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Methods of Solving Sequence and Series Problems

  • Ellina Grigorieva

Table of contents

  1. Front Matter
    Pages i-xx
  2. Ellina Grigorieva
    Pages 1-63
  3. Ellina Grigorieva
    Pages 65-121
  4. Ellina Grigorieva
    Pages 123-190
  5. Ellina Grigorieva
    Pages 227-269
  6. Back Matter
    Pages 271-281

About this book

Introduction

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.   

Keywords

Sequences and Series Calculus Calculus Practice Problems Applications of Sequences Series Convergence Convergence Tests Math Competitions

Authors and affiliations

  • Ellina Grigorieva
    • 1
  1. 1.Department of Mathematics and Computer ScienceTexas Woman’s UniversityDentonUSA

Bibliographic information