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"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.
Everybody’s favorite bunnies, Max and Ruby, are back, starring in their very own ABC concept book. Max’s ants have escaped from their farm, and now they’re searching for food. The ants start with Max’s sandwich, and soon they’re everywhere! Fortunately, Ruby comes to the rescue. Max’s ABC teaches the alphabet by featuring a different letter on each page, large and colorful so they’re easy to spot. The very youngest readers will love practicing their letters with Max and Ruby.
This comprehensive, practical tutorial helps programmers understand both C++ and object-oriented design methodologies, so they can write C++ that truly meets its potential. This text incorporates the newer language features, including templates and exception handling, and explains how to apply C++ language constructs, design guidelines, and object-oriented methodology to solve real world problems.
Includes the 9th-61st annual report of the Agricultural Experiment Station (called 9th-11th, Agricultural College Experiment Station; called 12th-59th annual report of the Experiment Station) and issued by Michigan State College (called earlier, State Agricultural College (Mich.); Michigan Agricultural College).