This significantly revised and expanded second edition of "Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.With many new or expanded examples, problems, and solutions, this second edition includes completely rewritten discussions preceding each of the 30 units, as well as a more user-friendly style with more accessible and inviting examples. Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, for professional teacher development seminars and workshops, for self-study, or as a resource for training for mathematical competitions.
Stretch your mental powers and become an IQ wizard. Stimulating and fun, these logic puzzles, mind-benders, mathematical teasers, and conundrums are a must-have for anyone serious about reaching his or her full potential. And they're compiled by two of MENSA's leading puzzle editors who really know something about giving the brain a workout. Each of the 20 sections contains 25 puzzles; no specialist knowledge is required to answer the questions, and hard and easy ones are randomly mixed. Solve them using standard mathematical or alphabetical calculations. (Some tables up front--including a multiplication table and lists of square, cube, and prime numbers--offer a little extra help for those in need.) So start using that gray matter to its fullest and watch in amazement as your IQ soars to exceptional heights.
From creating the pyramids to exploring infinity, this pocket size book traces humankind's greatest achievements through the towering mathematical intellects of the past 4,000 years to where we stand today.
"Advanced Mathematical Concepts" provides comprehensive coverage of all the topics covered in a full-year Precalculus course. Its unique unit organization readily allows for semester courses in Trigonometry, Discrete Mathematics, Analytic Geometry, and Algebra and Elementary Functions. "Advanced Mathematical Concepts" lessons develop mathematics using numerous examples, real-world applications, and an engaging narrative. Graphs, diagrams, and illustrations are used throughout to help students visualize concepts. Directions clearly indicate which problems may require the use of a graphing calculator.
Reading age for native speakers: High School students
This book provides an introduction to using quantitative methods in educational research. The author writes for non-mathematical students, avoiding the use of mathematical formulae wherever possible.