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Breve manual de consulta para estudiantes de arquitectura o profesionales que necesiten refrescar puntualmente sus conocimientos sobre matemáticas.
"MATEMATICAS BASICAS. Una Introducción al Cálculo" tiene una fácil manera para aprender a aprender Matemáticas con cuatro capítulos principales; el primero está referido a la teoría de conjuntos, el sistema numérico y la recta real, junto con el sistema cartesiano del plano y espacio. El segundo capítulo muestra aplicaciones de la teoría de conjuntos, las permutaciones, las combinaciones, las relaciones y las funciones. El tercer capítulo ilustra traslaciones y modelos funcionales con los tipos de funciones: real, polinómica, constante, lineal, cuadrática, exponencial, logarítmica, trigonométricas y función inversa. El cuarto capítulo desarrolla las ecuaciones y desigualdades, junto con sistemas de ecuaciones y desigualdades lineales o no lineales. El quinto capítulo concluye con ejercicios de recapitulación resueltos. Esta obra está dirigida a estudiantes universitarios en programas académicos presenciales o de educación a distancia en ciencias económicas, administrativas, sociales y humanísticas.
Recull dels textos de les conferències donades al Curso de Verano que, sota el títol "400 años de matemáticas en torno al último teorema de Fermat" va organitzar la Universidad Complutense de Madrid a El Escorial (Madrid), durant el mes d'agost de 1994.
This anthology presents a comprehensive review of mathematics and its teaching in the following nations in South America, Central America, and the Caribbean: Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Cuba, Guyana, Haiti, Honduras, México, Panamá, Paraguay, Perú, Puerto Rico, Trinidad and Tobago, and Venezuela. The last summary of mathematics education encompassing countries from the Southern Americas appeared in 1966. Progress in the field during five decades has remained unexamined until now.
This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.
We continue with the series of Selected Mathematics Topics, designed for high school students. In this text we introduce the mathematical group concept, one of the most important mathematical theories of recent centuries. To achieve this, we begin in the first chapter by reviewing the concept of function between sets. In the second, third and fourth chapters we intuitively study the group concept, using examples of so-called permutation games, such as the Rubik's cube. Even, we see how the groups serve to solve some of these games, like the solitaire game. In the last chapters we introduce some musical terms that help us to see a group example in music.
The human brain is like one of our muscles, and like any of them, you must work constantly to not atrophy. We are used to seeing physically wellbeing more important than our own thinking, and because of that, we hardly work on our intelligence. The purpose of this book is to work that powerful "muscle". We will begin with problems that activate our brain, just like what makes a warm-up to the muscles. Then, as the reader moves forward, we will develop other important aspects, such as the use of appropriate language for problem solving, ordered reasoning, and mathematical logical thinking. Now, for this treatment to our brain to be effective, it is necessary for the reader to continue his exercise routine, once he starts, does not stop, in the end he will be able to realize that he has done a good to his mind.