Libros de Matemáticas, página 36 de 471

The present monography is dedicated to a fashionable trend in nonlinear analysis --- the theories of blow-up of solutions for final time. In this book nonlinear Sobolev type equations are systematically studied. The book will be interesting both to experts in the field of nonlinear analysis and to students and post-graduate students of the corresponding specialties.Part 1. Wave EquationsPart 2. Nonlocal EquationsPart 3. Wave and Nonlocal EquationsAppendixIndexAppendixBibliography

Critical phenomena is one of the most exciting areas of modern physics. This book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to modern topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of today''s physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics. Has a straightforward and economic style of presentation allowing readers to quickly get to the essence of the material Includes a modern selection of topics including several not found in other books Contains fully solved and original problems

This introduction to dynamical systems theory guides readers through theory via example and the graphical MATLAB interface; the SIMULINK accessory is used to simulate real-world dynamical processes. Examples included are from mechanics, electrical circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science and neural networks. The book contains over 330 illustrations, 300 examples, and exercises with solutions.

Revised to meet the needs of the wide range of students beginning engineering courses, the fifth edition of this text has an extended "Foundation" section including new chapters on graphs, trigonometry, and binomial series and functions. As an introductory mathematics course for students on science and engineering degrees and pre-degree courses, it is suitable for both classroom use and self study. The new CD-ROM included with the book provides stepped hints, worked solutions and immediate feedback on exercises and problems. It has a user friendly interface and intuitive design. A networkable version is also available with a channelling of student progress through to the tutor.

Este libro es una revisión de la sexta edición, publicada en USA en 1996. Esta edición, al igual que las anteriores, ha servido como libro de texto en cursos de introducción a la teoría y aplicaciones de las funciones de variable compleja. Esta nueva edición mantiene el contenido básico y el estilo de las que la precedieron. En esta edición, los cambios más relevantes aparecen en los nueve primeros capítulos, que constituyen el núcleo de un curso básico. Los tres capítulos restantes se dedican a algunas aplicaciones físicas, que admiten selección a gusto de cada cual y pueden ser estudiadas como complemento para el estudiante interesado.

Este texto se ha escrito pensando en los alumnos que acceden a un primer curso universitario en el que el Cálculo Infinitesimal tenga un importante peso específico, como los de Ciencias Matemáticas y Físicas, Ingenierías, Ciencias Económicas y Empresariales, Informática y Arquitectura. Las actuales tendencias en los planes de estudio hacen aconsejable un curso como el que aquí se ofrece, en el que se estudia el Análisis Matemático para funciones en una sola variable: sucesiones de números reales; convergencia; funciones continuas; derivadas; integrales; series numéricas y de funciones. En el estudio de estas materias, que se aborda con el debido rigor, se huye de formalismos innecesarios. Se destacan y subrayan los asuntos básicos y troncales; todo lo demás se dispone a su alrededor como complementos y ayudas que se le brindan al lector, entre las que sobresalen sus abundantes ejemplos y ejercicios. Se ofrecen también numerosas colecciones de problemas con soluciones.

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Obra dirigida a ingenieros, científicos y expertos en probabilidad, proporciona un enfoque para diseñar, conducir y analizar experimentos que optimicen la calidad y el desempeño de productos. Se analizan los diseños factoriales y factoriales fraccionados, presenta las nuevas tecnicas de analisis como el modelo lineal generalizado. Asimismo, ofrece un estudio amplio de los experimentos con factores aleatorios, la metodologia de superficies de respuesta, los experimentos con mezclas y los metodos para estudios de robustez de procesos. Incluye el apoyo de herramientas de software como Design Expert y Minitab referenciadas en el texto, ademas de contar con pagina Web con recursos adicionales a estudiantes y profesores.

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.

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