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105 Algebra Problems from the AwesomeMath Summer Program (Hardcover)
Loot Price: R1,775
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105 Algebra Problems from the AwesomeMath Summer Program (Hardcover)
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The main purpose of this book is to provide an introduction to
central topics in elementary algebra from a problem-solving point
of view. While working with students who were preparing for various
mathematics competitions or exams, the author observed that
fundamental algebraic techniques were not part of their
mathematical repertoire. Since algebraic skills are not only
critical to algebra itself but also to numerous other mathematical
fields, a lack of such knowledge can drastically hinder a student's
performance. Taking the above observations into account, the author
has put together this introductory book using both simple and
challenging examples which shed light upon essential algebraic
strategies and techniques, as well as their application in diverse
meaningful problems. This work is the first volume in a series of
such books. The featured topics from elementary and classical
algebra include factorizations, algebraic identities, inequalities,
algebraic equations and systems of equations. More advanced
concepts such as complex numbers, exponents and logarithms, as well
as other topics, are generally avoided. Nevertheless, some problems
are constructed using properties of complex numbers which challenge
and expose the reader to a broader spectrum of mathematics. Each
chapter focuses on specific methods or strategies and provides an
ample collection of accompanying problems that graduate in
difficulty and complexity. In order to assist the reader with
verifying mastery of the theoretical component, 105 problems are
included in the last sections of the book, of which 52 are
introductory and 53 are advanced. All problems come together with
solutions, many employing several approaches and providing the
motivation behind the solutions offered.
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