02790cam  22005058i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000210016208200160018308400640019910000350026324501140029826300090041226400570042130000340047833600260051233700280053833800270056649000470059350400510064050503500069150600500104153300950109153800360118658800470122265000270126965000230129665000190131965000240133865000870136265000930144965001090154265001040165165001660175565000810192165000890200277601050209185600420219685600460223821815207RPAM20210624185947.0a      b    001 0 cr/|||||||||||210624s2021    riu     ob    001 0 eng    a9781470465025 (online)  aDLCbengerdacDLCdRPAM00aQA242b.K46 202100a512.7/4223  a11-XXa11-01a11D04a11D09a11D25a11G05a14H45a14H522msc1 aKendig, Keith,d1938-eauthor.12aA gateway to number theory :h[electronic resource] bapplying the power of algebraic curves /cKeith Kendig.  a2104 1aProvidence :bAmerican Mathematical Society,c[2021]  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aDolciani Mathematical Expositions, vv. 57  aIncludes bibliographical references and index.00tA marriage for the agestViewing the whole algebraic curvetEntering the world of elliptic curvestEvery elliptic curve is a group!tA million-dollar challengetEvery real elliptic curve lives in a donuttThe genustIn conclusion $\ldots $tWhat is a smooth complex curve?tAlgebraic curves in the disk modeltSome code for this books's programs1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2021  aMode of access : World Wide Web  aDescription based on print version record. 0aDiophantine equations. 0aCurves, Algebraic. 0aNumber theory. 7aNumber theory.2msc 7aNumber theory -- Instructional exposition (textbooks, tutorial papers, etc.).2msc 7aNumber theory -- Diophantine equations [See also 11Gxx, 14Gxx] -- Linear equations.2msc 7aNumber theory -- Diophantine equations [See also 11Gxx, 14Gxx] -- Quadratic and bilinear equations.2msc 7aNumber theory -- Diophantine equations [See also 11Gxx, 14Gxx] -- Cubic and quartic equations.2msc 7aNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Elliptic curves over global fields [See also 14H52].2msc 7aAlgebraic geometry -- Curves -- Special curves and curves of low genus.2msc 7aAlgebraic geometry -- Curves -- Elliptic curves [See also 11G05, 11G07, 14Kxx].2msc0 iPrint version: aKendig, Keith, 1938-tgateway to number theory :w(DLC)   2020052775z97814704562214 3Contentsuhttps://www.ams.org/dol/0574 3Contentsuhttps://doi.org/10.1090/dol/057