000			02164cam a22002295i 4500
008			230206s2016 gw |||| o |||| 0|eng
020			_a9783319456850 (HB)
041			_aeng
080			_a51 _bGRI
100	1		_aGrigorieva, Ellina
245	1	0	_aMethods of Solving Sequence and Series Problems
260			_aSwitzerland _bSpringer ( Birkhauser ) _c2016
300			_aXX, 281 p
505	0		_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.
520			_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. .
650		0	_aMathematics
650		0	_aSequences (Mathematics)
650	1	4	_aSequences, Series, Summability
650	2	4	_aMathematics Education
690			_aMathematics
942			_cBK _01
999			_c59335 _d59335