Methods of Solving Sequence and Series Problems

Authors: Grigorieva, Ellina

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  • 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
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書籍の購入

イーブック ¥5,147
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-45686-7
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
ハードカバー ¥6,434
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-45685-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
ソフトカバー ¥6,434
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-83348-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
この教本について

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.   

著者について

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

レビュー

“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)

書籍の購入

イーブック ¥5,147
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-45686-7
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
ハードカバー ¥6,434
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-45685-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
ソフトカバー ¥6,434
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-83348-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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書誌情報

Bibliographic Information
Book Title
Methods of Solving Sequence and Series Problems
Authors
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
イーブック ISBN
978-3-319-45686-7
DOI
10.1007/978-3-319-45686-7
ハードカバー ISBN
978-3-319-45685-0
ソフトカバー 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