LEADER 03441nam 22005652 450 001 9910816810403321 005 20151002020704.0 010 $a1-61444-203-7 035 $a(CKB)2670000000205122 035 $a(SSID)ssj0000667042 035 $a(PQKBManifestationID)11457005 035 $a(PQKBTitleCode)TC0000667042 035 $a(PQKBWorkID)10674027 035 $a(PQKB)10456813 035 $a(UkCbUP)CR9781614442035 035 $a(MiAaPQ)EBC3330373 035 $a(Au-PeEL)EBL3330373 035 $a(CaPaEBR)ebr10728522 035 $a(OCoLC)929120468 035 $a(RPAM)16832271 035 $a(EXLCZ)992670000000205122 100 $a20111001d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA guide to plane algebraic curves /$fKeith Kendig$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2011. 215 $a1 online resource (xv, 193 pages) $cdigital, PDF file(s) 225 0 $aDolciani Mathematical Expositions, $vv. 46 225 0$aDolciani mathematical expositions ;$vno. 46 225 0$aMAA guides ;$vno. 7 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 $a0-88385-353-1 320 $aIncludes bibliographical references (p. 185-187) and index. 327 $a1. A gallery of algebraic curves -- 2. Points at infinity -- 3. From real to complex -- 4. Topology of algebraic curves in Pē(C) -- 5. Singularities -- 6. The big three: C, K, S. 330 $aThis book can be used in a one semester undergraduate course or senior capstone course, or as a useful companion in studying algebraic geometry at the graduate level. This Guide is a friendly introduction to plane algebraic curves. It emphasizes geometry and intuition, and the presentation is kept concrete. You'll find an abundance of pictures and examples to help develop your intuition about the subject, which is so basic to understanding and asking fruitful questions. Highlights of the elementary theory are covered, which for some could be an end in itself, and for others an invitation to investigate further. Proofs, when given, are mostly sketched, some in more detail, but typically with less. References to texts that provide further discussion are often included. Computer algebra software has made getting around in algebraic geometry much easier. Algebraic curves and geometry are now being applied to areas such as cryptography, complexity and coding theory, robotics, biological networks, and coupled dynamical systems. Algebraic curves were used in Andrew Wiles' proof of Fermat's Last Theorem, and to understand string theory, you need to know some algebraic geometry. There are other areas on the horizon for which the concepts and tools of algebraic curves and geometry hold tantalizing promise. This introduction to algebraic curves will be appropriate for a wide segment of scientists and engineers wanting an entrance to this burgeoning subject. 606 $aCurves, Plane 606 $aCurves, Algebraic 615 0$aCurves, Plane. 615 0$aCurves, Algebraic. 676 $a516.3/52 700 $aKendig$b Keith$f1938-$057776 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910816810403321 996 $aA guide to plane algebraic curves$93978189 997 $aUNINA