Functions and their properties have been part of the rigorous
precollege curriculum for decades. And functional equations have
been a favorite topic of the leading national and international
mathematical competitions. Yet the subject has not received equal
attention by authors at an introductory level. The majority of the
books on the topic remain unreachable to the curious and
intelligent precollege student. The present book is an attempt to
eliminate this disparity. The book opens with a review chapter on
functions, which collects the relevant foundational information on
functions, plus some material potentially new to the reader. The
next chapter presents a working definition of functional equations
and explains the difficulties in trying to systematize the theory.
With each new chapter, the author presents methods for the solution
of a particular group of equations. Each chapter is complemented
with many solved examples, the majority of which are taken from
mathematical competitions and professional journals. The book ends
with a chapter of unsolved problems and some other auxiliary
material. The book is an invaluable resource for precollege and
college students who want to deepen their knowledge of functions
and their properties, for teachers and instructors who wish to
enrich their curricula, and for any lover of mathematical
problem-solving techniques.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Mathematical Circles Library |
Release date: |
October 2011 |
First published: |
October 2011 |
Authors: |
Costas Efthimiou
|
Dimensions: |
252 x 177 x 20mm (L x W x T) |
Format: |
Paperback
|
Pages: |
346 |
ISBN-13: |
978-0-8218-5314-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
0-8218-5314-7 |
Barcode: |
9780821853146 |
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