Problem Solving Strategies By Arthur Engel

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In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.

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Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week," thus bringing a creative atmosphere into the classrooms.

This content was uploaded by our users and we assume good faith they have the permission to share this book.This volume is a must-have for instructors wishing to enrich their teaching with some interesting non-routine problems and for individuals who are just interested in solving difficult and challenging problems.Most of the solutions are complete, but some merely point to the road leading to the final solution. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300.Equally, this is a must-have for individuals interested in solving difficult and challenging problems.Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions.Geometry Revisited by Coxeter and Greitzer; an excellent and thorough treatment of elementary geometry.Books in this series are devoted exclusively to problems - challenging, difficult, but accessible problems.I thought of looking at books for highschool competitions, but I don't think learning to solve those types of problems is very useful; many of them seem to rely much more heavily on memorized tricks (such as special factorizations and algebraic manipulations). Problem-Solving Strategies is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students.The series also features a number of successful titles that prepare students for problem-solving competitions.This course is an introduction to mathematical reason and formalism in the context of mathematical problem solving, such as induction, invariants, inequalities and generating functions.

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