The Equations World

Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds.  With his masterful ability to convey the excitement and elegance of mathematics, author Boris Pritsker explores equations from the simplest to the most complex—their history, their charm, and their usefulness in solving problems. 
The Equations World bridges the fields of algebra, geometry, number theory, and trigonometry, solving more than 280 problems by employing a wide spectrum of techniques. The author demystifies the subject with efficient hints, tricks, and methods that reveal the fun and satisfaction of problem solving. He also demonstrates how equations can serve as important tools for expressing a problem's data, showing the ways in which they assist in fitting parts together to solve the whole puzzle. In addition, brief historical tours reveal the foundations of mathematical thought by tracing the ideas and approaches developed by mathematicians over the centuries. Both recreational mathematicians and ambitious students will find this book an ample source of enlightenment and enjoyment.

Kiev native Boris Pritsker worked as a math teacher in a special school for gifted and talented high school students with advanced programs in algebra, geometry, trigonometry, and calculus. His teaching experience led to his publication of numerous articles and problems in mathematical magazines in the former Soviet Union, United States, Australia, and Singapore. His other Dover book is Geometrical Kaleidoscope.

Preface
1. Linear Equations
2.Quadratic Equations
3. Cubic and Quartic Equations
4. Division of Polynomials. Rational Root Theorem. Little Bezout's Theorem and its Consequences
5. Irrational Equations
6. Trignometric Identities
7. Trignometric Equations
8. Exponential and Logarithmic Equations
9. Classic Inequalities
10. Multi-Variable Equations
11. Search for Natural Solutions
12. Systems of Mom-Linear Equations
13. Brainstorming
Problems and Solutions
References
Index