LEADER 02817nam 22004935 450 001 9910254083803321 005 20200705155626.0 010 $a3-319-39558-0 024 7 $a10.1007/978-3-319-39558-6 035 $a(CKB)3710000000909074 035 $a(DE-He213)978-3-319-39558-6 035 $a(MiAaPQ)EBC6314543 035 $a(MiAaPQ)EBC5595859 035 $a(Au-PeEL)EBL5595859 035 $a(OCoLC)1076258003 035 $a(PPN)196325374 035 $a(EXLCZ)993710000000909074 100 $a20161014d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgorithmic Mathematics /$fby Stefan Hougardy, Jens Vygen 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIII, 163 p. 41 illus., 40 illus. in color.) 311 $a3-319-39557-2 327 $a1 Introduction -- 2 Representations of the Integers -- 3 Computing with Integers -- 4 Approximate Representations of the Real Numbers -- 5 Computing with Errors -- 6 Graphs -- 7 Simple Graph Algorithms -- 8 Sorting Algorithms -- 9 Optimal Trees and Paths -- 10 Matchings and Network Flows -- 11 Gaussian Elimination -- Bibliography -- Index. 330 $aAlgorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years. 606 $aAlgorithms 606 $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018 615 0$aAlgorithms. 615 14$aAlgorithms. 676 $a518.1 700 $aHougardy$b Stefan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755819 702 $aVygen$b Jens$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254083803321 996 $aAlgorithmic Mathematics$92004336 997 $aUNINA LEADER 04075nam 22007695 450 001 9910484872303321 005 20251225205419.0 010 $a3-319-65340-7 024 7 $a10.1007/978-3-319-65340-2 035 $a(CKB)3710000001631262 035 $a(DE-He213)978-3-319-65340-2 035 $a(MiAaPQ)EBC6300792 035 $a(MiAaPQ)EBC5576821 035 $a(Au-PeEL)EBL5576821 035 $a(OCoLC)1002303486 035 $a(PPN)203850149 035 $a(EXLCZ)993710000001631262 100 $a20170808d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProgress in Artificial Intelligence $e18th EPIA Conference on Artificial Intelligence, EPIA 2017, Porto, Portugal, September 5-8, 2017, Proceedings /$fedited by Eugénio Oliveira, João Gama, Zita Vale, Henrique Lopes Cardoso 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XXXI, 895 p. 253 illus.) 225 1 $aLecture Notes in Artificial Intelligence,$x2945-9141 ;$v10423 311 08$a3-319-65339-3 330 $aThis book constitutes the refereed proceedings of the 18th EPIA Conference on Artificial Intelligence, EPIA 2017, held in Porto, Portugal, in September 2017.  The 69 revised full papers and 2 short papers presented were carefully reviewed and selected from a total of 177 submissions. The papers are organized in 16 tracks devoted to the following topics: agent-based modelling for criminological research (ABM4Crime), artificial intelligence in cyber-physical and distributed embedded systems (AICPDES), artificial intelligence in games (AIG), artificial intelligence in medicine (AIM), artificial intelligence in power and energy systems (AIPES), artificial intelligence in transportation systems (AITS), artificial life and evolutionary algorithms (ALEA), ambient intelligence and affective environments (AmIA), business applications of artificial intelligence (BAAI), intelligent robotics (IROBOT), knowledge discovery and business intelligence (KDBI), knowledge representation and reasoning (KRR), multi-agent systems: theory and applications (MASTA), software engineering for autonomous and intelligent systems (SE4AIS), social simulation and modelling (SSM), and text mining and applications (TeMA). 410 0$aLecture Notes in Artificial Intelligence,$x2945-9141 ;$v10423 606 $aArtificial intelligence 606 $aAlgorithms 606 $aComputer networks 606 $aComputers, Special purpose 606 $aSoftware engineering 606 $aSocial sciences$xData processing 606 $aArtificial Intelligence 606 $aAlgorithms 606 $aComputer Communication Networks 606 $aSpecial Purpose and Application-Based Systems 606 $aSoftware Engineering 606 $aComputer Application in Social and Behavioral Sciences 615 0$aArtificial intelligence. 615 0$aAlgorithms. 615 0$aComputer networks. 615 0$aComputers, Special purpose. 615 0$aSoftware engineering. 615 0$aSocial sciences$xData processing. 615 14$aArtificial Intelligence. 615 24$aAlgorithms. 615 24$aComputer Communication Networks. 615 24$aSpecial Purpose and Application-Based Systems. 615 24$aSoftware Engineering. 615 24$aComputer Application in Social and Behavioral Sciences. 676 $a006.3 702 $aOliveira$b Eugénio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGama$b João$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aVale$b Zita$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLopes Cardoso$b Henrique$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484872303321 996 $aProgress in Artificial Intelligence$92556515 997 $aUNINA