Methods of Solving Sequence and Series Problems / by Ellina Grigorieva.
Grigorieva, Ellina, author.
2016
QA292
Available Online

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Title Methods of Solving Sequence and Series Problems / by Ellina Grigorieva.
Author Grigorieva, Ellina, author.
ISBN 9783319456867
3319456865
3319456857
9783319456850
DOI https://doi.org/10.1007/978-3-319-45686-7
Published Cham : Springer International Publishing : Imprint : Birkhäuser, 2016.
Language English
Description 1 online resource (xx, 281 pages) : illustrations.
Other Standard Identifiers 10.1007/978-3-319-45686-7 doi
Call Number QA292
Dewey Decimal Classification 515.24
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Available in Other Form Print version: 9783319456850
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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.

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