Libros de Geometría, página 4 de 23

Esta obra es una traducción del libro 'Elements de géométrie descriptive' del autor Frère Joseph, Hermano de las Escuelas Cristianas; Edmon Bhunhes (nombre civil) 1838-1916; superior de la Orden entre 1897 y 1913. Por su claridad y sencillez de exposición, ha sido empleado por muchas generaciones a pesar del inconveniente del idioma y de las escasas dimensiones tanto de la letra como de las figuras. Hay que señalar que no resulta obsoleto, es lo que estamos impartiendo en nuestra Escuelas Técnicas o Superiores. Resulta ser una fuente muy importante de ejercicios diversos.

Quantum information and computation is a rapidly expanding and cross-disciplinary subject. This book gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. After a step-by-step introduction to the quantum bit (qubit) and its main properties, the author presents the necessary background in quantum mechanics. The core of the subject, quantum computation, is illustrated by a detailed treatment of three quantum algorithms: Deutsch, Grover and Shor. The final chapters are devoted to the physical ...

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

Wellman, B. L.Este libro ha sido escrito con objeto de proporcionar a los dibujantes técnicos en particular y a los estudiantes en general un tratado de las cuestiones más importantes de la Geometría descriptiva y sus aplicaciones en las distintas ramas de la Ingenieria.

La geometría descriptiva y el modelado computacional de sistemas 3D han definido líneas separadas hasta hoy en día. La geometría descriptiva constituye un área científica importante que ha servido como base al dibujo tecnico desde finales del siglo XIX hasta la actualidad. El modelado computacional de sistemas 3D esta asociado a las herramientas de Diseño Asistido por Ordenador (CAD). Las tecnologias de la informacion han impulsado estas herramientas, que han desplazado a la geometria descriptiva en la praxis profesional, limitando su uso a la academia. Este libro reclama el cambio de este paradigma, presentando una nueva metodologia denominada "Geometria Descriptiva extendida por Ordenador" (CeDG), implementada en un software de geometria dinamica, que utiliza el cuerpo de conocimiento de la geometria descriptiva y el sistema de representacion diedrico para crear modelos de sistemas 3D. Estos modelos combinan el cuerpo de conocimiento de la geometria descriptiva con las ventajas de los modelos parametricos computacionales. CeDG se presenta como una tecnica complementaria al CAD actual. El libro presenta y aplica esta tecnica sobre un conjunto de problemas de geometria espacial, organizado de acuerdo con el programa de Expresion Grafica del Grado de Ingenieria Electronica, Ro

Andrzej KrasinskiThis unique volume provides a comprehensive survey of our understanding of the Universe based on the exact solutions of the theory of relativity. More precisely, it describes those models that fit with astronomical observations of galaxy clusters, cosmic voids and other key features of our Universe. This authoritative account achieves two important goals. First, it collects all independently derived cosmological solutions since the birth of relativity in 1915, and clearly shows how they are interrelated. Second, it presents a coherent overview of the physical properties of these inhomogeneous models. It demonstrates, for instance, that the formation of voids and the interaction of the cosmic microwave background radiation with matter in the Universe can be explained by exact solutions of the Einstein equations, without the need for approximations. This book will be of particular interest to graduates and researchers in gravity, relativity and theoretical cosmology as well as historians of science.

Este libro es un manual de geometría plana escrito con sensibilidad, sentido y significado; antes de enseñar a medir y calcular, hay que enseñar a ilusionarse, intuir, percibir, sentir y pensar. Incluye laminas anexas y dos tangram, uno rectangular y otro

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students, this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

Este libro presenta una interesante ocasion al estudiante para aplicar los conocimientos adquiridos en el estudio del Algebra Lineal.Se parte de la base que el lector conoce las propiedades más elementales de la GEometria Euclipea y, aunque hemos intentado justificar los pasos previos a las aplicaciones practicas, en cualquier caso los conocimientos ya adquiridos seran de gran utilidad para el estudio de esta materia.

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

Eduard A. Tropp, Viktor Ya Frenkel, Artur D. CherninA vivid account of the life and work of the Russian physicist responsible for the expanding universe theory.Our universe can be described mathematically by a simple model developed in 1922 at Petrograd (St Petersburg) by Alexander Friedmann (18881925), who predicted that the whole universe would expand and evolve with time before there was any observational evidence. He was an outstanding Soviet physicist, and this vivid biography is set in a wide historical background. The book is a window on the school and university years, military service, teaching and research during a seminal period of Soviet history. The authors include unique archival material, such as Friedmanns letters from the Front, as well as contemporary records and reminiscences of colleagues. There is a detailed treatment of his work in Theoretical Cosmology (19221924), set in the context of the organization of Soviet science at the time. The only account of the person who first suggested that our universe is expanding and evolving A fascinating glimpse of the organization of higher education and science in the period 19171924 Includes unpublished archival material and personal letters

This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manual. Mathematicians, scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.

GEOMETRIA BASICA