Libros UCLV { BETA }

Álgebra

Curso de Álgebra superior que cubre diversos temas: la teoría de grupos, polinomios, anillos, la teoría de Galois, la teoría de divisibilidad, los cuerpos, entre otras.

This book covers the aspects of linear algebra that are included in most advanced undergraduate texts. All the usual topics from complex vectors spaces, complex inner products, The Spectral theorem for normal perators, dual spaces, quotient spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form are explained. A chapter on determinants has been included as the last chapter, but they are not used in the text as a whole.

MATLAB

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Symbolic Algebra and Calculus Tools introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic variables and functions, you will learn how to solve equations in MATLAB, both symbolically and numerically, and how to simplify the results. Extensive coverage of polynomial solutions, inequalities and systems of equations are covered in detail. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful symbolic manipulator which enables you to factorize, expand and simplify complex algebraic expressions over all common fields (including over finite fields and algebraic field extensions of the rational numbers).

Álgebra

El éxito de la Teoría de Grupos es impresionante y extraordinario. Es quizás, la rama más poderosa e in?uyente de toda la Matemática. In?uye en casi todas las disciplinas cientí?cas, artísticas y en la propia Matemática de una manera fundamental. Lo que realmente se ha hecho en la Teoría de Grupos, es extraer lo esencial de diversas situaciones donde ocurre. Dado un conjunto no vacío, de?nimos una operación binaria en él, tal que cumpla ciertas axiomas, es decir, que posea una estructura, (la estructura de grupo). El concepto de estructura y los relacionados con éste, como el de isomor?smo, juegan un papel decisivo en la Matemática actual.