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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.4 Incomplete Beta Function,
Student's Distribution, F-Distribution,Cumulative Binomial Distribution 226
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.5 Bessel Functions of
Integer Order 230
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.6 Modified Bessel Functions
of Integer Order 236
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.7 Bessel Functions of
Fractional Order, Airy Functions, SphericalBessel Functions 240
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-8.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.8 Spherical Harmonics 252
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-9.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.9 Fresnel Integrals, Cosine
and Sine Integrals 255
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-10.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.10 Dawson's Integral 259
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-11.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.11 Elliptic Integrals and
Jacobian Elliptic Functions 261
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c6-12.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 6.12 Hypergeometric Functions
271 </LI></MENU>
<H2>7 Random Numbers</H2>
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<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.0 Introduction 274
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.1 Uniform Deviates 275
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.2 Transformation Method:
Exponential and Normal Deviates 287
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.3 Rejection Method: Gamma,
Poisson, Binomial Deviates 290
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.4 Generation of Random Bits
296
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.5 Random Sequences Based on
Data Encryption 300
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.6 Simple Monte Carlo
Integration 304
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.7 Quasi- (that is, Sub-)
Random Sequences 309
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c7-8.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 7.8 Adaptive and Recursive
Monte Carlo Methods 316 </LI></MENU>
<H2>8 Sorting </H2>
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<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.0 Introduction 329
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.1 Straight Insertion and
Shell's Method 330
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.2 Quicksort 332
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.3 Heapsort 336
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.4 Indexing and Ranking 338
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.5 Selecting the $M$th
Largest 341
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c8-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 8.6 Determination of
Equivalence Classes 345 </LI></MENU>
<H2>9 Root Finding and Nonlinear Sets of Equations</H2>
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<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.0 Introduction 347
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.1 Bracketing and Bisection
350
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.2 Secant Method, False
Position Method, and Ridders' Method 354
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.3 Van
Wijngaarden--Dekker--Brent Method 359
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.4 Newton-Raphson Method
Using Derivative 362
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.5 Roots of Polynomials 369
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.6 Newton-Raphson Method for
Nonlinear Systems of Equations 379
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c9-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 9.7 Globally Convergent
Methods for Nonlinear Systems of Equations 383 </LI></MENU>
<H2>10 Minimization or Maximization of Functions </H2>
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<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.0 Introduction 394
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.1 Golden Section Search in
One Dimension 397
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.2 Parabolic Interpolation
and Brent's Method in One Dimension 402
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.3 One-Dimensional Search
with First Derivatives 305
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.4 Downhill Simplex Method
in Multidimensions 408
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.5 Direction Set (Powell's)
Methods in Multidimensions 412
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href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.6 Conjugate Gradient
Methods in Multidimensions 420
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.7 Variable Metric Methods
in Multidimensions 425
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-8.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.8 Linear Programming and
the Simplex Method 430
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c10-9.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 10.9 Simulated Annealing
Methods 444 </LI></MENU>
<H2>11 Eigensystems</H2>
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<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.0 Introduction 456
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.1 Jacobi Transformations
of a Symmetric Matrix 463
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.2 Reduction of a Symmetric
Matrix to Tridiagonal Form: Givens and Householder Reductions 469
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.3 Eigenvalues and
Eigenvectors of a Tridiagonal Matrix 475
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.4 Hermitian Matrices 481
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.5 Reduction of a General
Matrix to Hessenberg Form 482
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.6 The QR Algorithm for
Real Hessenberg Matrices 486
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c11-7.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 11.7 Improving Eigenvalues
and/or Finding Eigenvectors by Inverse Iteration 493 </LI></MENU>
<H2>12 Fast Fourier Transform</H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.0 Introduction 496
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.1 Fourier Transform of
Discretely Sampled Data 500
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.2 Fast Fourier Transform
(FFT) 504
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.3 FFT of Real Functions,
Sine and Cosine Transforms 510
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.4 FFT in Two or More
Dimensions 521
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-5.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.5 Fourier Transforms of
Real Data in Two and Three Dimensions 525
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c12-6.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 12.6 External Storage or
Memory-Local FFTs 532 </LI></MENU>
<H2>13 Fourier and Spectral Applications</H2>
<MENU>
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c13-0.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 13.0 Introduction 537
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c13-1.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 13.1 Convolution and
Deconvolution Using the FFT 538
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c13-2.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 13.2 Correlation and
Autocorrelation Using the FFT 545
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c13-3.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 13.3 Optimal (Wiener)
Filtering with the FFT 547
<LI><A
href="http://www.ulib.org/webRoot/Books/Numerical_Recipes/bookcpdf/c13-4.pdf"><IMG
src="Numerical Recipes in C.files/PDF4.gif"></A> 13.4 Power Spectrum
Estimation Using the FFT 549
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