LEADER 00000cam a2200721Ii 4500 
001    ocn913335694 
003    OCoLC 
005    20170127063625.5 
006    m     o  d         
007    cr |n||||||||| 
008    150705s2015    gw a    o     000 0 eng d 
019    910281895|a910447168 
020    3110359421|q(electronic book) 
020    9783110359428|q(electronic book) 
020    9783110386806|q(electronic book) 
020    3110386801|q(electronic book) 
020    |z9783110359404|q(paperback) 
020    |z3110359405|q(paperback) 
035    (OCoLC)913335694|z(OCoLC)910281895|z(OCoLC)910447168 
037    788192|bMIL 
040    CN3GA|beng|epn|cCN3GA|dOCLCO|dYDXCP|dOCLCO|dEBLCP|dIDEBK
       |dE7B|dOCLCO|dN$T|dCUV|dOCLCO|dOCLCF|dOCLCO|dDEBSZ|dOCLCQ
       |dOCLCO 
049    RIDW 
050  4 QA297|b.H45 2015 
072  7 QA|2lcco 
072  7 MAT|x041000|2bisacsh 
082 04 518|223 
090    QA297|b.H45 2015 
100 1  Heister, Timo,|0https://id.loc.gov/authorities/names/
       n2015042387|eauthor. 
245 10 Introduction to scientific computing :|bfor scientists and
       engineers /|cTimo Heister, Leo G. Rebholz. 
264  1 Berlin ;|aBoston :|bDe Gruyter,|c[2015] 
300    1 online resource (xi, 138 pages) :|billustrations (some 
       color). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|2rdaft 
490 1  De Gruyter textbook 
505 0  Preface; Contents; 1 Introduction; 1.1 Why study numerical
       methods?; 1.2 Terminology; 1.3 Convergence terminology; 
       1.4 Exercises; 2 Computer representation of numbers and 
       roundoff error; 2.1 Examples of the effects of roundoff 
       error; 2.2 Binary numbers; 2.3 64 bit floating point 
       numbers; 2.3.1 Avoid adding large and small numbers; 2.3.2
       Subtracting two nearly equal numbers is bad; 2.4 
       Exercises; 3 Solving linear systems of equations; 3.1 
       Linear systems of equations and solvability; 3.2 Solving 
       triangular systems; 3.3 Gaussian elimination; 3.4 The 
       backslash operator; 3.5 LU decomposition. 
505 8  3.6 Exercises4 Finite difference methods; 4.1 
       Approximating the first derivative; 4.1.1 Forward and 
       backward differences; 4.1.2 Centered difference; 4.1.3 
       Three point difference formulas; 4.1.4 Further notes; 4.2 
       Approximating the second derivative; 4.3 Application: 
       Initial value ODE's using the forward Euler method; 4.4 
       Application: Boundary value ODE's; 4.5 Exercises; 5 
       Solving nonlinear equations; 5.1 The bisection method; 5.2
       Newton's method; 5.3 Secant method; 5.4 Comparing 
       bisection, Newton, secant method; 5.5 Combining secant and
       bisection and the fzero command. 
505 8  5.6 Equation solving in higher dimensions5.7 Exercises; 6 
       Accuracy in solving linear systems; 6.1 Gauss-Jordan 
       elimination and finding matrix inverses; 6.2 Matrix and 
       vector norms and condition number; 6.3 Sensitivity in 
       linear system solving; 6.4 Exercises; 7 Eigenvalues and 
       eigenvectors; 7.1 Mathematical definition; 7.2 Power 
       method; 7.3 Application: Population dynamics; 7.4 
       Exercises; 8 Fitting curves to data; 8.1 Interpolation; 
       8.1.1 Interpolation by a single polynomial; 8.1.2 
       Piecewise polynomial interpolation; 8.2 Curve fitting; 
       8.2.1 Line of best fit; 8.2.2 Curve of best fit. 
505 8  8.3 Exercises9 Numerical integration; 9.1 Newton-Cotes 
       methods; 9.2 Composite rules; 9.3 MATLAB's integral 
       function; 9.4 Gauss quadrature; 9.5 Exercises; 10 Initial 
       value ODEs; 10.1 Reduction of higher order ODEs to first 
       order; 10.2 Common methods and derivation from integration
       rules; 10.2.1 Backward Euler; 10.2.2 Crank-Nicolson; 
       10.2.3 Runge-Kutta 4; 10.3 Comparison of speed of implicit
       versus explicit solvers; 10.4 Stability of ODE solvers; 
       10.4.1 Stability of forward Euler; 10.4.2 Stability of 
       backward Euler; 10.4.3 Stability of Crank-Nicolson; 10.4.4
       Stability of Runge-Kutta 4. 
505 8  10.5 Accuracy of ODE solvers10.5.1 Forward Euler; 10.5.2 
       Backward Euler; 10.5.3 Crank-Nicolson; 10.5.4 Runge-Kutta 
       4; 10.6 Summary, general strategy, and MATLAB ODE solvers;
       10.7 Exercises; A Getting started with Octave and MATLAB; 
       A.1 Basic operations; A.2 Arrays; A.3 Operating on arrays;
       A.4 Script files; A.5 Function files; A.5.1 Inline 
       functions; A.5.2 Passing functions to other functions; A.6
       Outputting information; A.7 Programming in MATLAB; A.8 
       Plotting; A.9 Exercises. 
520    Nowadays most mathematics done in practice is done on a 
       computer. In engineering it is necessary to solve more 
       than 1 million equations simultaneously, and computers can
       be used to reduce the calculation time from years to 
       minutes or even seconds. This book explains: How can we 
       approximate these important mathematical processes? How 
       accurate are our approximations? How efficient are our 
       approximations? 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Engineering|xData processing.|0https://id.loc.gov/
       authorities/subjects/sh85043180 
650  0 Science|xData processing.|0https://id.loc.gov/authorities/
       subjects/sh85118562 
650  0 Numerical analysis.|0https://id.loc.gov/authorities/
       subjects/sh85093237 
650  0 Numerical analysis|xData processing.|0https://id.loc.gov/
       authorities/subjects/sh2008108514 
650  7 Engineering|xData processing.|2fast|0https://
       id.worldcat.org/fast/910334 
650  7 Science|xData processing.|2fast|0https://id.worldcat.org/
       fast/1108207 
650  7 Numerical analysis.|2fast|0https://id.worldcat.org/fast/
       1041273 
650  7 Numerical analysis|xData processing.|2fast|0https://
       id.worldcat.org/fast/1041279 
655  4 Electronic books. 
700 1  Rebholz, Leo G.,|0https://id.loc.gov/authorities/names/
       nb2012003584|eauthor. 
776 08 |iPrint version:|aHeister, Timo.|tIntroduction to 
       scientific computing.|dBerlin ; Boston : De Gruyter, 
       [2015]|z9783110359404|w(DLC)  2015026895|w(OCoLC)913572856
830  0 De Gruyter textbook.|0https://id.loc.gov/authorities/names
       /n94049545 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=999665|zOnline eBook. Access restricted to 
       current Rider University students, faculty, and staff. 
856 42 |3Instructions for reading/downloading this eBook|uhttp://
       guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
948    |d20170505|cEBSCO|tebscoebooksacademic new|lridw 
994    92|bRID