Libros de Álgebra, página 17 de 28

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.

Obra dirigida a los cursos ¿0¿ o de refuerzo o de nivelación, que se están dando en la universidad española a los nuevos estudiantes de primer curso en todas las titulaciones donde se cursan las Mate

Timothy Edward Ward, Jacqueline StedallEnglish scientist Thomas Harriot (c.1560-1621) left his scientific and mathematical findings in a jumble of manuscript sheets that have not been previously published in a form relevant to his method of investigation. Stedall (history of science, Queen's College, Oxford, UK) includes some 140 translated and annotated of the sheets concerned with the solution and structure of polynomial equations. In her introductory essay she explains the importance of the work to mathematics, discussing which contributions were new and how it relates to the works of such figures as Viente, Warner, and Torporley. Annotation 2003 Book News, Inc., Portland, OR

José; Fernández Bermejo, María Josefa Pérez Blanco

Los ejemplos concretos anteceden a la abstracción con el propósito de facilitar al alumno la comprensión y la adquisición de los conocimientos adaptándose un enfoque basado en vectores en el cual las matrices juegan un papel importante de apoyo. Gracias a la experiencia docente de mas de veinte años de su autor, este libro no solo es facil de entender, sino tambien genera en el alumno un gusto por aprender. Tiene la virtud de contagiar y fomentar en el estudiante la pasion por el algebra lineal. Aqui se le presenta como un punto de entrada a las matematicas que nos conduce y tiene vinculos con muchas ramas de las mismas, incluyendo algebra abstracta, matematicas discretas, calculo, ecuaciones diferenciales, geometria, estadistica, metodos numericos, investigacion de operaciones y sistemas dinamicos.

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.

Un curso de álgebra ofrece una clara y concisa introducción al álgebra. Su objetivo, el gran teorema de Galois sobre resolubilidad de ecuaciones polinómicas por radicales, es uno de los teoremas más fascinantes de las matematicas de todos los tiempos. La primera parte del libro se centra en la teoria de grupos y concluye con una nueva demostracion del teorema fundamental de los grupos abelianos finitos. La segunda parte comienza con la teoria de los anillos, necesaria para desarrollar posteriormente la teoria de Galois. Al final de cada capitulo se proponen una serie de problemas, algunas de cuyas soluciones las podra encontrar el lector en el apendice.

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.

The second edition of Nicholson's best-selling Elementary Linear Algebra retains all of the characteristics that made it a market leader by: enhancing the manner in which it addresses the needs of the users taking linear algebra as a service course, continuing the trend away from the abstract view of the subject toward a more matrix approach, and advancing the use of technology to help with instruction and computation.

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.

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.

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.