03370nam 2200565 a 450 991046192810332120200520144314.01-61444-203-7(CKB)2670000000205122(SSID)ssj0000667042(PQKBManifestationID)11457005(PQKBTitleCode)TC0000667042(PQKBWorkID)10674027(PQKB)10456813(UkCbUP)CR9781614442035(MiAaPQ)EBC3330373(Au-PeEL)EBL3330373(CaPaEBR)ebr10728522(OCoLC)929120468(EXLCZ)99267000000020512220110617d2011 uy 0engur|||||||||||txtccrA guide to plane algebraic curves[electronic resource] /Keith Kendig[Washington, D.C.] Mathematical Association of Americac20111 online resource (xv, 193 pages) digital, PDF file(s)Dolciani mathematical expositions ;no. 46MAA guides ;no. 7Bibliographic Level Mode of Issuance: Monograph0-88385-353-1 Includes bibliographical references (p. 185-187) and index.1. A gallery of algebraic curves -- 2. Points at infinity -- 3. From real to complex -- 4. Topology of algebraic curves in P[superscript 2](C) -- 5. Singularities -- 6. The big three: C,K,S.This 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.Curves, PlaneCurves, AlgebraicElectronic books.Curves, Plane.Curves, Algebraic.516.3/52Kendig Keith1938-57776MiAaPQMiAaPQMiAaPQBOOK9910461928103321A guide to plane algebraic curves2041374UNINA