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Methods of Solving Sequence and Series Problems
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Catalogue Information
Field name
Details
Dewey Class
515.24
Title
Methods of Solving Sequence and Series Problems ([EBook]) / by Ellina Grigorieva.
Author
Grigorieva, Ellina
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details
XX, 281 p. 46 illus., 25 illus. in color. : online resource.
ISBN
9783319456867
Summary Note
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. .:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-45686-7
Links to Related Works
Subject References:
Mathematics
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Mathematics Education
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Sequences (Mathematics)
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Sequences, Series, Summability
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Authors:
Grigorieva, Ellina
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515.24
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