Este es un libro producto de la revision bibliografica y la reflexion personal como docentes de geometria euclidiana, surgio la necesidad de plantear una unidad didactica basada en el planteamiento y la resolucion de problemas que promuevan el desarrollo del razonamiento geometrico en estudiantes de educacion superior, especialmente del curso de geometria euclidiana.
Los temas matematicos tratados en estos trabajos no son, por supuesto, nada nuevo para quien haya estudiado con cierta dedicacion la Matematica de bachillerato.
Desde tiempos del cardenal Richelieu, cuando entre las habilidades de un mosquetero se incluia el saber jugar billar, hasta las peliculas como The Hustler y The Colour of Money, el billar siempre ha fascinado por su combinacion de juego y ciencia.
Esta obra presenta un estudio detallado y riguroso, en el que se hace uso de herramientas del álgebra lineal (matrices, valores y vectores propios, el teorema espectral, para matrices simétricas) que permiten identificar y reducir los lugares geométricos representados por la ecuación general de segundo grado en dos variables (las cónicas) y en tres variables (las superficies cuádricas).
Este libro es el primero de la colección "Matemáticas para Ingeniería", que se centra en el aprendizaje y consolidación de los conocimientos matemáticos previos necesarios para todo estudiante de ingeniería de la PUCV.
Geometría diferencial de curvas y superficies es un texto dirigido a estudiantes de educación superior, que estén empezando su ciclo de profesionalización en programas académicos de ciencias e ingenierías, y que tengan conocimientos previos de cálculo en varias variables y álgebra lineal; y se enfoca más en aspectos geométricos que en aspectos de análisis o de topología, con el objetivo de desarrollar en el estudiante su intuición geométrica.
The groundbreaking results of the near past - Donaldson's result on Lef- schetz pencils on symplectic manifolds and Giroux's correspondence be- tween contact structures and open book decompositions - brought a top- ological flavor to global symplectic and contact geometry.
Preface Among the various branches of mathematics, number theory is characterized to a lesser degree by its primary subject ("e;integers"e;) than by a psychologi- cal attitude.
Few people outside of mathematics are aware of the varieties of mathemat- ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others.
The words "e;microdifferential systems in the complex domain"e; refer to seve- ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis.
From the reviews: "e;Such a vast amount of information as this book contains can only be accomplished in 375 pages by a very economical style of writing.
In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin- guished group of researchers with interests spanning a variety of fields related to Erdos' own work.
In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin- guished group of researchers with interests spanning a variety of fields related to Erdos' own work.
Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory.
This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements.
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research.
From the reviews:"e;Theory of Stein Spaces provides a rich variety of methods, results, and motivations - a book with masterful mathematical care and judgement.
These notes, based on lectures delivered in Saint Flour, provide an easy introduction to the authors' 2007 Springer monograph "e;Random Fields and Geometry.
Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra.
Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc.
Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces.
This book grew out of three series of lectures given at the summer school on "e;Modular Forms and their Applications"e; at the Sophus Lie Conference Center in Nordfjordeid in June 2004.
In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory.
In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes.
This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory.
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years.
