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by Armando Santamaria Vergara (Contribution by), Tonatiuh Santamaria Vergara (Contribution by), Armando Santamaria Borja (Author)
El libro tiene el doble prop sito de servir como un libro de texto introductorio sobre Geometr a Anal tica y como gu a para entrenar en el planteamiento de problemas al lector que se inicia en el estudio sobre este tema. Est escrito en forma de lecciones orales, procurando tratar un solo concepto cognitivo en cada una de ellas y pensando en las dificultades que tiene el estudiante, en su intenci n de aprender matem ticas; por lo que, los 61 problemas y ejemplos presentados, en este primer volumen, antes de intentar solucionarlos, primero se discuten, porque un problema bien entendido es un problema parcialmente resuelto. Como consecuencia de tal discusi n, surgen con frecuencia, m s de un plan para resolverlos, a continuaci n se desarrolla el plan, sin casi omitir las operaciones necesarias, porque con frecuencia el estudiante no puede alcanzar la soluci n a partir de un planteamiento hecho. Finalmente se interpreta la soluci n, geom trica o f sicamente, seg n sea el caso, y en ocasiones se interpreta el significado geom trico o f sico de las propias operaciones realizadas. La interpretaci n de todo lo que hacemos, es hilo conductor del texto. Con frecuencia llegu a decir a mis alumnos en el aula: "si no son capaces de interpretar geom trica o f sicamente o de alg n modo la matem tica que estamos desarrollando, entonces no la est n entendiendo sino s lo memorizando y les aseguro que es la peor manera de intentar aprender matem ticas". Cuando el lector hace suya la manera correcta de interpretar sus c lculos, es capaz de autocorregirse, tanto en sus c lculos como en la estrategia propuesta para la soluci n. M s a n, espero que con este enfoque el estudiante se desprenda de su eterna pregunta: y ..., esto, para qu me sirve? Para lo cual se presentan adem s, algunas aplicaciones, en las 28 lecciones que se ofrecen en este primer volumen y al final de cada lecci n se proponen ejercicios y problemas relativos al tema presentado, haciendo en total m s de 400, cuyas correspondientes soluciones, a los ejercicios impares y de algunos pares, se ofrecen en las p ginas finales del texto. Gran parte de la teor a, se presenta en forma de problemas, con el prop sito de que el lector sepa, de d nde viene tal o cual f rmula que utiliza. El texto est tapizado de comentarios, observaciones que sirven para aclarar a n m s, los conceptos y tambi n se agregan algunas notas hist ricas interesantes.
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