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<a href="Algochapter1.html#c1" target="Chapters">1. Symbolic algebra algorithms</a><br /><a href="Algochapter1.html#c1s1" target="Chapters">1.1 Sparse representations</a><br /><a href="Algochapter1.html#c1s2" target="Chapters">1.2 Implementation of multivariate polynomials</a><br /><a href="Algochapter1.html#c1s3" target="Chapters">1.3 Integration</a><br /><a href="Algochapter1.html#c1s4" target="Chapters">1.4 Transforms</a><br /><a href="Algochapter1.html#c1s5" target="Chapters">1.5 Finding real roots of polynomials</a><br /><a href="Algochapter2.html#c2" target="Chapters">2. Number theory algorithms</a><br /><a href="Algochapter2.html#c2s1" target="Chapters">2.1 Euclidean GCD algorithms</a><br /><a href="Algochapter2.html#c2s2" target="Chapters">2.2 Prime numbers: the Miller-Rabin test and its improvements</a><br /><a href="Algochapter2.html#c2s3" target="Chapters">2.3 Factorization of integers</a><br /><a href="Algochapter2.html#c2s4" target="Chapters">2.4 The Jacobi symbol</a><br /><a href="Algochapter2.html#c2s5" target="Chapters">2.5 Integer partitions</a><br /><a href="Algochapter2.html#c2s6" target="Chapters">2.6 Miscellaneous functions</a><br /><a href="Algochapter2.html#c2s7" target="Chapters">2.7 Gaussian integers</a><br /><a href="Algochapter3.html#c3" target="Chapters">3. A simple factorization algorithm for univariate polynomials</a><br /><a href="Algochapter3.html#c3s1" target="Chapters">3.1 Modular arithmetic</a><br /><a href="Algochapter3.html#c3s2" target="Chapters">3.2 Factoring using modular arithmetic</a><br /><a href="Algochapter3.html#c3s3" target="Chapters">3.3 Preparing the polynomial for factorization</a><br /><a href="Algochapter3.html#c3s4" target="Chapters">3.4 Definition of division of polynomials</a><br /><a href="Algochapter3.html#c3s5" target="Chapters">3.5 Determining possible factors modulo 2</a><br /><a href="Algochapter3.html#c3s6" target="Chapters">3.6 Determining factors modulo <b> 2^n</b> given a factorization modulo 2</a><br /><a href="Algochapter3.html#c3s7" target="Chapters">3.7 Efficiently deciding if a polynomial divides another</a><br /><a href="Algochapter3.html#c3s8" target="Chapters">3.8 Extending the algorithm</a><br /><a href="Algochapter3.html#c3s9" target="Chapters">3.9 Newton iteration</a><br /><a href="Algochapter4.html#c4" target="Chapters">4. Numerical algorithms I: basic methods</a><br /><a href="Algochapter4.html#c4s1" target="Chapters">4.1 Adaptive function plotting</a><br /><a href="Algochapter4.html#c4s2" target="Chapters">4.2 Surface plotting</a><br /><a href="Algochapter4.html#c4s3" target="Chapters">4.3 Parametric plots</a><br /><a href="Algochapter4.html#c4s4" target="Chapters">4.4 The cost of arbitrary-precision computations</a><br /><a href="Algochapter4.html#c4s5" target="Chapters">4.5 Estimating convergence of a series</a><br /><a href="Algochapter4.html#c4s6" target="Chapters">4.6 Estimating the round-off error</a><br /><a href="Algochapter4.html#c4s7" target="Chapters">4.7 Basic arbitrary-precision arithmetic </a><br /><a href="Algochapter4.html#c4s8" target="Chapters">4.8 How many digits of <b> Sin(Exp(Exp(1000)))</b> do we need?</a><br /><a href="Algochapter4.html#c4s9" target="Chapters">4.9 Continued fractions</a><br /><a href="Algochapter4.html#c4s10" target="Chapters">4.10 Estimating convergence of continued fractions</a><br /><a href="Algochapter4.html#c4s11" target="Chapters">4.11 Newton's method and its improvements</a><br /><a href="Algochapter4.html#c4s12" target="Chapters">4.12 Fast evaluation of Taylor series</a><br /><a href="Algochapter4.html#c4s13" target="Chapters">4.13 Using asymptotic series for calculations</a><br /><a href="Algochapter4.html#c4s14" target="Chapters">4.14 The AGM sequence algorithms</a><br /><a href="Algochapter4.html#c4s15" target="Chapters">4.15 The binary splitting method</a><br /><a href="Algochapter5.html#c5" target="Chapters">5. Numerical algorithms II: elementary functions</a><br /><a href="Algochapter5.html#c5s1" target="Chapters">5.1 Powers</a><br /><a href="Algochapter5.html#c5s2" target="Chapters">5.2 Roots</a><br /><a href="Algochapter5.html#c5s3" target="Chapters">5.3 Logarithm</a><br /><a href="Algochapter5.html#c5s4" target="Chapters">5.4 Exponential</a><br /><a href="Algochapter5.html#c5s5" target="Chapters">5.5 Calculation of <b> Pi</b></a><br /><a href="Algochapter5.html#c5s6" target="Chapters">5.6 Trigonometric functions</a><br /><a href="Algochapter5.html#c5s7" target="Chapters">5.7 Inverse trigonometric functions</a><br /><a href="Algochapter5.html#c5s8" target="Chapters">5.8 Factorials and binomial coefficients</a><br /><a href="Algochapter5.html#c5s9" target="Chapters">5.9 Classical orthogonal polynomials: general case</a><br /><a href="Algochapter5.html#c5s10" target="Chapters">5.10 Classical orthogonal polynomials: special cases</a><br /><a href="Algochapter5.html#c5s11" target="Chapters">5.11 Series of orthogonal polynomials</a><br /><a href="Algochapter6.html#c6" target="Chapters">6. Numerical algorithms III: special functions</a><br /><a href="Algochapter6.html#c6s1" target="Chapters">6.1 Euler's Gamma function</a><br /><a href="Algochapter6.html#c6s2" target="Chapters">6.2 Euler's constant <b> gamma</b></a><br /><a href="Algochapter6.html#c6s3" target="Chapters">6.3 Catalan's constant <b>G</b></a><br /><a href="Algochapter6.html#c6s4" target="Chapters">6.4 Riemann's Zeta function</a><br /><a href="Algochapter6.html#c6s5" target="Chapters">6.5 Lambert's <b>W</b> function</a><br /><a href="Algochapter6.html#c6s6" target="Chapters">6.6 Bessel functions</a><br /><a href="Algochapter6.html#c6s7" target="Chapters">6.7 Bernoulli numbers and polynomials</a><br /><a href="Algochapter6.html#c6s8" target="Chapters">6.8 Error function <b> Erf(x)</b> and related functions</a><br /><a href="Algochapter7.html#c7" target="Chapters">7. References</a><br /><a href="Algochapter8.html#c8" target="Chapters">8. GNU Free Documentation License</a><br />
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