MARC record from Internet Archive

LEADER: 02995cam 2200385 i 4500
001 9925254699901661
005 20161122141712.5
008 151002s2016 njua b 001 0 eng
010 $a 2015037578
019 $a951005137
020 $a9780691170190$q(hardcover)
020 $a0691170193$q(hardcover)
024 8 $a40026175053
035 $a99970053553
035 $a(OCoLC)922970903$z(OCoLC)951005137
035 $a(OCoLC)ocn922970903
040 $aDLC$beng$erda$cDLC$dYDX$dYDXCP$dBTCTA$dOCLCF$dOCLCO$dCDX$dCOO$dYUS$dPUL$dNZLPP
042 $apcc
050 00 $aQA241$b.A85 2016
082 00 $a512.7$223
100 1 $aAsh, Avner,$d1949-$eauthor.
245 10 $aSumming it up :$bfrom one plus one to modern number theory /$cAvner Ash and Robert Gross.
264 1 $aPrinceton :$bPrinceton University Press,$c[2016]
300 $axiii, 229 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references and index.
520 $aWe use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series--long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+...=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.
650 0 $aNumber theory.
650 0 $aMathematics$vPopular works.
700 1 $aGross, Robert,$d1959-$eauthor.
776 08 $iElectronic version:$aAsh, Avner, 1949-$tSumming it up.$dPrinceton : Princeton University Press, [2016]$z9781400880539$w(OCoLC)946158222
947 $hCIRCSTACKS$r31786103044654
980 $a99970053553