Libros de Geometría, página 11 de 23

Este manual está pensado como introducción a la teoría de homología dentro de la licenciatura de Matemáticas. Para ello se presentan las nociones elementales de homología simplicial que llevan a las aplicaciones geométricas más conocidas: teoremas de punto fijo, teoría del grado, teoremas de separación, etc. Escogiendo la versión simplicial de la homología, y su correspondiente lenguaje relativo a poliedros y complejos simpliciales, se centra el interés en el substrato geométrico de la homología así como en su papel histórico dentro de la Topología Algebraica. Igualmente, desde el punto de vista del cálculo efectivo se entiende que la homología simplicial es más cercana a la intuición y más manejable por el estudiante.

El nivell daquest text és el dun primer curs duniversitat o descola tècnica i les matèries que shi tracten són la geometria afí, la geometria euclidiana, la geometria projectiva i les còniques i quàd

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A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.

Título: Nociones de Geometría y Dibujo Lineal Autor: Remigio de Pablo y Amutio ISBN/ISSN: 978-84-7719-853-6 Depósito legal: Dimensiones: 16x21cm Nº de páginas: Pág varias Año: 2000 Colección:

La necesidad de representar con claridad y sencillez formas y supeficies de dimensiones verticales mucho más pequeñas que las horizontales, motivó la aparación del sistema acotado, como caso particular del diedrico, sustituyendo la proyeccion vertical o alzado del punto, por su altura o ''cota'' respecto al plano horizontal de proyeccion o de referencia.

Discípulo aventajado de Gauss, Riemann fue un matemático excepcional que marcó un antes y un después. Su particular visión de las matemáticas, unida a su interés por la física, le llevó a adentrarse en terrenos desconocidos en su tiempo. Guiado por su intuición y un perfeccionismo extremo, Riemann marcó el camino a seguir a muchos matemáticos. Hoy en día, conceptos como superficie de Riemann, variedades riemannianas, género de una superficie o integral son parte fundamental en los estudios de matemáticas, pero no debemos olvidar que no fue siempre así.

Título: Tratado de Geometría elemental Autor: Juan Cortazar ISBN/ISSN: 978-84-7719-823-9 Depósito legal: Dimensiones: 16x21cm Nº de páginas: Pág varias Año: 2000 Colección:

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.

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

Partha GhoseTechnological advances have made it possible to perform experiments, once considered to be purely gedanken, which test the counterintuitive and bizarre consequences of quantum theory. This book provides simple accounts of these experiments and an understanding of what they aim to prove and why this is important. After introducing the main theoretical concepts and problems with the foundations of quantum mechanics, early chapters discuss experiments in the areas of wave-particle duality, cavity quantum electrodynamics and quantum non-demolition measurement. The text then examines investigation of certain predictions including the Aharanov-Bohm effect, before tackling the problem of macroscopic quantum coherence. Later chapters consider methods of testing the quantum Zeno paradox, collapse, macroscopic quantum jumps, tunnelling times and Einstein-Bell non-locality. Introductions to the theory behind types of measuring devices such as micromasers and those based on the concept of quantum non-demolition are also given. Detailed references are included. Up to date and accessible Suitable as an introduction for graduate students

Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.