Libros de Matemáticas para computación, página 3 de 9

What can computers do in principle? What are their inherent theoretical limitations? These are questions to which computer scientists must address themselves. The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function: intuitively a function whose values can be calculated in an effective or automatic way. This book is an introduction to computability theory (or recursion theory as it is traditionally known to mathematicians). Dr Cutland begins with a mathematical characterisation of computable functions using a simple idealised computer (a register machine); after some comparison with other characterisations, he develops the mathematical theory, including a full discussion of non-computability and undecidability, and the theory of recursive and recursively enumerable sets. The later chapters provide an introduction to more advanced topics such as Gildels incompleteness theorem, degrees of unsolvability, the Recursion theorems and the theory of complexity of computation. Computability is thus a branch of mathematics which is of relevance also to computer scientists and philosophers. Mathematics students with no prior knowledge of the subject and computer science students who wish to supplement their practical expertise with some theoretical background will find this book of use and interest.

The textbook provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving boundary value problems in ordinary differential equations. It would be a useful and timely text for a graduate course in numerical analysis of ODEs. It is written at a level which is accessible to such an audience, covers a wide variety of topics, both classical and modern, and contains a generous supply of homework exercises at the end of each chapter.

This book provides a well-written and clear introduction to the main topics of modern numerical analysis - sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. It contains a large number of examples and exercises and many figures. This text is suitable for courses in numerical analysis and can also form the basis for a numerical linear algebra course.

El libro se centra fundamentalmente en la introducción al entorno MATLAB, manejando la línea comando, los tipos de datos y las variables, a su vez pretende mostrar el tratamiento de matrices como herramienta indispensable en el cálculo con MATLAB, en la misma línea, se presenta la potencia de MATLAB para la expresión gráfica y se realiza una introducción a la programación en este entorno, exponiendo las construcciones elementales de control de flujo. Todo ello orientado a una aplicación directa sobre las señales discretas, para una sencilla asimilación de los conceptos propios de números complejos de vital importancia en Telecomunicaciones y de tratamiento básico de secuencias, estudiando más profundamente los distintos tipos de exponenciales complejas, tanto en cuanto a representación como en lo relativo a las operaciones básicas sobre la variable independiente: escalado, desplazamiento, diezmado e interpolación.

This largely self-contained book on the theory of quantum information focuses on precise mathematical formulations and proofs of fundamental facts that form the foundation of the subject. It is intended for graduate students and researchers in mathematics, computer science, and theoretical physics seeking to develop a thorough understanding of key results, proof techniques, and methodologies that are relevant to a wide range of research topics within the theory of quantum information and computation. The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. Each subsequent chapter includes challenging exercises intended to help readers to develop their own skills for discovering proofs concerning the theory of quantum information.

This book covers new and significant research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems.It includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; decision sciences in an industrial and manufacturing context; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.

En este libro se presentan una serie de casos prácticos que pretenden instruir al alumno en el planteamiento de modelos matemáticos para problemas de Optimización y el manejo de herramientas informáticas para la resolucion de dichos modelos. Asimismo, se incluye una coleccion de problemas de modelizacion propuestos y resueltos, con el objeto de ayudar al alumno a dominar este aspecto de la asignatura.

La lógica y la matemática discreta son herramientas básicas de trabajo para cualquier informático. Además, la imposición de las nuevas tecnologías en todos los campos hace evidente la necesidad de bibliografia para acercar el algebra a los estudios tecnicos a traves del ordenador. Los contenidos que se exponen en esta obra corresponden a la asignatura Algebra I de I. T. de Informatica de Gestion. Se han desarrollado los conocimientos teoricos minimos para la comprension de los metodos computacionales presentados en la obra. Aunque estan implementados en Mathematica 5.0 pueden ser trasladados facilmente a otro lenguaje de programacion

Este texto está escrito sin prestar atención especial al aspecto formal. Para seguirlo no se necesita un conocimiento previo de lógica y computación, por lo que es adecuado para iniciar el estudio de la logica matematica y del resto de los pilares de la informatica, especialmente para personas que lo quieran utilizar como herramienta informatica. Se ha tratado de escribir un libro para que lo puedan utilizar estuadiantes con un margen de edad y habilidad muy amplio. La logica y la computacion, son materias que no requieren gran base o experiencia para poder estudiarlas y adquirir un buen conocimiento de ellas en el nivel de iniciacion. Este nivel introductorio es el objetivo de este texto.

This text is designed to teach the basics of numerical analysis to students who need to apply the concepts of numerical computation in their other courses, rather than understand the theoretical basis of the mathematics. Significant changes in this edition include: the change of the FORTRAN code to pseudocode, allowing students to implement the algorithms in whatever language they choose (i.e. C, Pascal, or Fortran.); the text''s incorporation of computer algebra (CAS) programming and algorithms which should give students a better understanding of the differences between the algorithms and the language; more effiecinet algorithms which aim to modernize the text''s presentation.

Authors Cheney and Kincaid show students of science and engineering the modern computer''s potential for solving numerical problems and gives them ample opportunity to hone their skills in programming and problem solving. The text helps students learn about errors that inevitably accompany scientific computing and arms them with methods for detecting, predicting, and controlling these errors. In this edition a discussion of how to locate codes for numerical algorithms on the World Wide Web has been added. A new section on iterative methods for solving large systems of linear equations has also been added.A less scholarly approach and a different menu of topics sets this book apart from the authors'' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, SECOND EDITION.

Este manual surge con la intención de ofrecer una colección de ejercicios resueltos sobre estructuras de datos y métodos algorítmicos. El libro se divide en dos partes, la primera se dedica a las estructuras de datos y la segunda a los algoritmos, organizada esta ultima alrededor de la clasificacion habitual de metodos algoritmicos.

Barry S. CooperRecent work in computability theory has focused on Turing definability and promises to have far-reaching mathematical, scientific, and philosophical consequences. Written by a leading researcher, this is a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results that also serves as a guide to the direction of current research in the field. Computability Theory includes both the standard material for a first course in computability and more advanced looks at Turing degrees, forcing, Turing definability, and determinacy. The final chapter explores a variety of computability applications in mathematics and science.

Aspectos elementales de Matlab: expresiones aritmética y variables, manipulación de matrices, funciones elementales. Programación: ciclos y sentencias lógicas, ficheros. Gráficos: 2/3 dimensiones, funciones graficas. Recursos: almacenamiento de variables, funciones de entrada y salida, datos, directorios, entorno, errores, nº variable, identificadores, tiempo de ejecucion. Objetos graficos y propiedades: identificadores, propiedades, editor e inspector, tipos de uicontrols, uimenus. Creacion de interfaces graficas con guide: descripcion del panel de control y herramientas, ejemplos. Otros recursos: animacion, EraseMode, sonido.