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Books > Science & Mathematics > Mathematics > Applied mathematics
The sciences are, in essence, highly semiotized. Our ways of
thinking and communicating about science are based on permanent
transformations from one system of signs to another, such as
scriptural, graphic, symbolic, oral and gestural signs. The
semiotic focus studied in this book makes it possible to grasp part
of the complexity of teaching and learning phenomena by focusing on
the variety of possible interpretations of the signs that circulate
within the science classroom. Semiotic Approaches in Science
Didactics brings together contributions from didactic research
involving various disciplines such as mathematics, chemistry,
physics and geography, which mobilize different types of semiotic
support. It offers the key to understanding and even reducing some
of the misunderstandings that can arise between a speaker and a
receiver in scientific teaching situations.
Written by a team of experts, Advances in Flowmeter Technology
surveys the full range of modern flowmeters for product managers,
strategic planners, engineers, distributors, and students. The
origins, principles of operation,controls and instrumentation, and
the relative advantages of each major flowmeter type are thoroughly
explained. Extensive coverage of new types that employ cutting-edge
technologies - such as coriolis, magnetic, ultrasonic, vortex,
thermal flowmeters - is provided. The text includes comparative
examples, placing these new types of meters in the context of more
traditional ones, such as differential pressure, turbine, and
positive displacement flowmeters.
This book contains an extensive illustration of use of finite
difference method in solving the boundary value problem
numerically. A wide class of differential equations has been
numerically solved in this book. Starting with differential
equations of elementary functions like hyperbolic, sine and cosine,
we have solved those of special functions like Hermite, Laguerre
and Legendre. Those of Airy function, of stationary localised
wavepacket, of the quantum mechanical problem of a particle in a 1D
box, and the polar equation of motion under gravitational
interaction have also been solved. Mathematica 6.0 has been used to
solve the system of linear equations that we encountered and to
plot the numerical data. Comparison with known analytic solutions
showed nearly perfect agreement in every case. On reading this
book, readers will become adept in using the method.
Calculus for Engineering Students: Fundamentals, Real Problems, and
Computers insists that mathematics cannot be separated from
chemistry, mechanics, electricity, electronics, automation, and
other disciplines. It emphasizes interdisciplinary problems as a
way to show the importance of calculus in engineering tasks and
problems. While concentrating on actual problems instead of theory,
the book uses Computer Algebra Systems (CAS) to help students
incorporate lessons into their own studies. Assuming a working
familiarity with calculus concepts, the book provides a hands-on
opportunity for students to increase their calculus and mathematics
skills while also learning about engineering applications.
This is an introductory textbook on computational methods and
techniques intended for undergraduates at the sophomore or junior
level in the fields of science, mathematics, and engineering. It
provides an introduction to programming languages such as FORTRAN
90/95/2000 and covers numerical techniques such as differentiation,
integration, root finding, and data fitting. The textbook also
entails the use of the Linux/Unix operating system and other
relevant software such as plotting programs, text editors, and mark
up languages such as LaTeX. It includes multiple homework
assignments.
Flexible Bayesian Regression Modeling is a step-by-step guide to
the Bayesian revolution in regression modeling, for use in advanced
econometric and statistical analysis where datasets are
characterized by complexity, multiplicity, and large sample sizes,
necessitating the need for considerable flexibility in modeling
techniques. It reviews three forms of flexibility: methods which
provide flexibility in their error distribution; methods which
model non-central parts of the distribution (such as quantile
regression); and finally models that allow the mean function to be
flexible (such as spline models). Each chapter discusses the key
aspects of fitting a regression model. R programs accompany the
methods. This book is particularly relevant to non-specialist
practitioners with intermediate mathematical training seeking to
apply Bayesian approaches in economics, biology, finance,
engineering and medicine.
In the world of mathematics, the study of fuzzy relations and its
theories are well-documented and a staple in the area of
calculative methods. What many researchers and scientists overlook
is how fuzzy theory can be applied to industries outside of
arithmetic. The framework of fuzzy logic is much broader than
professionals realize. There is a lack of research on the full
potential this theoretical model can reach. Emerging Applications
of Fuzzy Algebraic Structures provides emerging research exploring
the theoretical and practical aspects of fuzzy set theory and its
real-life applications within the fields of engineering and
science. Featuring coverage on a broad range of topics such as
complex systems, topological spaces, and linear transformations,
this book is ideally designed for academicians, professionals, and
students seeking current research on innovations in fuzzy logic in
algebra and other matrices.
With a foreword by Freeman Dyson, the handbook brings together
leading mathematicians and physicists to offer a comprehensive
overview of random matrix theory, including a guide to new
developments and the diverse range of applications of this
approach.
In part one, all modern and classical techniques of solving random
matrix models are explored, including orthogonal polynomials, exact
replicas or supersymmetry. Further, all main extensions of the
classical Gaussian ensembles of Wigner and Dyson are introduced
including sparse, heavy tailed, non-Hermitian or multi-matrix
models. In the second and larger part, all major applications are
covered, in disciplines ranging from physics and mathematics to
biology and engineering. This includes standard fields such as
number theory, quantum chaos or quantum chromodynamics, as well as
recent developments such as partitions, growth models, knot theory,
wireless communication or bio-polymer folding.
The handbook is suitable both for introducing novices to this area
of research and as a main source of reference for active
researchers in mathematics, physics and engineering.
Multilevel Modeling Methods with Introductory and Advanced
Applications provides a cogent and comprehensive introduction to
the area of multilevel modeling for methodological and applied
researchers as well as advanced graduate students. The book is
designed to be able to serve as a textbook for a one or two
semester course in multilevel modeling. The topics of the seventeen
chapters range from basic to advanced, yet each chapter is designed
to be able to stand alone as an instructional unit on its
respective topic, with an emphasis on application and
interpretation. In addition to covering foundational topics on the
use of multilevel models for organizational and longitudinal
research, the book includes chapters on more advanced extensions
and applications, such as cross-classified random effects models,
non-linear growth models, mixed effects location scale models,
logistic, ordinal, and Poisson models, and multilevel mediation. In
addition, the volume includes chapters addressing some of the most
important design and analytic issues including missing data, power
analyses, causal inference, model fit, and measurement issues.
Finally, the volume includes chapters addressing special topics
such as using large-scale complex sample datasets, and reporting
the results of multilevel designs. Each chapter contains a section
called Try This!, which poses a structured data problem for the
reader. We have linked our book to a website
(http://modeling.uconn.edu) containing data for the Try This!
section, creating an opportunity for readers to learn by doing. The
inclusion of the Try This! problems, data, and sample code eases
the burden for instructors, who must continually search for class
examples and homework problems. In addition, each chapter provides
recommendations for additional methodological and applied readings.
Link prediction is required to understand the evolutionary theory
of computing for different social networks. However, the stochastic
growth of the social network leads to various challenges in
identifying hidden links, such as representation of graph,
distinction between spurious and missing links, selection of link
prediction techniques comprised of network features, and
identification of network types. Hidden Link Prediction in
Stochastic Social Networks concentrates on the foremost techniques
of hidden link predictions in stochastic social networks including
methods and approaches that involve similarity index techniques,
matrix factorization, reinforcement, models, and graph
representations and community detections. The book also includes
miscellaneous methods of different modalities in deep learning,
agent-driven AI techniques, and automata-driven systems and will
improve the understanding and development of automated machine
learning systems for supervised, unsupervised, and
recommendation-driven learning systems. It is intended for use by
data scientists, technology developers, professionals, students,
and researchers.
Pultrusion: State-of-the-Art Process Models with Applications,
Second Edition is a detailed guide to pultrusion, providing
methodical coverage of process models and computation simulation,
governing principles and science, and key challenges to help
readers enable process optimization and scale-up. This new edition
has been revised and expanded to include the latest advances,
state-of-the-art process models, and governing principles. The main
challenges in pultrusion, such as the process induced residual
stresses, shape distortions, thermal history, species conversion,
phase changes, impregnation of the reinforcements and pulling force
are described, with related examples are provided. Moreover,
strategies for having a reliable and optimized process using
probabilistic approaches and optimization algorithms are
summarized. Another focus of this book is on the thermo-chemical
and mechanical analyses of the pultrusion process for industrial
profiles.
Since the earliest days of human existence, the clash of thunder
and trembling of the hills has struck fear into the hearts of
seasoned warriors and tribal villagers alike. Great gods,
demi-gods, and heroes were created to explain the awesome,
mysterious, and incomprehensibly powerful forces of Nature in a
feeble attempt to make sense of the world around them. To our
advanced scientific minds today, these explanations seem childish
and ridiculous; however, the power to flatten thousands of square
miles of ancient forest, create massive holes in the Earth itself,
and cause mountains to tremble to their very roots are more than
enough reason to believe. Indeed, perhaps our scientific
advancement has caused us to not fully or completely appreciate the
awesome scale and power that Nature can wield against us. The study
of shock wave formation and dynamics begins with a study of waves
themselves. Simple harmonic motion is used to analyze the physical
mechanisms of wave generation and propagation, and the principle of
superposition is used to mathematically generate constructive and
destructive interference. Further development leads to the shock
singularity where a single wave of immense magnitude propagates and
decays through various media. Correlations with the fields of
thermodynamics, meteorology, crater formation, and acoustics are
made, as well as a few special applications. Direct correlation is
made to events in Arizona, Siberia, and others. The mathematical
requirement for this text includes trigonometry, differential
equations, and large series summations, which should be accessible
to most beginning and advanced university students. This text
should serve well as supplementary material in a course covering
discrete wave dynamics, applied thermodynamics, or extreme
acoustics.
Algebraic and Combinatorial Computational Biology introduces
students and researchers to a panorama of powerful and current
methods for mathematical problem-solving in modern computational
biology. Presented in a modular format, each topic introduces the
biological foundations of the field, covers specialized
mathematical theory, and concludes by highlighting connections with
ongoing research, particularly open questions. The work addresses
problems from gene regulation, neuroscience, phylogenetics,
molecular networks, assembly and folding of biomolecular
structures, and the use of clustering methods in biology. A number
of these chapters are surveys of new topics that have not been
previously compiled into one unified source. These topics were
selected because they highlight the use of technique from algebra
and combinatorics that are becoming mainstream in the life
sciences.
Power Systems Modelling and Fault Analysis: Theory and Practice,
Second Edition, focuses on the important core areas and technical
skills required for practicing electrical power engineers.
Providing a comprehensive and practical treatment of the modeling
of electrical power systems, the book offers students and
professionals the theory and practice of fault analysis of power
systems, covering detailed and advanced theories and modern
industry practices. The book describes relevant advances in the
industry, such as international standards developments and new
generation technologies, such as wind turbine generators, fault
current limiters, multi-phase fault analysis, the measurement of
equipment parameters, probabilistic short-circuit analysis, and
more.
In recent years, substantial efforts are being made in the
development of reliability theory including fuzzy reliability
theories and their applications to various real-life problems.
Fuzzy set theory is widely used in decision making and multi
criteria such as management and engineering, as well as other
important domains in order to evaluate the uncertainty of real-life
systems. Fuzzy reliability has proven to have effective tools and
techniques based on real set theory for proposed models within
various engineering fields, and current research focuses on these
applications. Advancements in Fuzzy Reliability Theory introduces
the concept of reliability fuzzy set theory including various
methods, techniques, and algorithms. The chapters present the
latest findings and research in fuzzy reliability theory
applications in engineering areas. While examining the
implementation of fuzzy reliability theory among various industries
such as mining, construction, automobile, engineering, and more,
this book is ideal for engineers, practitioners, researchers,
academicians, and students interested in fuzzy reliability theory
applications in engineering areas.
The book addresses optimization in the petroleum industry from a
practical, large-scale-application-oriented point of view. The
models and techniques presented help to optimize the limited
resources in the industry in order to maximize economic benefits,
ensure operational safety, and reduce environmental impact. The
book discusses several important real-life applications of
optimization in the petroleum industry, ranging from the scheduling
of personnel time to the blending of gasoline. It covers a wide
spectrum of relevant activities, including drilling, producing,
maintenance, and distribution. The text begins with an introductory
overview of the petroleum industry and then of optimization models
and techniques. The main body of the book details a variety of
applications of optimization models and techniques within the
petroleum industry. Applied Optimization in the Petroleum
Industry helps readers to find effective optimization-based
solutions to their own practical problems in a large and important
industrial sector, still the main source of the world’s energy
and the source of raw materials for a wide variety of industrial
and consumer products.
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