Overview
- 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: sn.pub/extras
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Table of contents (5 chapters)
Keywords
About this book
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.
Reviews
“The volume is mainly intended for students studying the basic principles of analysis. It should be especially helpful to teachers using the book as a text and to students using the book as a reference. The volume can also be used by faculty who are looking for interesting and insightful problems that are not commonly found in other textbooks. The volume is also suitable for self-study.” (Teodora-Liliana Rădulescu, zbMath 1367.40001, 2017)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Methods of Solving Sequence and Series Problems
Authors: Ellina Grigorieva
DOI: https://doi.org/10.1007/978-3-319-45686-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-45685-0Published: 16 December 2016
Softcover ISBN: 978-3-319-83348-4Published: 29 April 2018
eBook ISBN: 978-3-319-45686-7Published: 09 December 2016
Edition Number: 1
Number of Pages: XX, 281
Number of Illustrations: 21 b/w illustrations, 25 illustrations in colour
Topics: Sequences, Series, Summability, Mathematics Education