Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Methods of Solving Sequence and Series Problems

Authors: Grigorieva, Ellina

Free Preview
  • 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
see more benefits

Buy this book

eBook $19.99
$39.99 (listprice)
price for USA in USD (gross)
valid through July 31, 2020
  • ISBN 978-3-319-45686-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $29.99
$49.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-319-45685-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $29.99
$49.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-319-83348-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.   

About the authors

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

Reviews

“The charm of this book is that it showcases a lot of problems that can be solved by ingenuity and elementary methods. … It does a good job of addressing the common problem that students can quote the test but can only apply it if the series has exactly the form of that test. … The writing is clear and there is a good narrative flow to keep you moving through what is essentially a series of worked problems.” (Allen Stenger, MAA Reviews, maa.org, March, 2017)

“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) 


Table of contents (5 chapters)

Table of contents (5 chapters)
  • Introduction to Sequences and Series

    Pages 1-63

    Grigorieva, Ellina

  • Further Study of Sequences and Series

    Pages 65-121

    Grigorieva, Ellina

  • Series Convergence Theorems and Applications

    Pages 123-190

    Grigorieva, Ellina

  • Real-Life Applications of Geometric and Arithmetic Sequences

    Pages 191-225

    Grigorieva, Ellina

  • Homework

    Pages 227-269

    Grigorieva, Ellina

Buy this book

eBook $19.99
$39.99 (listprice)
price for USA in USD (gross)
valid through July 31, 2020
  • ISBN 978-3-319-45686-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $29.99
$49.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-319-45685-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $29.99
$49.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-319-83348-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Methods of Solving Sequence and Series Problems
Authors
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-45686-7
DOI
10.1007/978-3-319-45686-7
Hardcover ISBN
978-3-319-45685-0
Softcover ISBN
978-3-319-83348-4
Edition Number
1
Number of Pages
XX, 281
Number of Illustrations
21 b/w illustrations, 25 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.