identity matrix
Inequality (mathematics)
Initial value problem
Invertible matrix
Iteration
Iterative method
Language_English
Linear algebra
Linear combination
Linear equation
Main diagonal
Mathematician
Mathematics
MATLAB
Matrix (mathematics)
Monte Carlo method
Newton's method
Nonlinear system
Norm (mathematics)
Numerical analysis
Numerical integration
Order of accuracy
PA=Available
Partial derivative
Partial differential equation
Poisson's equation
Polynomial
Polynomial interpolation
Price_€100 and above
Probability
PS=Active
Quantity
Result
Scientific notation
Significant figures
Simultaneous equations
softlaunch
Solver
Subtraction
Summation
System of linear equations
Taylor series
Taylor's theorem
Theorem
Trapezoidal rule
Triangular matrix
Trigonometric functions
Truncation error (numerical integration)
Variable (mathematics)
Web page

Product details

  • ISBN 9780691151229
  • Weight: 1134g
  • Dimensions: 178 x 254mm
  • Publication Date: 01 Apr 2012
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. * Clear and concise exposition of standard numerical analysis topics * Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods * Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering * Promotes understanding of computational results through MATLAB exercises * Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination * Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun * Short discussions of the history of numerical methods interspersed throughout * Supplementary materials available online
Anne Greenbaum is professor of applied mathematics at the University of Washington. She is the author of Iterative Methods for Solving Linear Systems. Timothy P. Chartier is associate professor of mathematics at Davidson College.