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001			280918
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007			cr nn 008mamaa
008			150903s2006 xxu| o |||| 0|eng d
020			_a9780817644734 _99780817644734
024	7		_a10.1007/0817644733 _2doi
035			_avtls000333512
039		9	_a201509030721 _bVLOAD _c201404120637 _dVLOAD _c201404090417 _dVLOAD _y201402041113 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA440-699
100	1		_aAndreescu, Titu. _eautor _9303490
245	1	0	_aGeometric Problems on Maxima and Minima / _cby Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2006.
300			_ax, 264 páginas, 262 ilustraciones _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		_aMethods for Finding Geometric Extrema -- Selected Types of Geometric Extremum Problems -- Miscellaneous -- Hints and Solutions to the Exercises.
520			_aQuestions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a uniquely intuitive approach to the subject: it presents hundreds of extreme-value problems, examples, and solutions primarily through Euclidean geometry. Key features and topics: * Comprehensive selection of problems, including Greek geometry and optics, Newtonian mechanics, isoperimetric problems, and recently solved problems such as Malfatti’s problem * Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning * Presentation and application of classical inequalities, including Cauchy--Schwarz and Minkowski’s Inequality; basic results in calculus, such as the Intermediate Value Theorem; and emphasis on simple but useful geometric concepts, including transformations, convexity, and symmetry * Clear solutions to the problems, often accompanied by figures * Hundreds of exercises of varying difficulty, from straightforward to Olympiad-caliber Written by a team of established mathematicians and professors, this work draws on the authors’ experience in the classroom and as Olympiad coaches. By exposing readers to a wealth of creative problem-solving approaches, the text communicates not only geometry but also algebra, calculus, and topology. Ideal for use at the junior and senior undergraduate level, as well as in enrichment programs and Olympiad training for advanced high school students, this book’s breadth and depth will appeal to a wide audience, from secondary school teachers and pupils to graduate students, professional mathematicians, and puzzle enthusiasts.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aMushkarov, Oleg. _eautor _9306187
700	1		_aStoyanov, Luchezar. _eautor _9306188
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817635176
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/0-8176-4473-3 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280918 _d280918