Libros de Geometría, página 2 de 23

Este tratado, es una ayuda práctica a la aplicación, acotación e interpretación de las normas de TOLERANCIAS GEOMETRICAS - GD&T.En el se huye de explicaciones excesivamente teóricas sustituyéndol

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

Se muestra la decoración en mosaicos, celosías y frisos de los palacios de la Alhambra, llamando la atención sobre los aspectos matemáticos de los diseños de los arabescos, como motivación para estudiar conceptos basicos de Geometria, describir los grupos de simetrias de arabescos e identificarlos como grupos cristalograficos.

Este libro está concebido como una exploración de diversas situaciones desde una perspectiva matemática. Esas situaciones tienen en común algunas cosas: pueden plantearse y manipularse con sencillez.

El propósito de este libro es despertar la curiosidad del lector más que enseñarle geometría. Lo que pretende es hacerle ver que hay una manera de acercarse a ella diferente de la que se emplea en los libros escolares y que, cuando se hace asi, hasta los teoremas mas serios toman otro sentido y se convierten en algo sencillo, divertido y sorprendente. Con esa premisa, se ha organizado el texto en cinco capitulos en los que se recogen otras tantas formas de ver la geometria, al tiempo que se pasa revista a algunos problemas clasicos ya resueltos y a otros que estan aun sin respuesta.Jose Antonio Perez Ruy-Diaz es Doctor Ingeniero de Caminos y Licenciado en Matematicas e imparte docencia en la Universidad Politecnica de Madrid, de la que es Profesor Titular en el area de Ciencias de la Computacion e Inteligencia Artificial.

Cuando se diseña un libro con intencionalidad didáctica, han de delimitarse previamente las necesidades y características de los alumnos a los que el profesor-lector dirigirá su actuación docente.

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.

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many-particle theory.

Alexander Altland, Ben SimonsPrimer, including problems and solutions, for graduate level courses on theoretical quantum condensed matter physics.

Hoy era el día en que Bill y Jose habían acordado verse para buscar aspectos geométricos en la calle. Su objetivo era considerar al entorno natural como si fuera un laboratorio de matemáticas. Es decir, pretendian encontrar circunstancias que permitiesen generar actividades relacionadas con la geometria. Jose:Hoy nos habiamos propuesto fijarnos en aspectos geometricos pero no importa que surjan otros temas matematicos, todos seran bienvenidos. Ademas, en tu tela de araña aparecen terminos relacionados con geometria porque hablas de radios, se distinguen circunferencias concentricas, diametros...Bill:Tambien se pueden generar figuras geometricas de diferente numero de lados uniendo entre si los puntos de corte de los radios con la circunferencia exterior, de forma sucesiva. Jose:Si se unen esos puntos entre si con segmentos, enlazando cada dos de ellos de manera sucesiva, se forma un hexagono; si se hace de tres en tres, un cuadrado; de cuatro en cuatro, un triangulo...Bill:El proceso se puede repetir en las diferentes circunferencias concentricas creando formas concentricas...