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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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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>
<MENU>
  <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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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>
<MENU>
  <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 
  <LI><A 
  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 
  <LI><A 
  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>
<MENU>
  <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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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 
  <LI><A 
  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>
<MENU>
  <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 
  <LI><A 
  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 
  <LI><A 
  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>
<MENU>
  <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 
  <LI><A 

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