000 03611nam a22004815i 4500
001 978-0-387-48901-8
003 DE-He213
005 20161121231122.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387489018
_9978-0-387-48901-8
024 7 _a10.1007/978-0-387-48901-8
_2doi
050 4 _aQA431
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.625
_223
082 0 4 _a515.75
_223
245 1 0 _aFunctional Equations and How to Solve Them
_h[electronic resource] /
_cedited by Christopher G. Small.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXII, 131 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProblem Books in Mathematics,
_x0941-3502
505 0 _aAn historical introduction -- Functional equations with two variables -- Functional equations with one variable -- Miscellaneous methods for functional equations -- Some closing heuristics -- Appendix: Hamel bases -- Hints and partial solutions to problems.
520 _aThis book covers topics in the theory and practice of functional equations. Special emphasis is given to methods for solving functional equations that appear in mathematics contests, such as the Putnam competition and the International Mathematical Olympiad. This book will be of particular interest to university students studying for the Putnam competition, and to high school students working to improve their skills on mathematics competitions at the national and international level. Mathematics educators who train students for these competitions will find a wealth of material for training on functional equations problems. The book also provides a number of brief biographical sketches of some of the mathematicians who pioneered the theory of functional equations. The work of Oresme, Cauchy, Babbage, and others, is explained within the context of the mathematical problems of interest at the time. Christopher Small is a Professor in the Department of Statistics and Actuarial Science at the University of Waterloo. He has served as the co-coach on the Canadian team at the IMO (1997, 1998, 2000, 2001, and 2004), as well as the Waterloo Putnam team for the William Lowell Putnam Competition (1986-2004). His previous books include Numerical Methods for Nonlinear Estimating Equations (Oxford 2003), The Statistical Theory of Shape (Springer 1996), Hilbert Space Methods in Probability and Statistical Inference (Wiley 1994). From the reviews: Functional Equations and How to Solve Them fills a need and is a valuable contribution to the literature of problem solving. - Henry Ricardo, MAA Reviews The main purpose and merits of the book...are the many solved, unsolved, partially solved problems and hints about several particular functional equations. - Janos Aczel, Zentralblatt.
650 0 _aMathematics.
650 0 _aDifference equations.
650 0 _aFunctional equations.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aNumerical Analysis.
700 1 _aSmall, Christopher G.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387345345
830 0 _aProblem Books in Mathematics,
_x0941-3502
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-48901-8
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508880
_d508880