This significantly revised and expanded second edition of Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems
منبع : mathworld.persianblog.com برگرفته از : ملاصدرا
توضیحات/خلاصه : آنچه كه تناقض آميز، باورنکردني يا خلاف انتظار (و شهود) ماست.(آنچه به نظر درست مي رسد ولي غلط است، به نظر غلط مي رسد ولي درست است، يا به نظر غلط مي رسد و واقعا? غلط است. (
فايده پارادوکسها ۱)ايجاد انگيزه براي گسترش مرزهاي دانش؛ ۲)تعميق بينش؛ ۳)تعميم شيوه هاي استدلال؛ ۴)افزايش دقت؛ ۵)وضع قوانين زبان شناختي جديد. بعضي پارادوكسها که متضمن تناقض اند صادق به نظر مي رسند وحتي اين ايده را به ذهن نزديك مي كنند كه چرا تناقضها را نپذيريم!درمنطق پيراسازگار (paraconsistent) مي توان تناقض داشت و بر خلاف رياضيات کلاسيک، چنين نيست كه از تناقض هر چيزي نتيجه شود.
W. W. Rouse Ball "Mathematical Recreations And Essays " Kessinger Publishing | 2004-06-30 | ISBN:1417921269 | 380 pages | Djvu | 14,4 Mb
This book contains descriptions of various problems of the kind usually termed Mathematical Recreations and a few Essays on some analogous questions. Contents: Arithmetical Recreations; Geometrical Recreations; Mechanical Recreations; Chessboard Recreations; Magic Squares; Bees and Their Cells; Unicursal Problems; Kirkman's School-Girls Problem; Miscellaneous Problems; Calculating Prodigies; Cryptographs and Ciphers; String Figures; and Three Classical Geometrical Problems.