MARC Record from marc_columbia

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001 14753972
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006 m o d
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008 190513t20192019flu ob 001 0 eng d
035 $a(OCoLC)1202481661
035 $a(OCoLC)on1202481661
035 $a(NNC)14753972
040 $aN$T$beng$erda$epn$cN$T$dTYFRS$dEBLCP$dUKMGB$dOCLCF$dOCLCQ$dOSU$dOCLCQ$dZCU
015 $aGBB995474$2bnb
016 7 $a019404455$2Uk
020 $a9781351215800$q(electronic bk.)
020 $a1351215809$q(electronic bk.)
020 $a9781351215824$q(electronic bk.)
020 $a1351215825$q(electronic bk.)
020 $a9781351215794$q(electronic bk. ;$qMobipocket)
020 $a1351215795$q(electronic bk. ;$qMobipocket)
020 $a9781351215817$q(electronic bk. ;$qPDF)
020 $a1351215817$q(electronic bk. ;$qPDF)
020 $z9780815379423$q(hardcover)
020 $z0815379420$q(hardcover)
024 8 $a10.1201/9781351215824$2doi
037 $a9781351215824$bTaylor & Francis
050 4 $aQA161.B48$bS65 2019eb
072 7 $aMAT$x002040$2bisacsh
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049 $aZCUA
100 1 $aSpivey, Michael Zachary,$d1973-$eauthor.
245 14 $aThe art of proving binomial identities /$cMichael Z. Spivey
264 1 $aBoca Raton :$bCRC Press, Taylor & Francis Group,$c2019
264 4 $c©2019
300 $a1 online resource (xiv, 368 pages)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
520 $aThe book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton's binomial series), differentiation (Leibniz's generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics. The book is very suitable for advanced undergraduates or beginning graduate students and includes various exercises asking them to prove identities. Students will find that the text and notes at the end of the chapters encourages them to look at binomial coefficients from different angles. With this learning experience, students will be able to understand binomial coefficients in a new way
504 $aIncludes bibliographical references and index
505 0 $aIntroducing the binomial coefficients -- Basic techniques -- Combinatorics -- Calculus -- Probability -- Generating functions -- Recurrence relations and finite differences -- Special numbers -- Miscellaneous techniques -- Mechanical summation
545 0 $aMichael Z. Spivey is Professor of Mathematics at the University of Puget Sound, where he currently serves as chair of the Department of Mathematics and Computer Science. He earned his PhD in operations research from Princeton University. He has authored more than 25 mathematics papers, most of which are on optimization, combinatorics, or the binomial coeffcients.
588 0 $aPrint version record
650 0 $aBinomial coefficients$vTextbooks.
650 0 $aBinomial theorem$vTextbooks.
650 7 $aMATHEMATICS$xAlgebra$xIntermediate.$2bisacsh
650 7 $aMATHEMATICS$xGeneral.$2bisacsh
650 7 $aMATHEMATICS$xSet Theory.$2bisacsh
650 7 $aMATHEMATICS$xCombinatorics.$2bisacsh
650 7 $aBinomial coefficients.$2fast$0(OCoLC)fst00831914
650 7 $aBinomial theorem.$2fast$0(OCoLC)fst00831916
655 0 $aElectronic books.
655 4 $aElectronic books.
655 7 $aTextbooks.$2fast$0(OCoLC)fst01423863
776 08 $iPrint version:$aSpivey, Michael Zachary, 1973-$tArt of proving binomial identities.$dBoca Raton : CRC Press, Taylor & Francis Group, 2019$z9780815379423$w(DLC) 2019004991$w(OCoLC)1090279827
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio14753972$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS