Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve such a knowledge. Still, this is the goal of many other texts in advanced analysis; and then, what would be a good reason to read or to consult this book? In order to answer this question, let us introduce the three Authors. Alberto Ferrero got his degree in Mathematics in 2000 and presently he is researcher in Mathematical Analysis at the Universit`a del Piemonte Orientale. Filippo Gazzola got his degree in Mathematics in 1987 and he is now full professor in Mathematical Analysis at the Politecnico di Milano. Maurizio Zanotti got his degree in Mechanical Engineering in 2004 and presently he is structural and machine designer and lecturer professor in Mathematical Analysis at the Politecnico di Milano. The three Authors, for the variety of their skills, decided to join their expertises to write this book. One of the reasons that should encourage its reading is that the presentation turns out to be a reasonable compromise among the essential mathematical rigor, the importance of the applications and the clearness, which is necessary to make the reference work pleasant to the readers, even to the inexperienced ones. The range of treated topics is quite wide and covers the main basic notions of the scientific research which is based upon mathematical models. We start from vector spaces and Lebesgue integral to reach the frontier of theoretical research such as the study of critical exponents for semilinear elliptic equations and recent problems in fluid dynamics. This long route passes through the theory of Banach and Hilbert spaces, Sobolev spaces, differential equations, Fourier and Laplace transforms, before which we recall some appropriate tools of Complex Analysis. We give all the proofs that have some didactic or applicative interest, while we omit the ones which are too technical or require too high level knowledge. This book has the ambitious purpose to be useful to a broad variety of readers. The first possible beneficiaries are of course the second or third year students of a scientific course of degree: in what follows they will find the topics that are necessary to approach more advanced studies in Mathematics and in other fields, especially Physics and Engineering. This text could be also useful to graduate students who want to start a Ph.D. course: indeed it contains the matter of a multidisciplinary Ph.D. course given by Filippo Gazzola for several years at Politecnico di Milano. Finally, this book could be addressed also to the ones who have already left education far-back but occasionally need to use mathematical tools: we refer both to university professors and their research, and to professionals and designers who want to model a certain phenomenon, but also to the nostalgics of the good old days when they were students. ALBERTO FERRERO got his degree in Mathematics in 2000 and presently he is researcher in Mathematical Analysis at the Università del Piemonte Orientale. FILIPPO GAZZOLA got his degree in Mathematics in 1987 and he is now full professor in Mathematical Analysis at the Politecnico di Milano. MAURIZIO ZANOTTI got his degree in Mechanical Engineering in 2004 and presently he is structural and machine designer and lecturer professor in Mathematical Analysis at the Politecnico di Milano.
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An essential guide for anyone wanting to realize a supremely comfortable, healthy, and durable home with exceptionally low energy costs, this book brings together current thinking and best practice in Passivhaus design. This type of design focuses on getting the building fabric right, to achieve ultralow energy consumption in the most cost-effective manner. The approach is relevant to a wide range of building types and climates. Whether you are building an extension, retrofitting your house or starting from scratch, and whether you are new to low-energy design or already have some experience, this book will help you navigate around the potential pitfalls and misconceptions. The book includes a clear explanation of the underlying building physics and terminology; detailed information on key elements of Passivhaus: avoiding air leakage, designing out thermal (cold) bridges, moisture management, and ventilation strategy. It offers practical advice on setting up a project, including developing a motivated project team, and a discussion of economic considerations and the policy context in the UK. As pressure on global resources increases and energy prices continue to rise, the Passovhaus approach, proven over 20 years, meets the challenge of ultralow-energy building for the future.
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This textbook provides an accessible and self-contained description of the Galerkin finite element method for the two important models of continuum mechanics, transient heat conduction and elastodynamics, from formulation of the governing equations to implementation in Matlab. The coverage follows an intuitive approach: the salient features of each initial boundary value problem are reviewed, including a thorough description of the boundary conditions; the method of weighted residuals is applied to derive the discrete equations; and clear examples are introduced to illustrate the method.
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Article/eBook Full Name: The Finite Element Method for Boundary Value Problems
Author(s): Karan S. Surana , J. N. Reddy
Edition: First edition
Publish Date: November 17, 2016
Published By: CRC Press
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Robin Barry's Construction of Buildings was first published in 1958 in 5 volumes, rapidly becoming a standard text on construction. In its current 2 volume format Barry remains hugely popular with both students and lecturers of construction and related disciplines.
The third edition of Barry’s Introduction to Construction of Buildings provides the basic material you will need to understand the construction process for the majority of low rise buildings. Construction technology is explained and illustrated through the key functional and performance requirements for the main elements common to all buildings. With a stronger focus on building efficiency and meeting the challenges posed by limiting the environmental impact of buildings, you will find the text fully up to date with the latest building regulations and construction technologies. Particular attention has been paid to the careful integration of all topics, helping you to link concepts and follow related material.
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Handbook of Measurement in Science and Engineering, Two Volume Set
Author(s)/Editor(s): LinShu Liu and Antonio Ballada | Size: 741 MB | Format:PDF | Quality:Unspecified | Publisher: CRC PRESS | Year: 2013 | pages: 1906 | ISBN: 192689586X
he most comprehensive, up-to-date reference set on engineering measurements covering all major engineering disciplines, Handbook of Engineering Measurements, Set provides a multidisciplinary resource of engineering measurement theory, necessary tools, techniques of measurement and analysis, and applications. Encyclopedic in scope, beyond anything currently available on the market, Volume 1 covers civil and environmental engineering, mechanical and biomedical engineering, and industrial engineering; Volume II covers and spans materials properties and testing, instrumentation, and measurement standards.
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This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.
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Composite materials are engineered from two or more constituents with significantly altered physical or chemical properties within the finished structure. Due to their special mechanical and physical properties they have the potential to replace conventional materials. This book, written by experts from all over the world, presents fundamentals and recent advances on ceramic matrix composites.
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Shallow Foundations: Discussions and Problem Solving is written for civil engineers and all civil engineering students taking courses in soil mechanics and geotechnical engineering. It covers the analysis, design and application of shallow foundations, with a primary focus on the interface between the structural elements and underlying soil. Topics such as site investigation, foundation contact pressure and settlement, vertical stresses in soils due to foundation loads, settlements, and bearing capacity are all fully covered, and a chapter is devoted to the structural design of different types of shallow foundations. It provides essential data for the design of shallow foundations under normal circumstances, considering both the American (ACI) and the European (EN) Standard Building Code Requirements, with each chapter being a concise discussion of critical and practical aspects. Applications are highlighted through solving a relatively large number of realistic problems. A total of 180 problems, all with full solutions, consolidate understanding of the fundamental principles and illustrate the design and application of shallow foundations.
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