Two Frenchman working as computer scientists in numerical analysis, Xavier Gourdon and Pascal Sebah have created this great informational site dedicated to mathematical, algorithmic and historical aspects of some classical mathematical concepts. Several programs are offered for downloading and everything comes with easy to understand explanations.
Numbers, Constants and Computation Index
- Mathematical constants
- Archimedes’ constant p
- The constant e
- The logarithmic constant log 2
- Pythagoras’ constant Ö2
- Euler’s constant g
- Apery’s constant z(3)
- Table of Digits with 50 decimal places
- Records of computation
- Algorithms
- Arbitrary precision computation
- FFT based multiplication of large numbers
- Binary splitting method
- Computation of inverse and square root in high precision
- Newton’s iteration
- Acceleration of the convergence of series: Some techniques to accelerate the convergence of series. Also includes a recent general and powerful technique to accelerate the convergence of alternating series.
- N-th digit computation: How to compute directly the n-th digit of p, log 2, ¼. Includes a new algorithm to compute directly the n-th decimal digit of p.
- Programs
- PiFast
- Easy programs for constants computation
- Tiny programs for constants computation
- Online computation of some constants
- Number theory
- Counting primes
- Contribute to the pi(x) table project: A new distributed computation to construct a table of large values of pi(x)
- The pi(x) project
- Twin primes and Brun’s constant
- Compute the number of primes on line
- Some constants from Number Theory
- Miscellaneous
- Classification of numbers (irrational, transcendental, ¼)
- Irrationality proofs: Some proofs of the irrationality of p, e and log 2.
- The Gamma function
- The Riemann Zeta function Includes details about the latest numerical Riemann Hypothesis verification record (on the first ten trillion-th zeros) and zeros computations at very large height.
- Bernoulli numbers
- Mathematical quotes
- References
View this Free Online Material at the source:
Numbers, Constants and Computation
