Methods of Solving Nonstandard Problems

  • Ellina Grigorieva

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Ellina Grigorieva
    Pages 1-48
  3. Ellina Grigorieva
    Pages 49-158
  4. Ellina Grigorieva
    Pages 159-238
  5. Ellina Grigorieva
    Pages 239-322
  6. Back Matter
    Pages 323-327

About this book


This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas.   It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad.

Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions.  The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem.  Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems.   Over 360 problems are included with hints, answers, and detailed solutions. 

Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics.  Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.


Elementary Functions Math Problem Solving Mathematical Skills Mathematics Competitions Mathematics Olympiad

Authors and affiliations

  • Ellina Grigorieva
    • 1
  1. 1.Mathematics and Computer ScienceTexas Woman's UniversityDentonUSA

Bibliographic information