Libros de Matemática fundamental, página 9 de 16

El objetivo de este libro es ofrecer una introducción a los fundamentos de la matemática. No se requiere un conocimiento de la lógica ni de la teoría de conjuntos, pero sí algún contacto con el álgebra de los numeros reales y el analisis real. Estos conocimientos son convenientes sobre todo para recorrer con facilidad la primera parte del libro, en la que se contextualiza la crisis de fundamentos, cuyo analisis se afronta en las partes segunda y tercera, dedicadas a la teoria de conjuntos y a sus paradojas. Cuando se consideran los enunciados cientificos desde el punto de vista de la verdad, se pone de manifiesto una importante caracteristica: la verdad cientifica resulta no ser una, sino multiple. Hay cuatro tipos de verdad cientifica: verdad logica, verdad por definicion, verdad matematica y verdad empirica. Ademas, estos tipos de verdad no son independientes. En particular, la justificacion de la verdad matematica requiere la consideracion de verdades logicas y verdades por definicion. Las leyes logicas, que garantizan las relaciones deductivas entre enunciados y las definiciones, que permiten construir nuevos conceptos a partir de conceptos previos, estan presentes en todo el conocimiento matematico y aparecen por tanto en los desarrollos de este libro.

It sounds impossible, yet as this enchanting, quizzical and evocative book shows, the art of mathematical imagining is not as mysterious as it seems. Drawing on poetry, literature and philosophy, Barry Mazur shows how we can all make the leap of imagination in order to start visualizing the enigmatic 'imaginary numbers' that first baffled mathematicians in the sixteenth century and are now seen as the bedrock of the universe.

Boiled-down essentials of the top-selling Schaum''s Outline series for the student with limited time.What could be better than the bestselling Schaum''s Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum''s Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form.Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials.

The goal of Mathematical Vistas is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. In order to offer a broad spectrum of exciting developments in mathematics, topics are treated at different levels of depth and thoroughness. Some chapters can be understood completely with little background, others can be thought of as appetizers for further study. A number of BREAKS are included in each chapter. These are problems designed to test the reader''s understanding of the material thus far in the chapter. This book is a sequel to the authors''s popular book "Mathematical Reflections" and can be read independently.

Boiled-down essentials of the top-selling Schaum''s Outline series for the student with limited time.What could be better than the bestselling Schaum''s Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum''s Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form.Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials.

"A first-rate contribution to the history and philosophy of logic, this is scholarship at its best. It is, to my knowledge, the first book in the history of logic that focuses completely on a single result. Very original in approach and conception, it goes against the grain of much recent scholarship. Given the complexity of the subject, Badesa could not have done a better job of being clear and making the presentation accessible."--""The Birth of Model Theory" represents a long overdue, in-depth analysis and exposition of one of the most important results in mathematical logic. There are hardly any informed, sustained treatments of Lowenheim''s work to be found in the literature. This well-written book should fill this gap."--

La séptima edición de esta reconocida obra ofrece una cobertura equilibrada de la teoría, las aplicaciones y el cálculo en la investigación de operaciones, e incluye situaciones prácticas completamente analizadas. Cada capitulo contiene ejemplos y aplicaciones tomadas de estudios de casos ya pubicados. Para destacar la efectividad de la investigacion de operaciones para la toma de decisiones, esta edicion hace enfasis en las herramientas de calculo modernas -los programas de computo.

Martha L. Abell, James P. BraseltonMathematica by Example, 4e is designed to introduce the Mathematica programming language to a wide audience. This is the ideal text for all scientific students, researchers, and programmers wishing to learn or deepen their understanding of Mathematica. The program is used to help professionals, researchers, scientists, students and instructors solve complex problems in a variety of fields, including biology, physics, and engineering. - Clear organization, complete topic coverage, and accessible exposition for novices - Fully compatible with Mathematica 6.0 - New applications, exercises and examples from a variety of fields including biology, physics and engineering - Includes a CD-ROM with all Mathematica input appearing in the book, useful to students so they do not have to type in code and commands