Libros de Geometría, página 9 de 23

El libro contiene 129 normas UNE relacionadas con el Dibujo Industrial, presentadas con una calidad de dibujo muy superior a la que habitualmente aparece en las normas originales.

En este tomo se realiza el estudio teórico y práctico del Sistema de Perspectiva Caballera, caso particular de la perspectiva axonometrica estudiada en el tomo III. Contiene gran número de ejercicios

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PENTÁGONOS. Construcciones. Mosaicos. Geometría sagrada constituye una aproximación a los pentágonos regulares e irregulares desde muy diversas perspectivas, tanto matemáticas como de la realidad cotidiana. El lector puede acercarse a este libro desde laPENTÁGONOS. Construcciones. Mosaicos. Geometría sagrada constituye una aproximación a los pentágonos regulares e irregulares desde muy diversas perspectivas, tanto matemáticas como de la realidad cotidiana. El lector puede acercarse a este libro desde la admiracion del sencillo observador de bellas composiciones geometricas o desde el conocimiento de principios geometricos basicos o avanzados.Tras mostrar la presencia del pentagono en diversos campos de la ciencia, el arte, el diseño y la vida real, se examinan las propiedades del numero aureo y su relacion con el pentagono regular y se analizan construcciones de pentagonos concavos y convexos utilizando regla y compas, mediante papiroflexia o por diseccion de otros poligonos.Despues de algunas generalidades sobre la teoria del teselado, se ahonda en la construccion de un amplio abanico de mosaicos realizados con teselas pentagonales. Este sugerente ambito se cierra abordando la optimizacion de los recubrimientos del plano con el pentagono regular como protagonista. Estudio aparte merecen la presencia y relevancia del pentagono regular, del estrellado y de otras formas pentagonales en la geometria sagrada.Complementando los contenidos citados, se dedica un ultimo capitulo a la propuesta y resolucion de cuarenta actividades con distinto grado de dificultad, en las que los lectores encontraran interesantes desafios y seguro motivo de inteligente entretenimiento.PENTAGONOS. Construcciones. Mosaicos. Geometria sagrada es, en definitiva, una puerta de acceso novedosa y amena para cuantos buscan profun dizar en contenidos de geometria clasica, en la misma linea de divulgacion y rigor que vienen desarrollando las autoras en sus obras sobre la geometria y nuestro entorno.

This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some of the main differences between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian geometry that are quite different from those which occur in Riemannian geometry, i.e. for indefinite as opposed to positive definite metrics. Indefinite metrics are important in many diverse physical contexts

Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in different contexts, such as conformal geometry, contact structures, Weyl structures, and almost Hermitian geometry. In this book, we reverse this point of view and instead associate an auxiliary pseudo-Riemannian structure of neutral signature to certain affine connections and use this correspondence to study both geometries. We examine Walker structures, Riemannian extensions, and Kahler--Weyl geometry from this viewpoint. This book is intended to be accessible to mathematicians who are not expert in the subject and to students with a basic grounding in differential geometry. Consequently, the first chapter contains a comprehensive introduction to the basic results and definitions we shall need---proofs are included of many of these results to make it as self-contained as possible. Para-complex geometry plays an important role throughout the book and consequently is treated carefully in various chapters, as is the representation theory underlying various results. It is a feature of this book that, rather than as regarding para-complex geometry as an adjunct to complex geometry, instead, we shall often introduce the para-complex concepts first and only later pass to the complex setting. The second and third chapters are devoted to the study of various kinds of Riemannian extensions that associate to an affine structure on a manifold a corresponding metric of neutral signature on its cotangent bundle. These play a role in various questions involving the spectral geometry of the curvature operator and homogeneous connections on surfaces. The fourth chapter deals with Kahler--Weyl geometry, which lies, in a certain sense, midway between affine geometry and Kahler geometry. Another feature of the book is that we have tried wherever poss

In the theory of minimal submanifolds, Bernstein''s problem and Plateau''s problem are central topics. This important book presents the DouglasRado solution to Plateau''s problem, but the main emphasis is on Bernstein''s problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons'' work for minimal graphic hypersurfaces, and the author''s own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.This new edition contains the author''s recent work on the LawsonOsserman''s problem for higher codimension, and on Chern''s problem for minimal hypersurfaces in the sphere. Both Chern''s problem and LawsonOsserman''s problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.Readership: Researchers and graduate students in differential geometry.

En este libro se tratan las nuevas orientaciones de la LOGSE sobre los currículos de Educación Secundaria, destacando el aspecto dinámico de la matemática y señalando la conveniencia de presentarla de forma abierta, experimental y práctica.

This book provides the mathematical background required for the study of fractal topics. It deals with integration in the modern sense and with mathematical probability. The emphasis is on the particular results that aid the discussion of fractals. The book follows on Edgar''s Measure, Topology, and Fractal Geometry. With exercises throughout the text, it is ideal for beginning graduate students both in the classroom setting and for self-study.

Manual práctico de la materia pensando para las asignaturas relacionadas con la geometría descriptiva y realizado basándose en el planteamiento teórico de problemas y su resolución gráfica. Se parte de la premisa que conocimientos sobre geometría métrica plana o del espacio son imprescindibles para acarrear con éxito la geometría descriptiva.