{"product_id":"applied-numerical-methods-an-introduction-9798345471111","title":"Applied Numerical Methods: An Introduction","description":"\u003cp\u003e • Author(s): P. Amaleswari\u003cbr\u003e • Publisher: Independently Published\u003cbr\u003e • Publisher Imprint: Independently Published\u003cbr\u003e • BISAC: Differential Equations - General\u003c\/p\u003e\u003cp\u003e1. \u003cb\u003eAlgebraic and Transcendental Equations \u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eOverview\u003c\/b\u003e: This section introduces methods for solving algebraic and transcendental equations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eKey Topics\u003c\/b\u003e: \u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eIteration, Secant, Newton-Raphson, and Regula-Falsi Methods\u003c\/b\u003e: Methods for iterative solutions.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eError Analysis\u003c\/b\u003e: Discusses errors in numerical calculations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eBisection Method\u003c\/b\u003e: A root-finding method for continuous functions.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e2. \u003cb\u003eSystem of Linear Equations and Eigenvalue Problems \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eOverview\u003c\/b\u003e: Focuses on solving systems of linear equations and eigenvalue problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eKey Topics\u003c\/b\u003e: \u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eSolving Linear Equations\u003c\/b\u003e: Gauss-Seidel iteration and LU-Decomposition.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eSpecial Matrices\u003c\/b\u003e: Tridiagonal systems and the Thomas algorithm.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eEigenvalue\/Eigenvector Computation\u003c\/b\u003e: Jacobi and Power methods for eigenvalues.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e3. \u003cb\u003eInterpolation \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eOverview\u003c\/b\u003e: Explains interpolation techniques for estimating unknown values.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eKey Topics\u003c\/b\u003e: \u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eNewton's Interpolation\u003c\/b\u003e: Forward and backward interpolation formulas.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eOther Formulas\u003c\/b\u003e: Central difference, Lagrange, and divided difference formulas.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eSpline Interpolation\u003c\/b\u003e: Linear and cubic spline methods.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e4. \u003cb\u003eNumerical Differentiation and Integration \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eOverview\u003c\/b\u003e: Covers techniques for differentiation and integration of tabulated functions.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eKey Topics\u003c\/b\u003e: \u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eNumerical Differentiation\u003c\/b\u003e: Derivatives from discrete data.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eNumerical Integration\u003c\/b\u003e: Newton-Cotes, Romberg's method, and Gaussian integer methods.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e5. \u003cb\u003eNumerical Solution of Ordinary Differential Equations \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eOverview\u003c\/b\u003e: Methods for solving ODEs numerically.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eKey Topics\u003c\/b\u003e: \u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eRunge-Kutta Methods\u003c\/b\u003e: For initial value problems.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePredictor-Corrector Methods\u003c\/b\u003e: Including Adams-Bashforth-Moulton.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eGaussian Quadrature\u003c\/b\u003e: For integral approximation within ODE solutions.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Independently Published","offers":[{"title":"Paperback","offer_id":45560207868055,"sku":"9798345471111","price":1793.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798345471111.webp?v=1768596170","url":"https:\/\/atlanticbooks.com\/products\/applied-numerical-methods-an-introduction-9798345471111","provider":"Atlantic Books","version":"1.0","type":"link"}