LEADER 01114cam0-22003611i-450 001 990004503930403321 005 20221116164254.0 010 $a88-00-85568-7$b1. 010 $a88-00-85570-9$b2. 035 $a000450393 035 $aFED01000450393 035 $a(Aleph)000450393FED01 035 $a000450393 100 $a19990604d1981----km-y0itay50------ba 101 0 $aita 102 $aIT 105 $ay-------001yy 200 1 $aDemocrazia al lavoro$ei verbali del CNL lombardo$fa cura di Gaetano Grassi, Pierangelo Lombardi 210 $aFirenze$cLe Monnier$d1981 215 $a2 v.$d21 cm 225 1 $aQuaderni di storia$v53 610 0 $aComitato di liberazione nazionale$aLombardia$aStoria$a1945-1946$aDocumenti 676 $a945.2 702 1$aGrassi,$bGaetano 702 1$aLombardi,$bPierangelo 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990004503930403321 952 $a940.54 CLN LOMB. 01(2)$bDIP.DISC.ST.2659$fFLFBC 952 $a940.54 CLN LOMB. 01(1)$bDIP.DISC.ST.2659$fFLFBC 959 $aFLFBC 996 $aDemocrazia al lavoro$9547543 997 $aUNINA LEADER 04061nam 22006735 450 001 9910983066603321 005 20241204115224.0 010 $a9783031674822 010 $a3031674820 024 7 $a10.1007/978-3-031-67482-2 035 $a(CKB)36812734000041 035 $a(MiAaPQ)EBC31813190 035 $a(Au-PeEL)EBL31813190 035 $a(DE-He213)978-3-031-67482-2 035 $a(OCoLC)1477220360 035 $a(EXLCZ)9936812734000041 100 $a20241204d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumbers and Computers /$fby Ronald T. Kneusel 205 $a3rd ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (409 pages) 225 1 $aTexts in Computer Science,$x1868-095X 311 08$a9783031674815 311 08$a3031674812 327 $a1. Number Systems -- 2. Integers -- 3. Floating Point -- 4. Pitfalls of Floating-Point Numbers (and How to Avoid Them) -- 5. Big Integers and Rational Arithmetic -- 6. Fixed-Point Numbers -- 7. Decimal Floating Point -- 8. Interval Arithmetic -- 9. Arbitrary Precision Floating-Point -- 10. Other Number Systems. 330 $aComputers are, fundamentally, number manipulators. Therefore, developers, engineers, and scientists must understand how computers represent and operate on numbers. The revised and updated third edition of this unique textbook/reference details the variety of number formats used by computers, thereby helping to ground readers in what can and cannot be represented accurately, especially by floating-point numbers. The book's first part details standard representations of integers and floating-point numbers. The second explores other number representations, including the wide variety recently developed to support artificial intelligence (AI) and its demand for efficiency in representation to accommodate the ever-expanding scope of neural network models. Chapters describe each format, with examples in code (Python and C) and exercises. This new edition includes three new chapters on posits, AI number formats, and a collaborative experiment with an AI to generate novel number formats. Topics and features: Explores how computers use numbers to complete operations Adds new chapters on posits and AI number formats Includes exercises and examples that are code snippets in C or Python Implements and tests new AI-designed number formats (as designed by GPT-4) Provides thorough grounding on what can and cannot be represented accurately A textbook eminently suitable for undergraduates in computer science, the work also will appeal to software developers, engineers, scientists, AI experts, and anyone who programs for fun. Dr. Ronald T. Kneusel, a senior data scientist with L3Harris (Melbourne, FL, USA), is also the author of the Springer book, Random Numbers and Computers. 410 0$aTexts in Computer Science,$x1868-095X 606 $aMathematics$xData processing 606 $aComputer programming 606 $aAlgorithms 606 $aComputer arithmetic and logic units 606 $aComputational Mathematics and Numerical Analysis 606 $aProgramming Techniques 606 $aDesign and Analysis of Algorithms 606 $aArithmetic and Logic Structures 606 $aAlgorithms 615 0$aMathematics$xData processing. 615 0$aComputer programming. 615 0$aAlgorithms. 615 0$aComputer arithmetic and logic units. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aProgramming Techniques. 615 24$aDesign and Analysis of Algorithms. 615 24$aArithmetic and Logic Structures. 615 24$aAlgorithms. 676 $a518 700 $aKneusel$b Ronald T$0992662 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983066603321 996 $aNumbers and Computers$92516471 997 $aUNINA