LEADER 03397nam 22005295 450 001 9910254070803321 005 20200703002609.0 010 $a3-319-45686-5 024 7 $a10.1007/978-3-319-45686-7 035 $a(CKB)3710000001006487 035 $a(DE-He213)978-3-319-45686-7 035 $a(MiAaPQ)EBC6314257 035 $a(MiAaPQ)EBC5576424 035 $a(Au-PeEL)EBL5576424 035 $a(OCoLC)1066182240 035 $a(PPN)197457622 035 $a(EXLCZ)993710000001006487 100 $a20161209d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMethods of Solving Sequence and Series Problems /$fby Ellina Grigorieva 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XX, 281 p. 46 illus., 25 illus. in color.) 311 $a3-319-45685-7 327 $aPreface -- Introduction to Sequences and Series -- Further Study of Sequences and Series -- Series Convergence Theorems and Applications -- Real Life Applications of Geometric and Arithmetic Sequences -- Homework. 330 $aThis book aims to dispel the mystery and fear experienced by students surrounding sequences, series, convergence, and their applications. The author, an accomplished female mathematician, achieves this by taking a problem solving approach, starting with fascinating problems and solving them step by step with clear explanations and illuminating diagrams. The reader will find the problems interesting, unusual, and fun, yet solved with the rigor expected in a competition. Some problems are taken directly from mathematics competitions, with the name and year of the exam provided for reference.  Proof techniques are emphasized, with a variety of methods presented.  The text aims to expand the mind of the reader by often presenting multiple ways to attack the same problem, as well as drawing connections with different fields of mathematics. Intuitive and visual arguments are presented alongside technical proofs to provide a well-rounded methodology. With nearly 300 problems including hints, answers, and solutions,Methods of Solving Sequences and Series Problems is an ideal resource for those learning calculus, preparing for mathematics competitions, or just looking for a worthwhile challenge. It can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks.   . 606 $aSequences (Mathematics) 606 $aMathematics?Study and teaching  606 $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X 606 $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000 615 0$aSequences (Mathematics). 615 0$aMathematics?Study and teaching . 615 14$aSequences, Series, Summability. 615 24$aMathematics Education. 676 $a515.24 700 $aGrigorieva$b Ellina$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755612 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254070803321 996 $aMethods of solving sequence and series problems$91523457 997 $aUNINA