01078nam0-22003731i-450-99000398905040332120091019115851.00-89871-355-2000398905FED01000398905(Aleph)000398905FED0100039890520031222d2002----km-y0itay50------baengUSa---a---001yyAccuracy and stability of numerical algorithmsNicholas J. Higham2nd ed.PhiladelphiaSIAM (Society for industrial and applied mathematics)c2002xxx, 680 p.ill.26 cmAnalisi numericaElaborazione datiAritmeticaAlgoritmi519.4'0285'51Higham,Nicholas J.21818ITUNINARICAUNIMARCBK990003989050403321519.4-HIG-12732SC1519.4-HIG-1A2748SC1SC1Accuracy and stability of numerical algorithms33605UNINA04085nam 2200841Ia 450 991077860090332120230721022544.01-282-18794-597866121879403-11-020301-410.1515/9783110203011(CKB)1000000000789763(EBL)453797(OCoLC)646812053(SSID)ssj0000356678(PQKBManifestationID)11249979(PQKBTitleCode)TC0000356678(PQKBWorkID)10349447(PQKB)11167524(MiAaPQ)EBC453797(DE-B1597)33377(OCoLC)703215913(DE-B1597)9783110203011(Au-PeEL)EBL453797(CaPaEBR)ebr10314529(CaONFJC)MIL218794(OCoLC)935268887(EXLCZ)99100000000078976320090105d2009 uy 0engur|||||||||||txtccrApplied algebraic dynamics[electronic resource] /by Vladimir Anashin and Andrei KhrennikovBerlin ;New York Walter De Gruyterc20091 online resource (557 p.)De Gruyter expositions in mathematics,0938-6572 ;49Description based upon print version of record.3-11-020300-6 Frontmatter -- Contents -- Chapter 1. Algebraic and number-theoretic background -- I. The Commutative Non-Archimedean Dynamics -- Chapter 2. Dynamics on algebraic structures -- Chapter 3. p-adic analysis -- Chapter 4. p-adic ergodic theory -- Chapter 5. Asymptotic distribution of cycles -- II. The Non-Commutative Non-Archimedean Dynamics -- Chapter 6. Basics of polynomial dynamics on groups -- Chapter 7. Ergodic polynomials over groups with operators -- III. Applications -- Chapter 8. Automata, computers, combinatorics -- Chapter 9. Pseudorandom numbers -- Chapter 10. Stream ciphers -- Chapter 11. Structure of trajectories -- Chapter 12. p-adic probability theory -- Chapter 13. p-adic valued quantization -- Chapter 14. m-adic modeling in cognitive science and psychology -- Chapter 15. Neuronal hierarchy behind the ultrametric mental space -- Chapter 16. Gene expression from dynamics in the 2-adic space -- Chapter 17. Genetic code on the diadic plane -- BackmatterThis monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative groups. For students and researchers working on the theory of dynamical systems, algebra, number theory, measure theory, computer sciences, cryptography, and image analysis.De Gruyter expositions in mathematics ;49.Arithmetical algebraic geometryDifferentiable dynamical systemsAlgebraic Dynamical Systems.Automata.Computer Sciences.Cryptography.Ergodicity.Genetics.Latin Squares.Measure-Preserving Transformations.Profinite Groups.Pseudorandom Generators.Psychology.Quantum Theory.Stream Ciphers.p-adic Numbers.p-adic Probability.Arithmetical algebraic geometry.Differentiable dynamical systems.512SK 810rvkAnashin Vladimir1477313Khrennikov A. I͡U(Andreĭ I͡Urʹevich),1958-1477314MiAaPQMiAaPQMiAaPQBOOK9910778600903321Applied algebraic dynamics3692438UNINA