TY - BOOK ID - 21760600 TI - Algebraic geometry : a problem solving approach AU - Garrity, Thomas A. AU - Belshoff, Richard G. AU - Boos, Lynette AU - Brown, Ryan AU - Lienert, Carl AU - Murphy, David AU - Navarra-Madsen, Junalyn AU - Poitevin, Pedro AU - Robinson, Shawn AU - Snyder, Brian AU - Werner, Caryn AU - Drouilhet, Sidney James II AU - Bressoud, David M. AU - American mathematical society PY - 2013 SN - 9780821893968 0821893963 PB - Providence, Rhode Island : [Princeton, New Jersey] : American Mathematical Society ; Institute for Advanced Study, DB - UniCat KW - Geometry, Algebraic KW - Géométrie algébrique KW - Algebraic geometry KW - Instructional exposition (textbooks, tutorial papers, etc.) KW - Geometry KW - Géométrie algébrique. KW - Geometry, Algebraic. KW - Algebraic geometry -- Instructional exposition (textbooks, tutorial papers, etc.) UR - https://www.unicat.be/uniCat?func=search&query=sysid:21760600 AB - This text consists of a series of exercises, plus some background information and explanations, starting with conics and ending with sheaves and cohomology. The first chapter on conics is appropriate for first-year college students (and many high school students). Chapter 2 leads the reader to an understanding of the basics of cubic curves, while Chapter 3 introduces higher degree curves. Both chapters are appropriate for people who have taken multivariable calculus and linear algebra. Chapters 4 and 5 introduce geometric objects of higher dimension than curves. Abstract algebra now plays a critical role, making a first course in abstract algebra necessary from this point on. The last chapter is on sheaves and cohomology, providing a hint of current work in algebraic geometry. ER -