Methods of Solving Sequence and Series Pro...

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Cover: 9783319456850 | Methods of Solving Sequences and Series Problems | Ellina Grigorieva

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Sprache: Englisch

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Beschreibung

This 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.

Über den Autor

Ellina Grigorieva, PhD, is Professor of Mathematics at Texas Women's University, Denton, TX, USA

Zusammenfassung

Ideal for independent study, competition training, or as an extra resource in the classroom

Contains nearly 300 problems with answers, hints, and detailed solutions

Includes fascinating special topics related to sequences and series not usually covered in calculus classes

Includes supplementary material: [...]

Inhaltsverzeichnis

Preface.- 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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	304
Inhalt:	xx 281 S. 21 s/w Illustr. 25 farbige Illustr. 281 p. 46 illus. 25 illus. in color.
ISBN-13:	9783319456850
ISBN-10:	3319456857
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Grigorieva, Ellina
Auflage:	1st ed. 2016
Hersteller:	Springer International Publishing
Maße:	241 x 160 x 22 mm
Von/Mit:	Ellina Grigorieva
Erscheinungsdatum:	16.12.2016
Gewicht:	0,623 kg

preigu-id: 108150511