LEADER 03931nam 22006015 450 001 9910735090703321 005 20240509131321.0 010 $a3-031-21321-1 024 7 $a10.1007/978-3-031-21321-2 035 $a(CKB)27670939400041 035 $a(DE-He213)978-3-031-21321-2 035 $a(PPN)272255084 035 $a(MiAaPQ)EBC30647803 035 $a(Au-PeEL)EBL30647803 035 $a(EXLCZ)9927670939400041 100 $a20230714d2023 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDiscrete Mathematics with Graph Theory /$fby Santosh Kumar Yadav 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (XX, 648 p. 265 illus.) 311 $a9783031213205 327 $aPreliminaries -- The languages of Sets -- Basic Combinatorics -- Mathematical Logic -- Relations -- Functions -- Lattice Theory -- Boolean Algebra and Applications -- Fuzzy Algebra -- Formal Languages and Automata Theory -- The Basics of Graph Theory -- Trees -- Planar Graphs -- Directed Graphs -- Matching and Covering -- Coloring of Graphs. . 330 $aThis book is designed to meet the requirement of undergraduate and postgraduate students pursuing computer science, information technology, mathematical science, and physical science course. No formal prerequisites are needed to understand the text matter except a very reasonable background in college algebra. The text contains in-depth coverage of all major topics proposed by professional institutions and universities for a discrete mathematics course. It emphasizes on problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof technique, algorithmic development, algorithm correctness, and numeric computations. A sufficient amount of theory is included for those who enjoy the beauty in development of the subject and a wealth of applications as well as for those who enjoy the power of problem-solving techniques. Biographical sketches of nearly 25 mathematicians and computer scientists who have played a significant role in the development of the field are threaded into the text to provide a human dimension and attach a human face to major discoveries. Each section of the book contains a generous selection of carefully tailored examples to classify and illuminate various concepts and facts. Theorems are backbone of mathematics. Consequently, this book contains the various proof techniques, explained and illustrated in details. Most of the concepts, definitions, and theorems in the book are illustrated with appropriate examples. Proofs shed additional light on the topic and enable students to sharpen thin problem-solving skills. Each chapter ends with a summary of important vocabulary, formulae, properties developed in the chapter, and list of selected references for further exploration and enrichment. 606 $aDiscrete mathematics 606 $aGraph theory 606 $aDiscrete Mathematics 606 $aGraph Theory 606 $aApplications of Discrete Mathematics 606 $aMatemātica discreta$2thub 606 $aTeoria de grafs$2thub 608 $aLlibres electrōnics$2thub 615 0$aDiscrete mathematics. 615 0$aGraph theory. 615 14$aDiscrete Mathematics. 615 24$aGraph Theory. 615 24$aApplications of Discrete Mathematics. 615 7$aMatemātica discreta 615 7$aTeoria de grafs 676 $a511.1 676 $a511.1 700 $aYadav$b Santosh Kumar$4aut$4http://id.loc.gov/vocabulary/relators/aut$01369223 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910735090703321 996 $aDiscrete Mathematics with Graph Theory$93562933 997 $aUNINA