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020 _a9780387754727
_99780387754727
024 7 _a10.1007/9780387754727
_2doi
035 _avtls000332598
039 9 _a201509030231
_bVLOAD
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040 _aMX-SnUAN
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_cMX-SnUAN
_erda
050 4 _aQA150-272
100 1 _aSoifer, Alexander.
_eautor
_9303562
245 1 4 _aThe Colorado Mathematical Olympiad and Further Explorations :
_bFrom the Mountains of Colorado to the Peaks of Mathematics /
_cby Alexander Soifer.
264 1 _aBoston, MA :
_bSpringer US,
_c2011.
300 _axxxIx, 408 páginas 185 ilustraciones, 18 ilustraciones en color.
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aPreface -- Olympiad History: What it is and How it Started -- Three Celebrated Ideas -- Year 1 -- Year 2 -- Year 3 -- Year 4 -- Year 5 -- Year 6 -- Year 7 -- Year 8 -- Year 9 -- Year 10 -- Further Explorations -- Rooks in Space -- Chromatic Number of the Plane -- Polygons in a Colored Circle, Polyhedra in a colored Sphere -- How Does one Cut a Triangle? -- Points in Convex Figures -- Triangles in a Colored Plane -- Rectangles in a Colored Plane -- Colored Polygons -- Infinite-Finite -- Schur Theorem -- Bibliography -- Year 11 -- Year 12 -- Year 13 -- Year 14 -- Year 15 -- Year 16 -- Year 17 -- Year 18 -- Year 19 -- Year 20 -- Further Explorations -- Chromatic Number of a Grid -- Stone Age Entertainment -- The Erdös Problem -- Squares in a Square -- Washington Recangles -- Olde Victorian Map Colouring -- More Stone Age Entertainment -- The 1-10-100 Problem -- King Arthur and the Knights of the Round Table -- A Map Coloring "Game" -- Bibliography.
520 _aThis book presents the 20-year account of the Colorado Mathematical Olympiad — its dreams and rewards, hard work and conflict. It features more than just original wonderful problems and their ingenious solutions; it tells a compelling story involving the lives of those who have been part of the Olympiad. The reader will meet Olympians and follow their paths as professionals. In the vast field of competition books, this book is unique, for it builds bridges between Olympiads and “real” mathematics by demonstrating through 20 “Further Explorations,” the trains of mathematical thought, showing how a solved Olympiad problem gives birth to deeper problems and leads to the forefront of mathematical research full of striking results and open problems. Like Gauss, Alexander Soifer would not hesitate to inject Eureka! at the right moment. Like van der Waerden, he can transform a dispassionate exercise in logic into a compelling account of sudden insights and ultimate triumph. — Cecil Rousseau Chair, USA Mathematical Olympiad Committee  ... this book is not so much mathematical literature as it is literature built around mathematics… with the Further Explorations sections, anyone so inclined could spend a lifetime on the mathematics sprouting from this volume. —Peter D. Johnson, Jr., Auburn University I finished reading the book in one sitting – I just could not put it down. Professor Soifer has indebted us all by first making the effort to organize the Colorado Mathematical Olympiads, and then making the additional effort to tell us about it in such an engaging and useful way. —Branko Grünbaum, University of Washington A delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved. —Paul Erd?s The book is a gold mine of brilliant reasoning with special emphasis on the power and beauty of coloring proofs. Strongly recommended to both serious and recreational mathematicians on all levels of expertise. —Martin Gardner
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387754710
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-75472-7
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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