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Methods of Solving Sequence and Series Problems / by Ellina Grigorieva.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Grigorieva, Ellina., Author.
- Language:
- English
- Subjects (All):
- Sequences (Mathematics).
- Mathematics—Study and teaching .
- Sequences, Series, Summability.
- Mathematics Education.
- Local Subjects:
- Sequences, Series, Summability.
- Mathematics Education.
- Physical Description:
- 1 online resource (XX, 281 p. 46 illus., 25 illus. in color.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
- 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. .
- Contents:
- 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-45686-5
- OCLC:
- 1066182240
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