Fundamentos y problemas resueltos de Teoría cualitativa de ecuaciones diferenciales


Book Description

Las (mal llamadas) clases de problemas constituyen una herramienta fundamental en cualquier disciplina científica. Tradicionalmente, estas clases cumplen el objetivo de complementar aspectos más o menos difíciles de la disciplina en cuestión. Sin embargo, deberían entenderse más como un entrenamiento que capacite al estudiante para resolver cualquier problema (en sentido amplio) que se le pueda plantear en su vida profesional. Con este espíritu se concibe esta colección de “Problemas resueltos” que Ediciones Paraninfo pone a disposición de profesores y estudiantes de una gran variedad de disciplinas académicas. El presente libro no es una mera guía para aprender a resolver ecuaciones diferenciales de manera mecánica. Se proporcionan los fundamentos básicos de análisis matemático y topología para poder comprender los conceptos y demostraciones de los teoremas más vinculados a esta rama de las matemáticas y, además, se incluye un estudio detallado sobre los tipos clásicos y elementales de ecuaciones diferenciales ordinarias y sus correspondientes métodos de integración. No obstante, la obra va más allá y proporciona técnicas detalladas sobre cómo abordar problemas cuando las ecuaciones objeto de estudio no pueden resolverse, esto es, ofrece un estudio cualitativo de la teoría. Con este fin, resultados como los teoremas de Cauchy-Lipschitz, Peano, Kneser, Kamke, Hartman-Grobman, Poincaré-Bendixson, Lyapunov (entre muchos otros) son presentados con las correspondientes rigurosas demostraciones, ejemplos ilustrativos y más de un centenar de problemas resueltos en detalle para, así, hacer la materia más accesible al estudiante. Este libro será de utilidad tanto para estudios de grado en matemáticas puras, como de física o ingeniería, dado su alto contenido práctico y aplicado, a la vez que teórico y riguroso.




Lineability


Book Description

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for




Principles of Foundation Engineering


Book Description

Master the core concepts and applications of foundation analysis and design with Das/Sivakugan’s best-selling PRINCIPLES OF FOUNDATION ENGINEERING, 9th Edition. Written specifically for those studying undergraduate civil engineering, this invaluable resource by renowned authors in the field of geotechnical engineering provides an ideal balance of today's most current research and practical field applications. A wealth of worked-out examples and figures clearly illustrate the work of today's civil engineer, while timely information and insights help readers develop the critical skills needed to properly apply theories and analysis while evaluating soils and foundation design. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.




European Psychiatric/Mental Health Nursing in the 21st Century


Book Description

This groundbreaking first volume of the Series has a number of features that set it apart from other books on this subject: Firstly, it focuses on interpersonal, humanistic and ecological views and approaches to P/MH nursing. Secondly, it highlights patient/client-centered approaches and mental-health-service user involvement. Lastly, it is a genuinely European P/MH nursing textbook – the first of its kind – largely written by mental health scholars from Europe, although it also includes contributions from North America and Australia/New Zealand. Focusing on clinical/practical issues, theory and empirical findings, it adopts an evidence-based or evidence-informed approach. Each contribution presents the state-of-the-art of P/MH nursing in Europe so that it can be transferred to and implemented by P/MH nurses and the broader mental health care community around the globe. As such, it will be the first genuinely 21st century European Psychiatric Mental Health Nursing book.




The Properties of Petroleum Fluids


Book Description

This edition expands its scope as a conveniently arranged petroleum fluids reference book for the practicing petroleum engineer and an authoritative college text.




Paradoxes of the Infinite (Routledge Revivals)


Book Description

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.




Flip Your Classroom


Book Description

Learn what a flipped classroom is and why it works, and get the information you need to flip a classroom. You’ll also learn the flipped mastery model, where students learn at their own pace, furthering opportunities for personalized education. This simple concept is easily replicable in any classroom, doesn’t cost much to implement, and helps foster self-directed learning. Once you flip, you won’t want to go back!




Naive Set Theory


Book Description

Written by a prominent analyst Paul. R. Halmos, this book is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation. This emended edition is with completely new typesetting and corrections. Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image. The free PDF file available on the publisher's website www.bowwowpress.org




Fundamentals of Reservoir Engineering


Book Description

"This book is fast becoming the standard text in its field", wrote a reviewer in the Journal of Canadian Petroleum Technology soon after the first appearance of Dake's book. This prediction quickly came true: it has become the standard text and has been reprinted many times. The author's aim - to provide students and teachers with a coherent account of the basic physics of reservoir engineering - has been most successfully achieved. No prior knowledge of reservoir engineering is necessary. The material is dealt with in a concise, unified and applied manner, and only the simplest and most straightforward mathematical techniques are used. This low-priced paperback edition will continue to be an invaluable teaching aid for years to come.




The Ambient Metric


Book Description

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory.