عنوان

Numerical mathematics :

شابک

0805325301

شابک

9780805325300

عنوان اصلي

Numerical mathematics :

نام عام مواد

[Book]

ساير اطلاعات عنواني

theory and computer applications /

نام نخستين پديدآور

Carl-Erik Fröberg.

محل نشرو پخش و غیره

Menlo Park, Calif. :

نام ناشر، پخش کننده و غيره

Benjamin/Cummings Pub. Co.,

تاریخ نشرو بخش و غیره

1985.

نام خاص و کميت اثر

xi, 436 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

متن يادداشت

Revised edition of: Introduction to numerical analysis. 2nd ed. 1969.

متن يادداشت

Includes bibliographical references (pages 424-426) and index.

متن يادداشت

I. Mathematical introduction. 1. Numerical computation. Representation of numbers -- The origin and growth of errors -- Numerical cancellation -- Algorithms and complexity -- Use of computers. 2. Vectors and matrices. Vectors -- Matrices -- Eigenvalues and eigenvectors -- Matrix norms -- Matrix functions -- Localization of eigenvalues -- Normal forms -- Rectangular matrices. 3. Series expansions. Power series -- Generating functions -- Asymptotic series -- Fourier series -- Bernoulli numbers and Bernoulli polynomials -- Continued fractions. 4. Orthoganal functions. General concepts -- Polynomials: orthoganal; Legendre; Laguerre; Hermite; Chebyshev. 5. Linear operations. General properties -- Special operators -- Representation with differences -- Factorials and stirling numbers. 6. Difference equations. General concepts -- Linear, homogeneous difference equations -- Differences of elementary functions.

متن يادداشت

Partial difference equations. 7. Special functions. Analytic functions and complex integration -- The gamma function -- The beta function -- Some functions defined defined by definite integrals -- The Riemann zeta function -- Bessel functions -- Spherical harmonics. 8. Laplace transformation. Basic theory -- Laplace transforms of some special functions. 9. Calculus of variations. II. Equations. Gaussian elimination -- Error analysis -- Overdetermined systems of equations -- Iterative methods -- Gradient methods. 11. Nonlinear equations and systems of equations. Equations in one variable -- Horner's scheme -- Interpolation methods for real roots -- Fixed-point methods -- Laguerre's method -- Systems of nonlinear equations -- Minimization methods. 12. Algebraic eigenvalue problems. Iteravive methods -- Transformation methods. 13. Linear programming. The simplex method -- The transportation problem.

متن يادداشت

Quadratic, integer, and dynamic programming. III. Approximation. 14. Interpolation. Polynomial interpolation -- Devided differences -- Interpolation by use of differences -- Extrapolation -- Special features. 15. Function representation and curve fitting. Least-squares polynomial approximation -- Trigonometric interpolation -- The fast Fourier transform -- Approximation with: trigonometric functions; exponential functions; Chebyshev polynomials -- Spline approximation -- Rational approximations. 16. The Monte Carlo method. Random numbers -- Random walks -- Computation of definite integrals -- Simulation. IV. Integration and summation. 17. Numerical integration. General rules -- Methods based on equidistant node points -- Formulas of Gauss type -- Multiple integrals. 18. Summation. Sums of factorials and powers -- Euler-McLaurin's summation formula -- Stirling's formula -- Euler's transformation and alternating series.

متن يادداشت

Summation by use of Riemann's zeta function. V. Differential and integral equations. 19. Ordinary differential equations. Existeence of solutions -- Euler's method -- Taylor series expansion -- Runge-Kutta (RK) methods -- Stiff differential equations -- Multi-step methods -- Cowell-Numerov's method -- Systems of firts-order linear differential equations -- Boundary value problems -- Eigenvalue problems. 20. Partial differential equations. Classification -- Hyperbolic equations -- Parabolic equations -- Elliptic equations -- The finite element method (FEM) -- Eigenvalue problems. 2. Integral equations. Classification -- Fredholm's inhomogeneous equation of the second kind -- ... homogeneous ... -- Fredholm's equation of the first kind -- Volterra's equations -- Numerical treatment of integral equations -- Connections between differential and integral equations.

بدون عنوان

0

بدون عنوان

0

بدون عنوان

0

بدون عنوان

0

عنوان

Numerical mathematics.

موضوع مستند نشده

Numerical analysis-- Data processing.

موضوع مستند نشده

Numerical analysis.

موضوع مستند نشده

Analyse numérique-- Informatique.

موضوع مستند نشده

Analyse numérique.

موضوع مستند نشده

Analyse numérique-- Logiciels.

موضوع مستند نشده

Analyse numérique.

موضوع مستند نشده

Analysis

موضوع مستند نشده

Numerical analysis-- Data processing.

موضوع مستند نشده

Numerical analysis.

موضوع مستند نشده

Numerische Mathematik

شماره

512.97

شماره

519.6

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

شماره رده

کد سيستم

کد سيستم

مستند نام اشخاص تاييد نشده

Fröberg, Carl Erik.

مستند نام اشخاص تاييد نشده

Fröberg, Carl Erik.

تاريخ عمليات

20200822132045.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y