File: Algo.book.txt

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*BLURB 
This book is a detailed description of the algorithms used in the Yacas system for exact
symbolic and arbitrary-precision numerical computations. Very few of these
algorithms are new, and most are well-known.
The goal of this book is to become a compendium of all relevant issues
of design and implementation of these algorithms.
				The Yacas Book of Algorithms


			Symbolic algebra algorithms

*INCLUDE algorithms-multivar.chapt

*INCLUDE algorithms-integration.chapt

*INCLUDE algorithms-transforms.chapt

*INCLUDE SturmSequences.chapt


*REM chapter head is inside the file
*INCLUDE algorithms-numtheory.chapt


			Numerical algorithms I: basic methods

*INTRO This and subsequent chapters document the numerical algorithms used in
Yacas for exact integer calculations as well as for multiple precision
floating-point calculations. We give self-contained descriptions of
the non-trivial algorithms and estimate their computational cost.
Most of the algorithms were taken from referenced literature; the remaining algorithms were developed by us.


*INCLUDE algo-basic.chapt

*INCLUDE algo-numapprox.chapt

			Numerical algorithms II: elementary functions

*INCLUDE algorithms-elemfunc.chapt

			Numerical algorithms III: special functions

*INCLUDE algorithms-specfunc.chapt

*INCLUDE algo-refs.chapt


*REM GNU Free Documentation License
*INCLUDE FDL.chapt