000 02742nam a22003738i 4500
001 CR9780511778568
003 UkCbUP
005 20200124160238.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100519s2010||||enk o ||1 0|eng|d
020 _a9780511778568 (ebook)
020 _z9780521761352 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA248
_b.K627 2010
082 0 0 _a513
_222
100 1 _aKornerup, Peter,
_eauthor.
245 1 0 _aFinite precision number systems and arithmetic /
_cPeter Kornerup, David W. Matula.
246 3 _aFinite Precision Number Systems & Arithmetic
264 1 _aCambridge :
_bCambridge University Press,
_c2010.
300 _a1 online resource (xv, 699 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 133
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aPreface; 1. Radix polynomial representations; 2. Base and digit set conversion; 3. Addition; 4. Multiplication; 5. Division; 6. Square root; 7. Floating point number systems; 8. Modular arithmetic and residue number systems; 9. Rational arithmetic; Author index; Index.
520 _aFundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
650 0 _aArithmetic
_xFoundations.
700 1 _aMatula, David W.,
_eauthor.
776 0 8 _iPrint version:
_z9780521761352
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 133.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511778568
999 _c518277
_d518275