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Books > Science & Mathematics > Physics > General
This book consists of selected peer-reviewed papers presented at
the NAFEMS India Regional Conference (NIRC 2018). It covers current
topics related to advances in computer aided design and
manufacturing. The book focuses on the latest developments in
engineering modelling and simulation, and its application to
various complex engineering systems. Finite element method/finite
element analysis, computational fluid dynamics, and additive
manufacturing are some of the key topics covered in this book. The
book aims to provide a better understanding of contemporary product
design and analyses, and hence will be useful for researchers,
academicians, and professionals.
This book highlights the remarkable importance of special
functions, operational calculus, and variational methods. A
considerable portion of the book is dedicated to second-order
partial differential equations, as they offer mathematical models
of various phenomena in physics and engineering. The book provides
students and researchers with essential help on key mathematical
topics, which are applied to a range of practical problems. These
topics were chosen because, after teaching university courses for
many years, the authors have found them to be essential, especially
in the contexts of technology, engineering and economics. Given the
diversity topics included in the book, the presentation of each is
limited to the basic notions and results of the respective
mathematical domain. Chapter 1 is devoted to complex functions.
Here, much emphasis is placed on the theory of holomorphic
functions, which facilitate the understanding of the role that the
theory of functions of a complex variable plays in mathematical
physics, especially in the modeling of plane problems. In addition,
the book demonstrates the importance of the theories of special
functions, operational calculus, and variational calculus. In the
last chapter, the authors discuss the basic elements of one of the
most modern areas of mathematics, namely the theory of optimal
control.
You are reading the word "now" right now. But what does that mean?
"Now" has bedeviled philosophers, priests, and modern-day
physicists from Augustine to Einstein and beyond. In Now, eminent
physicist Richard A. Muller takes up the challenge. He begins with
remarkably clear explanations of relativity, entropy, entanglement,
the Big Bang, and more, setting the stage for his own revolutionary
theory of time, one that makes testable predictions. Muller's
monumental work will spark major debate about the most fundamental
assumptions of our universe, and may crack one of physics'
longest-standing enigmas.
Frank Arntzenius presents a series of radical new ideas about the
structure of space and time. Space, Time, and Stuff is an attempt
to show that physics is geometry: that the fundamental structure of
the physical world is purely geometrical structure. Along the way,
he examines some non-standard views about the structure of
spacetime and its inhabitants, including the idea that space and
time are pointless, the idea that quantum mechanics is a completely
local theory, the idea that antiparticles are just particles
travelling back in time, and the idea that time has no structure
whatsoever. The main thrust of the book, however, is that there are
good reasons to believe that spaces other than spacetime exist, and
that it is the existence of these additional spaces that allows one
to reduce all of physics to geometry. Philosophy, and metaphysics
in particular, plays an important role here: the assumption that
the fundamental laws of physics are simple in terms of the
fundamental physical properties and relations is pivotal. Without
this assumption one gets nowhere. That is to say, when trying to
extract the fundamental structure of the world from theories of
physics one ignores philosophy at one's peril!
This book treats dynamic stability of structures under
nonconservative forces. it is not a mathematics-based, but rather a
dynamics-phenomena-oriented monograph, written with a full
experimental background. Starting with fundamentals on stability of
columns under nonconservative forces, it then deals with the
divergence of Euler's column under a dead (conservative) loading
from a view point of dynamic stability. Three experiments with
cantilevered columns under a rocket-based follower force are
described to present the verifiability of nonconservative problems
of structural stability. Dynamic stability of columns under
pulsating forces is discussed through analog experiments, and by
analytical and experimental procedures together with related
theories. Throughout the volume the authors retain a good balance
between theory and experiments on dynamic stability of columns
under nonconservative loading, offering a new window to dynamic
stability of structures, promoting student- and scientist-friendly
experiments.
Like the first Abel Symposium, held in 2004, the Abel Symposium
2015 focused on operator algebras. It is interesting to see the
remarkable advances that have been made in operator algebras over
these years, which strikingly illustrate the vitality of the field.
A total of 26 talks were given at the symposium on a variety of
themes, all highlighting the richness of the subject. The field of
operator algebras was created in the 1930s and was motivated by
problems of quantum mechanics. It has subsequently developed well
beyond its initial intended realm of applications and expanded into
such diverse areas of mathematics as representation theory,
dynamical systems, differential geometry, number theory and quantum
algebra. One branch, known as "noncommutative geometry", has become
a powerful tool for studying phenomena that are beyond the reach of
classical analysis. This volume includes research papers that
present new results, surveys that discuss the development of a
specific line of research, and articles that offer a combination of
survey and research. These contributions provide a multifaceted
portrait of beautiful mathematics that both newcomers to the field
of operator algebras and seasoned researchers alike will
appreciate.
Discusses the latest results in academia and industry on green
composites. Existing machinability problems like low processability
and reduction of the ductility are addressed and discussed in
relation to use of adhesion promoters, additives or chemical
modification of the filler to overcome these problems. Recent
industrial efforts to minimize the environmental impact, e.g.
biodegradable polymer matrix, renewable sources complete the
approach.
This volume gathers contributions in the field of partial
differential equations, with a focus on mathematical models in
phase transitions, complex fluids and thermomechanics. These
contributions are dedicated to Professor Gianni Gilardi on the
occasion of his 70th birthday. It particularly develops the
following thematic areas: nonlinear dynamic and stationary
equations; well-posedness of initial and boundary value problems
for systems of PDEs; regularity properties for the solutions;
optimal control problems and optimality conditions; feedback
stabilization and stability results. Most of the articles are
presented in a self-contained manner, and describe new achievements
and/or the state of the art in their line of research, providing
interested readers with an overview of recent advances and future
research directions in PDEs.
Volume 2 of the Handbook of Colloid and Interface Science is a
survey into the theory of dispersions in a variety of fields, as
well as characterization by rheology. It is an ideal reference work
for research scientists, universities, and industry practitioners
looking for a complete understanding of how colloids and interfaces
behave in the areas of materials science, chemical engineering, and
colloidal science.
This book is devoted to recent developments concerning linear
operators, covering topics such as the Cauchy problem, Riesz basis,
frames, spectral theory and applications to the Gribov operator in
Bargmann space. Also, integral and integro-differential equations
as well as applications to problems in mathematical physics and
mechanics are discussed. Contents Introduction Linear operators
Basic notations and results Bases Semi-groups Discrete operator and
denseness of the generalized eigenvectors Frames in Hilbert spaces
Summability of series -convergence operators -hypercyclic set of
linear operators Analytic operators in Bela Szoekefalvi-Nagy's
sense Bases of the perturbed operator T( ) Frame of the perturbed
operator T( ) Perturbation method for sound radiation by a
vibrating plate in a light fluid Applications to mathematical
models Reggeon field theory
The OCR A level Lab Books support students in completing the A
level Core Practical requirements. This lab book includes: all the
instructions students need to perform the Core Practicals,
consistent with our A level online teaching resources writing
frames for students to record their results and reflect on their
work CPAC Skills Checklists, so that students can track the
practical skills they have learned, in preparation for their exams
practical skills practice questions a full set of answers. This lab
book is designed to help students to: structure their A level lab
work to ensure that they cover the Core Practical assessment
criteria track their progress in the development of A level
practical skills create a record of all of the Core Practical work
they will have completed, in preparation for revision.
This handbook covers basic concepts in mechanical engineering and
mechatronics, including stress and strain, mechanics of solids,
internal combustion engines, refrigeration, fluid mechanics,
control systems, actuation, robotics, electro-mechanical systems,
hydraulics, and more. Using step by step examples and numerous
illustrations, the book is designed with a "self-teaching"
methodology, including a variety of exercises with corresponding
answers to enhance mastery of the content. Mechanical engineering
and mechatronics concepts provide the skill sets in
cross-disciplinary subjects which are needed in modern
manufacturing industries. Features Covers basic concepts in
mechanical engineering and mechatronics, including stress and
strain, mechanics of solids, internal combustion engines,
refrigeration, fluid mechanics, control systems, actuation,
robotics, and electro-mechanical systems Includes a variety of
exercises (with answers), such as conceptual questions, multiple
choice, and fill-in the blanks, to enhance mastery of the content
In this monograph, the authors develop a comprehensive approach for
the mathematical analysis of a wide array of problems involving
moving interfaces. It includes an in-depth study of abstract
quasilinear parabolic evolution equations, elliptic and parabolic
boundary value problems, transmission problems, one- and two-phase
Stokes problems, and the equations of incompressible viscous one-
and two-phase fluid flows. The theory of maximal regularity, an
essential element, is also fully developed. The authors present a
modern approach based on powerful tools in classical analysis,
functional analysis, and vector-valued harmonic analysis. The
theory is applied to problems in two-phase fluid dynamics and phase
transitions, one-phase generalized Newtonian fluids, nematic liquid
crystal flows, Maxwell-Stefan diffusion, and a variety of geometric
evolution equations. The book also includes a discussion of the
underlying physical and thermodynamic principles governing the
equations of fluid flows and phase transitions, and an exposition
of the geometry of moving hypersurfaces.
Volume 1 of the Handbook of Colloid and Interface Science is a
survey of the theory of colloids in a variety of fields, as well as
theircharacterization by rheology. It is an ideal reference work
for research scientists, universities, and industry practitioners
looking for a complete understanding of how colloids and interfaces
behave.
Induction Machines: Magnetic Field Analysis in Induction Motors in
the Fieldoriented Mode (G. Henneberger, M. Schmitz). Other
Synchronous Machines: Use of Cubic Finite Elementboundary Element
Coupling Method in the Computation of the Electromagnetic
Parameters of a Switched Reluctance Motor (A. Omekanda et al.).
Permanent Magnet Machines: Torque Calculation of a Small, Axial
Flux Permanent Magnet Motor (M. Van Dessel et al.). Field Problems
in Electroheat Systems: Inductors Modeling and Optimization in
Cooking Induction Heating Systems (D. Leschi et al.). Coupled
Problems: Study of Magnetoelastic Problems by Strong Coupling Model
(M. Besbes et al.). Numerical Problems: Optimization of the Memory
Employment for Studying Electrical Machines by Finite Element
Method (G. Cannistra et al.). Nondestructive Testing:
Regularization Neural Networks for Inverse Problems in
Nondestructive Testing (F.C. Morabito, M. Campolo). High Frequency
Problems: Algorithms for the Analysis of Magnetic Fields in 3D
Conductor Systems (B. Azzerboni, E. Cardelli). System Optimization
and Design: Modeling and Characterization of Pulsed Eddy
Currents-Application to Nondestructive Testing in Riveted
Assemblies Used in Aeronautics. Applications: Calculation of the
Electric and the Magnetic Field Generated by Busbar Systems (R.
Mertens, R. Belmans). 75 additional articles. Index.
This book introduces new methods to analyze vertex-varying graph
signals. In many real-world scenarios, the data sensing domain is
not a regular grid, but a more complex network that consists of
sensing points (vertices) and edges (relating the sensing points).
Furthermore, sensing geometry or signal properties define the
relation among sensed signal points. Even for the data sensed in
the well-defined time or space domain, the introduction of new
relationships among the sensing points may produce new insights in
the analysis and result in more advanced data processing
techniques. The data domain, in these cases and discussed in this
book, is defined by a graph. Graphs exploit the fundamental
relations among the data points. Processing of signals whose
sensing domains are defined by graphs resulted in graph data
processing as an emerging field in signal processing. Although
signal processing techniques for the analysis of time-varying
signals are well established, the corresponding graph signal
processing equivalent approaches are still in their infancy. This
book presents novel approaches to analyze vertex-varying graph
signals. The vertex-frequency analysis methods use the Laplacian or
adjacency matrix to establish connections between vertex and
spectral (frequency) domain in order to analyze local signal
behavior where edge connections are used for graph signal
localization. The book applies combined concepts from
time-frequency and wavelet analyses of classical signal processing
to the analysis of graph signals. Covering analytical tools for
vertex-varying applications, this book is of interest to
researchers and practitioners in engineering, science,
neuroscience, genome processing, just to name a few. It is also a
valuable resource for postgraduate students and researchers looking
to expand their knowledge of the vertex-frequency analysis theory
and its applications. The book consists of 15 chapters contributed
by 41 leading researches in the field.
Pyrolysis and Gasification of Biomass and Waste provides an
authoritative review of thermal biomass conversion technologies and
their implementation now and in the future. These proceedings
include over 70 papers and case studies presented by leading
experts from Europe and North America in Strasbourg in October
2002. Covering both technical issues and commercial opportunities,
the papers include numerous diagrams, tables and figures presenting
up-to-date details of how the latest pyrolysis and gasification
technology is being put into practice. The meeting covered a wide
range of raw materials and processes, addressing topics such as:
small and large scale gasification; fast pyrolysis of biomass;
liquefied wood fuel; full-scale application of sewage sludge
pyrolysis; ammonia production and reduction; gasification of sorted
MSW; green diesel; gas engines; gas cleaning and process design;
technical and non-technical barriers to commercial exploitation. A
key aim of the Strasbourg meeting was to create recommendations for
strategies and policies in these areas, which the European
Commission can use in its forward planning, especially with regard
to sustainable energy supply, greenhouse gas mitigation and
associated environmental issues. This book is an invaluable
reference source for anyone concerned with these issues, and
essential reading for researchers, engineers, waste managers and
other professionals involved with the utilisation of green fuels
and feedstocks, gasification and the contemporary biomass industry.
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