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20240329122006.0 |
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230209s2013 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCL
|d OCLCQ
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| 020 |
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|a 9781118730966
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|a 1118730968
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| 035 |
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|a (OCoLC)1347029436
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| 082 |
0 |
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|a 518
|q OCoLC
|2 23/eng/20230216
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Epperson, James F.
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| 245 |
1 |
3 |
|a An Introduction to Numerical Methods and Analysis
|h [electronic resource].
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2013.
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| 300 |
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|a 1 online resource (610 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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| 505 |
0 |
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|a Intro -- Half Title page -- Title page -- Copyright page -- Dedication -- Preface -- Chapter 1: Introductory Concepts and Calculus Review -- 1.1 Basic Tools of Calculus -- 1.2 Error, Approximate Equality, and Asymptotic Order Notation -- 1.3 A Primer on Computer Arithmetic -- 1.4 A Word on Computer Languages and Software -- 1.5 Simple Approximations -- 1.6 Application: Approximating the Natural Logarithm -- 1.7 A Brief History of Computing -- 1.8 Literature Review -- References -- Chapter 2: A Survey of Simple Methods and Tools -- 2.1 Horner's Rule and Nested Multiplication
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| 505 |
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|a 2.2 Difference Approximations to the Derivative -- 2.3 Application: Euler's Method for Initial Value Problems -- 2.4 Linear Interpolation -- 2.5 Application-The Trapezoid Rule -- 2.6 Solution of Tridiagonal Linear Systems -- 2.7 Application: Simple Two-Point Boundary Value Problems -- Chapter 3: Root-Finding -- 3.1 The Bisection Method -- 3.2 Newton's Method: Derivation and Examples -- 3.3 How to Stop Newton's Method -- 3.4 Application: Division Using Newton's Method -- 3.5 The Newton Error Formula -- 3.6 Newton's Method: Theory and Convergence -- 3.7 Application: Computation of the Square Root
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| 505 |
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|a 3.8 The Secant Method: Derivation and Examples -- 3.9 Fixed-Point Iteration -- 3.10 Roots of Polynomials, Part 1 -- 3.11 Special Topics in Root-Finding Methods -- 3.12 Very High-Order Methods and the Efficiency Index -- 3.13 Literature and Software Discussion -- References -- Chapter 4: Interpolation and Approximation -- 4.1 Lagrange Interpolation -- 4.2 Newton Interpolation and Divided Differences -- 4.3 Interpolation Error -- 4.4 Application: Muller's Method and Inverse Quadratic Interpolation -- 4.5 Application: More Approximations to the Derivative -- 4.6 Hermite Interpolation
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| 505 |
8 |
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|a 4.7 Piecewise Polynomial Interpolation -- 4.8 An Introduction to Splines -- 4.9 Application: Solution of Boundary Value Problems -- 4.10 Tension Splines -- 4.11 Least Squares Concepts in Approximation -- 4.12 Advanced Topics in Interpolation Error -- 4.13 Literature and Software Discussion -- References -- Chapter 5: Numerical Integration -- 5.1 A Review of the Definite Integral -- 5.2 Improving the Trapezoid Rule -- 5.3 Simpson's Rule and Degree of Precision -- 5.4 The Midpoint Rule -- 5.5 Application: Stirling's Formula -- 5.6 Gaussian Quadrature -- 5.7 Extrapolation Methods
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|a 5.8 Special Topics in Numerical Integration -- 5.9 Literature and Software Discussion -- References -- Chapter 6: Numerical Methods for Ordinary Differential Equations -- 6.1 The Initial Value Problem: Background -- 6.2 Euler's Method -- 6.3 Analysis of Euler's Method -- 6.4 Variants of Euler's Method -- 6.5 Single-Step Methods: Runge-Kutta -- 6.6 Multistep Methods -- 6.7 Stability Issues -- 6.8 Application to Systems of Equations -- 6.9 Adaptive Solvers -- 6.10 Boundary Value Problems -- 6.11 Literature and Software Discussion -- References
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| 500 |
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|a Chapter 7: Numerical Methods for the Solution of Systems of Equations
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a [Hauptbd.] An introduction to numerical methods and analysis (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCXkfKfYW6kK67cXqdxjhDy
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Epperson, James F.
|t An Introduction to Numerical Methods and Analysis
|d Newark : John Wiley & Sons, Incorporated,c2013
|z 9781118367599
|
| 830 |
|
0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104003
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7104003
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| 994 |
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|a 92
|b IZTAP
|
