This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice.
La idea de que el desarrollo del conocimiento científico implica un proceso de cambio o transformación más o menos radical ha imperado desde el último tercio del siglo pasado surgiendo de manera interrelacionada desde tres grandes campos de análisis del conocimiento: el psicológico, el epistemológico y el educativo.
Este libro es una introducción a la teoría de números, también conocida como "aritmética superior": comienza con una discusión sobre la noción de divisibilidad y aborda las propiedades elementales de las congruencias; estudia la existencia de raíces y las congruencias cuadráticas, para concluir con el estudio de algunas ecuaciones diofantinas de grado 2 y 3, además de la llamada ecuación de Pell.
This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces.
Although data engineering is a multi-disciplinary field with applications in control, decision theory, and the emerging hot area of bioinformatics, there are no books on the market that make the subject accessible to non-experts.
This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice.
This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces.
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength.
This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings.
Relation theory originates with Hausdorff (Mengenlehre 1914) and Sierpinski (Nombres transfinis, 1928) with the study of order types, specially among chains = total orders = linear orders.
