LEADER 02411oam 2200709 450 001 9910713583703321 005 20200513081438.0 035 $a(CKB)5470000002501823 035 $a(OCoLC)974646657 035 $a(OCoLC)995470000002501823 035 $a(EXLCZ)995470000002501823 100 $a20170306d1989 ua 0 101 0 $aeng 135 $aurbn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEstimated use of water in Colorado, 1985 /$fby David W. Litke and Cynthia L. Appel 210 1$aDenver, Colorado :$cU.S. Geological Survey,$d1989. 215 $a1 online resource (xi, 157 pages) $cillustrations 225 1 $aWater-resources investigations report ;$v88-4101 300 $a"Prepared in cooperation with the Colorado Department of Natural Resources, Division of Water Resources, Office of the State Engineer." 320 $aIncludes bibliographical references (pages 114-115). 606 $aWater use$zColorado 606 $aWater-supply, Agricultural$zColorado 606 $aWater in agriculture$zColorado 606 $aWater-supply, Rural$zColorado 606 $aIndustrial water supply$zColorado 606 $aMunicipal water supply$zColorado 606 $aIndustrial water supply$2fast 606 $aMunicipal water supply$2fast 606 $aWater in agriculture$2fast 606 $aWater-supply, Agricultural$2fast 606 $aWater-supply, Rural$2fast 606 $aWater use$2fast 607 $aColorado$2fast 615 0$aWater use 615 0$aWater-supply, Agricultural 615 0$aWater in agriculture 615 0$aWater-supply, Rural 615 0$aIndustrial water supply 615 0$aMunicipal water supply 615 7$aIndustrial water supply. 615 7$aMunicipal water supply. 615 7$aWater in agriculture. 615 7$aWater-supply, Agricultural. 615 7$aWater-supply, Rural. 615 7$aWater use. 700 $aLitke$b David W.$01402989 702 $aAppel$b Cynthia L. 712 02$aGeological Survey (U.S.), 712 02$aColorado.$bOffice of the State Engineer. 801 0$bCOP 801 1$bCOP 801 2$bOCLCO 801 2$bOCLCF 801 2$bOCLCA 801 2$bGPO 906 $aBOOK 912 $a9910713583703321 996 $aEstimated use of water in Colorado, 1985$93519123 997 $aUNINA LEADER 03313nam 2200505 450 001 9910809802703321 005 20200520144314.0 010 $a1-118-74218-4 010 $a1-118-74214-1 010 $a1-118-74229-X 035 $a(CKB)4330000000006952 035 $a(MiAaPQ)EBC5615551 035 $a(Au-PeEL)EBL5615551 035 $a(CaPaEBR)ebr11640948 035 $a(OCoLC)1035799023 035 $a(NjHacI)994330000000006952 035 $a(EXLCZ)994330000000006952 100 $a20190112d2019 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFibonacci and Lucas numbers with applications$hVolume Two /$fThomas Koshy, Framingham State University 205 $aSecond edition. 210 1$aHoboken, NJ :$cWiley,$d2019. 215 $a1 online resource (754 pages) $cillustrations 225 1 $aPure and applied mathematics: a Wiley series of texts, monographs, and tracts 311 $a1-118-74208-7 320 $aIncludes bibliographical references and index. 330 $aVolume II provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev polynomials of both kinds. This volume offers a uniquely unified, extensive, and historical approach that will appeal to both students and professional mathematicians. As in Volume I, Volume II focuses on problem-solving techniques such as pattern recognition; conjecturing; proof-techniques, and applications. It offers a wealth of delightful opportunities to explore and experiment, as well as plentiful material for group discussions, seminars, presentations, and collaboration. In addition, the material covered in this book promotes intellectual curiosity, creativity, and ingenuity. Volume II features: A wealth of examples, applications, and exercises of varying degrees of difficulty and sophistication. Numerous combinatorial and graph-theoretic proofs and techniques. A uniquely thorough discussion of gibonacci subfamilies, and the fascinating relationships that link them. Examples of the beauty, power, and ubiquity of the extended gibonacci family. An introduction to tribonacci polynomials and numbers, and their combinatorial and graph-theoretic models. Abbreviated solutions provided for all odd-numbered exercises. Extensive references for further study. This volume will be a valuable resource for upper-level undergraduates and graduate students, as well as for independent study projects, undergraduate and graduate theses. It is the most comprehensive work available, a welcome addition for gibonacci enthusiasts in computer science, electrical engineering, and physics, as well as for creative and curious amateurs. 410 0$aPure and applied mathematics (John Wiley & Sons : Unnumbered) 606 $aFibonacci numbers 606 $aLucas numbers 615 0$aFibonacci numbers. 615 0$aLucas numbers. 676 $a512.7/2 700 $aKoshy$b Thomas$0601527 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910809802703321 996 $aFibonacci and Lucas numbers with applications$91020303 997 $aUNINA