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Este libro sienta las bases de las matemáticas, empezando por la lógica y las operaciones elementales y pasando por temas como la trigonometría, los números complejos, las notaciones matriciales y vectoriales, al tiempo que aborda la geometría plana, sólida y analítica, así como los rudimentos del cálculo combinatorio y numérico. Estos temas son necesarios para la comprensión del análisis matemático y de todos los desarrollos modernos, al tiempo que proporcionan una útil ampliación de conocimientos para una primera descripción matemática de los fenómenos naturales que nos rodean.
For a North American seeking to know the Mexican mind, and especially the sciences today and in their recent development, a great light of genius is to be found in Mexico City in the late 17th century. Tbe genius is that of one who surely may be counted as the first Mexican philosopher of nature, a nun of the Order of Saint Jerome: Sor Juana Ines de la Cruz. Sor Juana must speak for herself, from her penetrating exercise of an independent mind within a political and religious formation which denigrated women and circumscribed reason itself. To understand this world of ours, to join in an enlightenment which would be both natural and inspired, Sor Juana clearly understood the requirements of leaming, observing, logic and reasoning. In darkness foundering Words fail the troubled mind. For who, I ask, can light me When Reason is blind? Even now, after the great steps toward liberation of women, and the substantial scientific contributions toward sheer empirical awareness of both the multiple orders ofNature and the subtle aesthetics ofindividual art and social harmony, we too in the earthly world of the 20th century must affirm what she affirmed.
The Maple Summer Workshop and Symposium, MSWS '94, reflects the growing commu nity of Maple users around the world. This volume contains the contributed papers. A careful inspection of author affiliations will reveal that they come from North America, Europe, and Australia. In fact, fifteen come from the United States, two from Canada, one from Australia, and nine come from Europe. Of European papers, two are from Ger many, two are from the Netherlands, two are from Spain, and one each is from Switzerland, Denmark, and the United Kingdom. More important than the geographical diversity is the intellectual range of the contributions. We begin to see in this collection of works papers in which Maple is used in an increasingly flexible way. For example, there is an application in computer science that uses Maple as a tool to create a new utility. There is an application in abstract algebra where Maple has been used to create new functionalities for computing in a rational function field. There are applications to geometrical optics, digital signal processing, and experimental design.
This book presents the main research veins developed within the framework of the Anthropological Theory of the Didactic (ATD), a paradigm that originated in French didactics of mathematics. While a great number of publications on ATD are available in French and Spanish, Working with the Anthropological Theory of the Didactic in Mathematics Education is the first directed at English-speaking international audiences. Written and edited by leading researchers in ATD, the book covers all aspects of ATD theory and practice, including teaching applications. The chapters feature the most relevant and recent investigations presented at the 6th international conference on the ATD, offering a unique opportunity for an international audience interested in the study of mathematics teaching and learning to keep in touch with advances in educational research. The book is divided into four sections and the contributions explore key topics such as: The core concept of ‘praxeology’, including its development and functionalities The need for new teaching praxeologies in the paradigm of questioning the world The impact of ATD on the teaching profession and the education of teachers This is the second volume in the New Perspectives on Research in Mathematics Education. This comprehensive casebook is an indispensable resource for researchers, teachers and graduate students around the world.