Elements of Abstract and Linear Algebra - Edwin H. Connell

This is a foundational textbook on abstract algebra with emphasis on linear algebra. You may download parts of the book or the entire textbook. 

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Álgebra Moderna - Herstein, I. N.

La presente obra es una introducción a la llamada álgebra abstracta y en ella se exponen y desarrollan algebraicos más importantes, como son los grupos, los anillos, los espacios vectoriales y los campos. En el pasado siglo XX pudo ya hacerse evidente el poder de los modelos abstractos para describir una gran variedad de situaciones en las diversas ciencias, es decir, para describir la realidad. La matemática abstracta ha facilitado encontrar interrelaciones entre áreas en las que nunca se habia pensado antes que hubiera alguna conexión. El álgebra que ha surgido como resultado de todo esto es actualmente una de las áreas más importantes de la investigación en matemáticas, pues es un hilo unificador que entrelaza a casi toda esta ciecia: la geometría, la teoría de números, el análisis y la topología, incluso la matemática aplicada. En la mayor parte de los capítulos el autor hace ver el significado de los resultados generales mediante su aplicación a problemas particulares. La obra contiene una gran cantidad de problemas y no se espera de un alumno que los resulva todos en un curso normal; varios de ellos se incluyen como introducción a otros temas o para que el estudiante desarrolle nuevas ideas al intentar solucionarlos. Contenido: Nociones preliminares. Teoría de grupos. Teoría de anillos. Espacios vectoriales y módulos. Campos. Transformaciones lineales. Tópicos selectos. Índice analítico.

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Algebra Abstract - Robert B. Ash

This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and noncommutative and homological algebra.

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Applications of Abstract Algebra With Maple - R. Klima, N. Sigmon, E. Stitzinger

The mathematical concepts of abstract algebra may indeed be considered abstract, but its utility is quite concrete and continues to grow in importance. Unfortunately, the practical application of abstract algebra typically involves extensive and cumbersome calculations-often frustrating even the most dedicated attempts to appreciate and employ its intricacies. Now, however, sophisticated mathematical software packages help obviate the need for heavy number-crunching and make fields dependent on the algebra more interesting-and more accessible.

Applications of Abstract Algebra with Maple opens the door to cryptography, coding, Polya counting theory, and the many other areas dependent on abstract algebra. The authors have carefully integrated Maple V throughout the text, enabling readers to see realistic examples of the topics discussed without struggling with the computations. But the book stands well on its own if the reader does not have access to the software.

The text includes a first-chapter review of the mathematics required-groups, rings, and finite fields-and a Maple tutorial in the appendix along with detailed treatments of coding, cryptography, and Polya theory applications.

Applications of Abstract Algebra with Maple packs a double punch for those interested in beginning-or advancing-careers related to the applications of abstract algebra. It not only provides an in-depth introduction to the fascinating, real-world problems to which the algebra applies, it offers readers the opportunity to gain experience in using one of the leading and most respected mathematical software packages available.

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Álgebra - Amílcar Pacheco

Uma introdução à estruturas algébricas, com uma pequena revisão sobre números inteiros, congruência, relação de equivalência, etc.

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Álgebra Moderna - Hygino H. Domingues

Inteiramente reescrita e ampliada, a presente edição de Álgebra Moderna, dos professores Hygino H. Domingues e Gelson Iezzi, ajusta-se mais adequadamente às atuais tendências do ensino universitário de matemática. A linguagem é menos simbólica e formal que a das edições anteriores e o conteúdo é muito mais rico em exemplos e ilustrações.

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