000			01981nam a22002177a 4500
003			OSt
005			20241129132122.0
008			190613b ||||| |||| 00| 0 eng d
020			_a9780821853146
040			_cEducational Supplies _aICTS-TIFR
050			_aQA431
100			_aEfthimiou Costas
245			_a Introduction to functional equations _b: theory and problem-solving strategies for mathematical competitions and beyond
260			_aRhode Island: _bAmerican Mathematical Society, _c[c2011]
300			_a363 p
490			_aMSRI Mathematical Circles Library _vVol. 6
505			_aI. Background II. Basic equations III. Generalizations IV. Changing the rules V. Equations with no parameters VI. Getting additional experience VII. Auxiliary material
520			_aFunctions 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. --- summary provided by publisher
650			_aMathematics
942			_2lcc _cBK
999			_c2720 _d2720