Libros de Álgebra, página 9 de 28

Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes.

This book presents a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.

Fruto de la experiencia docente, con alumnos universitarios de Matemáticas e Ingeniería Informática, esta obra ofrece un texto de calidad orientado al lector experimentado y, a la vez, introduciendo pequeñas modificaciones al fondo y forma de lo que fue la primera edición, asequible al estudiante novel, perdiendo para ellos en lenguaje computacional pero ganando en comprensión del procedimiento que ejecuta el algoritmo. Cada sección incluye una amplia lista de ejercicios. Temas de los cuatro capítulos: matrices y sistemas, semejanza de matrices, espacios vectoriales y espacios métricos.

This is the fourth edition of Serge Lang''s Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.

Aquest llibre és una introducció a la topologia algebraica principalment basada en la teoria de l'homologia singular, encara que, per tal d'accentuar els aspectes geomètrics d'aquesta matèria, també