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<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c0-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> Front Matter, Contents, and
Prefaces xi
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c0-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> Legal Matters xvi
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c0-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> Computer Programs by Chapter
and Section xix </LI></MENU>
<H2>1 Preliminaries </H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c1-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 1.0 Introduction 1
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c1-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 1.1 Program Organization and
Control Structures 5
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c1-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 1.2 Some C Conventions for
Scientific Computing 15
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c1-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 1.3 Error, Accuracy, and
Stability 15 </LI></MENU>
<H2>2 Solution of Linear Algebraic Equations </H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.0 Introduction 32
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.1 Gauss-Jordan Elimination
36
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.2 Gaussian Elimination with
Backsubstitution 41
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.3 LU Decomposition and Its
Applications 43
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.4 Tridiagonal and Band
Diagonal Systems of Equations 50
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.5 Iterative Improvement of
a Solution to Linear Equations 55
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.6 Singular Value
Decomposition 59
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.7 Sparse Linear Systems 71
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-8.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.8 Vandermonde Matrices and
Toeplitz Matrices 90
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-9.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.9 Cholesky Decomposition 96
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-10.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.10 QR Decomposition 98
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c2-11.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 2.11 Is Matrix Inversion an
$N^3$ Process? 102 </LI></MENU>
<H2>3 Interpolation and Extrapolation </H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.0 Introduction 105
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.1 Polynomial Interpolation
and Extrapolation 108
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.2 Rational Function
Interpolation and Extrapolation 111
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.3 Cubic Spline
Interpolation 113
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.4 How to Search an Ordered
Table 117
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.5 Coefficients of the
Interpolating Polynomial 120
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c3-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 3.6 Interpolation in Two or
More Dimensions 123 </LI></MENU>
<H2>4 Integration of Functions </H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.0 Introduction 129
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.1 Classical Formulas for
Equally Spaced Abscissas 130
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.2 Elementary Algorithms 136
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.3 Romberg Integration 140
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.4 Improper Integrals 141
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.5 Gaussian Quadratures and
Orthogonal Polynomials 147
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c4-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 4.6 Multidimensional
Integrals 161 </LI></MENU>
<H2>5 Evaluation of Functions </H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.0 Introduction 165
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.1 Series and Their
Convergence 165
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.2 Evaluation of Continued
Fractions 169
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.3 Polynomials and Rational
Functions 173
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.4 Complex Arithmetic 176
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.5 Recurrence Relations and
Clenshaw's Recurrence Formula 178
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.6 Quadratic and Cubic
Equations 183
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.7 Numerical Derivatives 186
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-8.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.8 Chebyshev Approximation
190
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-9.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.9 Derivatives or Integrals
of a Chebyshev-approximated Function 195
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-10.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.10 Polynomial Approximation
from Chebyshev Coefficients 197
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-11.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.11 Economization of Power
Series 198
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-12.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.12 Pad\'e Approximants 200
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-13.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.13 Rational Chebyshev
Approximation 204
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c5-14.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 5.14 Evaluation of Functions
by Path Integration 208 </LI></MENU>
<H2>6 Special Functions </H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.0 Introduction 212
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.1 Gamma Function, Beta
Function, Factorials, Binomial Coefficients 213
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.2 Incomplete Gamma
Function, Error Function, Chi-Square Probability Function, Cumulative Poisson
Function 216
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.3 Exponential Integrals 222
<LI><A
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