Libros de Geometría, página 3 de 23

La geometría más dura, la de probar que "tales puntos están alineados" o que "tales rectas son concurrentes", no es la única geometría interesante. Existe otra geometría mucho más cercana, mucho más amable, que reúne todas las características de conjeturar y deducir que debería tener toda actividad matemática. Ésta es la geometría que se refleja en los problemas que se presentan en este libro. En él los aficionados a las matemáticas y los estudiantes de los últimos cursos de ESO y de bachillerato podrán ponerse a prueba y enfrentarse a los problemas de geometría más interesantes. Y como, según Pushkin, la geometría exige tanta inspiración como la poesía, si la primera fallara, podrán analizar la solución que proponemos.

Paul M. BellanThis rigorous explanation of plasmas is relevant to diverse plasma applications such as controlled fusion, astrophysical plasmas, solar physics, magnetospheric plasmas, and plasma thrusters. More thorough than previous texts, it exploits new powerful mathematical techniques to develop deeper insights into plasma behavior. After developing the basic plasma equations from first principles, the book explores single particle motion with particular attention to adiabatic invariance. The author then examines types of plasma waves and the issue of Landau damping. Magnetohydrodynamic equilibrium and stability are tackled with emphasis on the topological concepts of magnetic helicity and self-organization. Advanced topics follow, including magnetic reconnection, nonlinear waves, and the Fokker-Planck treatment of collisions. The book concludes by discussing unconventional plasmas such as non-neutral and dusty plasmas. Written for beginning graduate students and advanced undergraduates, this text emphasizes the fundamental principles that apply across many different contexts. Applicable to many different plasma contexts Uses mathematical tools to obtain deeper insights into understanding of behaviour in complex, realistic geometries Contains new, modern topics such as self-organisation, topology of magnetic fields, non-neutral plasmas and dusty plasmas

A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.

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.

La colección "No te compliques con..." busca mediante divertidas actividades y pasatiempos lograr que el aprendizaje de las matemáticas no sea una actividad tediosa o aburrida. De esta manera la enseñanza de la geometría, las gráficas y las estadísticas, los decimales, los porcentajes y las fracciones tendrán en esta colección un interesante material de apoyo donde a través de experimentos y actividades de juego sea posible aprender los conceptos básicos. En esta obra, dedicada a la geometría, dividida en siete capítulos, será posible explorar diversos temas como son, los ángulos, triángulos y cuadriláteros. Aprender mediante juegos y actividades divertidas a medir el área y el diámetro de un círculo, calcular la altura de un objeto a partir de su sombra, encontrar distancias en línea recta, estimar el área de cualquier espacio y mucho más.

Este libro pretende ser una iniciación accesible al estudio de las Variedades Diferenciables. El texto está diseñado para atender a los alumnos de una asignatura determinada: el contenido troncal de Geomatria Diferencial de Variedades del segundo ciclo de los planes de estudios de Ciencias Matematicas. Ese contenido es esencialmente el siquiente: (1) Variedades y Aplicaciones. (2) Campos Tangentes y Flujos. (3) Formas Diferenciales. (4) Integracion y Volumen.

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

Motivaciones geométricas llevaron a Sophus Lie, matemático noruego, a crear y desarrollar, a través del estudio de las simetrías de las ecuaciones en derivadas parciales, la teoría de grupos que hoy lleva su nombre y que es ampliamente utilizada en fisica y en muchas ramas de las matematicas. La importancia de las simetrias radica en que son suficientes para reducir sustancialmente la resolucion de dichas ecuaciones diferenciales, algo en lo que Lie cayo en cuenta trabajando con las superficies de Plucker.Jose Luis Guijarro Regalado se licencio en matematicas en la UAM y obtuvo el Diploma de Estudios Avanzados en la UCM por su trabajo sobre la clasificacion de subvariedades Cen geometria de Lie y geometria de Plucker. Actualmente, es profesor asociado en la Facultad de Matematicas de la UCM.

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

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.

G. D. CoughlanThe third edition of this well-received book is a readable introduction to the world of particle physics. It bridges the gap between traditional textbooks on the subject and popular accounts that assume little or no background knowledge. Carefully revised and updated, this new edition covers all of the important concepts in our modern understanding of particle physics. The theoretical development of the subject is traced from the foundations of quantum mechanics and relativity through to the most recent particle discoveries and the formulation of modern string theory. It includes a full description of the prospects for the Large Hadron Collider at CERN, which will allow many key ideas to be tested. The book is intended for anyone with a background in the physical sciences who wishes to learn more about particle physics. It is also valuable to students of physics wishing to gain an introductory overview of the subject.

Vigesimoquinta edición de un libro de referencia escrtio en 1957-1958 con instrumentos de dibujo y las letras a mano con plumilla. Esta edición ya ha sido revisada y realizada por ordenador.

Este libro es el segundo de una colección que recoge los contenidos de la expresión gráfica de la ingeniería, tras el tomo primero que estudiaba la representación diédrica.

El propósito de este libro es ofrecer al profesorado y alumnado algunos aspectos de Geometría plana, tratados de forma asequible y fundamentalmente práctica. El profesorado encontrará, en los contenidos teoricos y en las propuestas de ejercicios practicos, un tratamiento no tradicional del estudio de poligonos.

Grassa Miranda, Víctor; Grassa Miranda, PabloLa irrupción de la tecnología 3D ha supuesto un duro varapalo a la enseñanza lineal de los contenidos disciplinares sobre representación gráfico-geométrica. La inconsistencia entre los protocolos conceptuales de la gramatica proyectiva y la competencia espacial reclama una reinterpretacion global de objetivos didacticos.

János Bolyai es considerado por muchos como el Copérnico de la geometría, ya que puso fin a veintidós siglos de investigación infructuosa sobre el quinto postulado de Euclides o axioma de las paralelas. Desde entonces geometria y realidad pueden ser cosas

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.