The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning. Detailed solutions to all problems in each section are provided at the end of each chapter. The book can be used not only as a text but also for self-study.
The text covers algebra (solving single equations and systems of equations of varying degrees, algebraic manipulations for creative problem solving, inequalities, basic set theory, sequences and series, rates and proportions, unit analysis, and percentages), probability (counting techniques, introductory probability theory, more set theory, permutations and combinations, expected value, and symmetry), and number theory (prime factorizations and their applications, Diophantine equations, number bases, modular arithmetic, and divisibility). It focuses on guiding students through creative problem-solving and on teaching them to apply their knowledge in a wide variety of scenarios rather than rote memorization of mathematical facts. It is aimed at, but not limited to, high-performing middle school students and goes further in depth and teaches new concepts not otherwise taught in traditional public schools.
About the Author
Vinod Krishnamoorthy has won individual awards at many regional, US national, and international mathematics competitions, such as the AMC8/10, MathCounts, Math Field Day, Math Kangaroo, Math Olympiad, and the World Math Team Competition. In his spare time, he teaches aspiring mathematicians.
“Vinod Krishnamoorthy has produced a very interesting and useful book incorporating mathematical principles and examples aimed at high-performing middle school students who are currently in 6th through 8th grades. The book is bold, imaginative, and user-friendly. I congratulate Krishnamoorthy for producing such a handy learning tool for aspiring students as well as those accomplished in the subject.”~Prof. Alladi Venkatesh, University of California, USA
“Krishnamoorthy has written an amazing book, one that I certainly would have loved to have during my middle school and high school days! This is an impressive collection of problems, ideas, and tricks.”~Prof. Bharath. A. Sethuraman, California State University, USA
“Math tutor at the fingertips of middle school students. An excellent book for learning mathematics through numerous examples.”~Prof. Prasad Gudem, University of California, USA, and Qualcomm Technologies Inc., USA