Libros de estadística y probabilidad, página 39 de 115

Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. The 10th edition continues in the pattern of the 8th and 9th editions, adding important, but overlooked, topics while clarifying old ones, and building on the solid core emplaced in prior editions. It remains the only mainstream textbook that covers sufficient conditions for maxima and minima in higher dimensions. In the classical curriculum, differentials are defined as linear combinations of other differentials. But then later they are also asserted to be products of differentials, without explanation. This edition clarifies, connecting these new objects as they arise. Metrics are a rather fuzzy topic in most texts, leaving the questions that arc length implies hanging. The exploration of these questions leads to new gateway topics, including spherical geometry (as in navigation), and special relativity, which both emerge rather effortlessly once the metric concept is properly in place.The 10th edition is suitable for a semester course in differential equations, in addition to the existing standard material suitable for four semesters of calculus. Not only can it be used to deliver five standard courses of conventional material, it can do much more through some of the unique topics and approaches, which can be added or overlooked by the instructor without penalty. There is no other calculus book that deals better with computers and mathematics through Maple and now Python, while treating unique but important applications from information theory to Levy distributions. This 10th edition continues to aspire to its subtitle: A Complete Course. It is like no other.

La presencia de incertidumbre en la mayoría de las situaciones reales requiere de modelos basados en la Teoría de la Probabilidad que permitan manejarlos con rigor. En esta línea se sitúa la Simulacion Estocastica, a la que se dedica este texto y que trata de la representacion de sistemas cuya actividad se compone de elementos aleatorios interconectados. Asignaturas basadas en esta materia ya estan muy consolidadas en la Facultad de Matematicas de la UCM, en cuya docencia han estado implicados los autores, lo que les ha permitido conocer de primera mano las necesidades de aprendizaje de los alumnos.

Este manual de problemas, que pretende ser una ayuda prácica para los estudiosos de la Estadística aplicada a las Ciencias Sociales, incluye un capítulo final en el que se indican las soluciones a los mas de 500 problemas planteados, lo que, sin duda supondra, para los que se inician en la arida y ardua tarea de analizar e interpretar datos sociologicos, un inestimable refuerzo positivo.