Libros de Álgebra, página 17 de 28

DíAZ HERNáNDEZ, ANA MARíAEl objetivo fundamental del texto es que sea útil al estudiante de informática y para ello el criterio de la distribución del contenido es la homogeneidad del objeto de estudi incluyendo en cada capitulo un diagrama de flujo que permite al lector ver rapidamente que objetivo se persigue en el. Si el primer tomo se han desarrollado las unidades didacticas, en el segundo contiene notas utiles para trabajar con DERIVE, asi como ejercicios y propuestos en examenes de algebra.

Este libro pretende ser una iniciación accesible al estudio de las Variedades Diferenciables. El texto está diseñado para atender a los alumnos de una asignatura determinada: el contenido troncal de Geomatria Diferencial de Variedades del segundo ciclo de los planes de estudios de Ciencias Matematicas.

This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a two-semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced, making this book of great value to the student.

The hallmark of this text has been the authors'' clear, careful, and concise presentation of linear algebra so that students can fully understand how the mathematics works. The text balances theory with examples, applications, and geometric intuition."Learning Tools CD-ROM will be automatically packaged free with every new text purchased from Houghton Mifflin.Section 3.4, now named "Introduction to Eigenvalues," has been broken into two separate sections to provide more emphasis on the early introduction of eigenvalues. The new Section 3.5, "Applications of Determinants," covers the Adjoint of a Matrix; Cramer'' s Rule; and the Area, Volume, and Equations of Lines and Planes.All real data in exercises and examples have been updated to reflect current statistics and information.This edition features more "Writing Exercises to reinforce critical-thinking skills and additional multi-part "True/False Questions in the end-of-section and chapter review exercise sets to encourage students to think about mathematics from different perspectives.Additional exercises involving larger matrices have been added to the exercise sets where appropriate. These exercises will be linked to the data sets found on the web site and the Learning Tools CD-ROM.Eduspace is Houghton Mifflin'' s online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. The Larson "Elementary Linear Algebra course features algorithmic exercises and test bank content in question pools.

Este libro es una introducción básica a las ideas y a las técnicas del álgebra lineal dirigido a estudiantes de primer o segundo curso que ya poseen la teoría del álgebra lineal, la resolución de problemas y las posibles aplicaciones, y todo ello manteniendo el nivel adecuado para los alumnos que comienzan sus estudios.

Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this updated edition presents an introduction to this theory, emphasising those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in algebra, whether they have backgrounds in mathematics, electrical engineering or computer science. Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject.

Texto dirigido a estudiantes de carreras técnicas, aunque también puede ser utilizado por estudiantes de Matemáticas o Física. La estructura del libro es adecuada para este nivel, sin embargo, los lectores mas avanzados pueden prescindir de algunas partes del libro, que sin duda ya conoceran de antemano. Para quienes no tienen esos conocimientos de entrada, el libro posee un amplio capitulo introductorio que permite recuperar la materia. El libro incluye numerosos enunciados de ejercicios y problemas, asi como una seccion formada por problemas de un nivel sencillo-medio, es decir, lo que se suele entender como problemas de examen. Se proporcionan todas las soluciones numericas o cuantitativas de los ejercicios.

Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. Each book of problems is divided into chapters that begin with some notes on notation and prerequisites. The majority of the material is aimed at the student of average ability but there are some more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other algebraic problems. Later books in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained.

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Backlund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.