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Books > Science & Mathematics > Mathematics
The term "stereotype space" was introduced in 1995 and denotes a
category of locally convex spaces with surprisingly elegant
properties. Its study gives an unexpected point of view on
functional analysis that brings this fi eld closer to other main
branches of mathematics, namely, to algebra and geometry. This
volume contains the foundations of the theory of stereotype spaces,
with accurate definitions, formulations, proofs, and numerous
examples illustrating the interaction of this discipline with the
category theory, the theory of Hopf algebras, and the four big
geometric disciplines: topology, differential geometry, complex
geometry, and algebraic geometry.
This book highlights new developments in the wide and growing field
of partial differential equations (PDE)-constrained optimization.
Optimization problems where the dynamics evolve according to a
system of PDEs arise in science, engineering, and economic
applications and they can take the form of inverse problems,
optimal control problems or optimal design problems. This book
covers new theoretical, computational as well as implementation
aspects for PDE-constrained optimization problems under
uncertainty, in shape optimization, and in feedback control, and it
illustrates the new developments on representative problems from a
variety of applications.
Recently, the use of statistical tools, methodologies, and models
in human resource management (HRM) has increased because of human
resources (HR) analytics and predictive HR decision making. To
utilize these technological tools, HR managers and students must
increase their knowledge of the resources' optimum application.
Statistical Tools and Analysis in Human Resources Management is a
critical scholarly resource that presents in-depth details on the
application of statistics in every sphere of HR functions for
optimal decision-making and analytical solutions. Featuring
coverage on a broad range of topics such as leadership, industrial
relations, training and development, and diversity management, this
book is geared towards managers, professionals, upper-level
students, administrators, and researchers seeking current
information on the integration of HRM technologies.
This work presents the guiding principles of Integral Transforms
needed for many applications when solving engineering and science
problems. As a modern approach to Laplace Transform, Fourier series
and Z-Transforms it is a valuable reference for professionals and
students alike.
The value of patterns to the teaching and learning of mathematics
is well understood, both in terms of research and application. When
we involve or appeal to pattern in teaching mathematics, it is
usually because we are trying to help students to extract greater
meaning, or enjoyment, or both, from the experience of learning
environments within which they are occupied, and perhaps also to
facilitate remembering. As a general skill it is thought that the
ability to discern a pattern is a precursor to the ability to
generalize and abstract, a skill essential in the early years of
learning and beyond. Research indicates that the larger problem in
teaching mathematics does not lie primarily with students; rather
it is with the teachers themselves. In order to make changes for
students there first needs to be a process of change for teachers.
Understanding the place of patterns in learning mathematics is a
predicate to understanding how to teach mathematics and how to use
pedagogical reasoning necessary in teaching mathematics.
Importantly, the lack of distinction created by the pedagogical use
of patterns is not immediately problematic to the student or the
teacher. The deep -seated cognitive patterns that both teachers and
students bring to the classroom require change. Chapter 1 opens the
book with a focus on mathematics as the science of patterns and the
importance of patterns in mathematical problem solving, providing
the reader with an introduction. The authors of Chapter 2 revisit
the work of Po lya and the development and implementation of
problem solving in mathematics. In Chapter 3, the authors present
an argument for core pedagogical content knowledge in mathematics
teacher preparation. The authors of Chapter 4 focus on preservice
teachers' patterns of conception as related to understanding number
and operation. In Chapter 5 the authors examine the role of visual
representation in exploring proportional reasoning, denoting the
importance of helping learners make their thinking visible. The
authors of Chapter 6 examine patterns and relationships, and the
importance of each in assisting students' learning and development
in mathematical understanding. The authors of Chapter 7 examine the
use of worked examples as a scalable practice, with emphasis on the
importance of worked examples in teaching fraction magnitude and
computation is discussed. In Chapter 8, the authors expand on the
zone of proximal development to investigate the potential of
Zankov's Lesson in terms of students analyzing numerical
equalities. The authors of Chapter 9 focus on high leverage
mathematical practices in elementary pre-service teacher
preparation, drawing into specific relief the APEX cycle to develop
deep thinking. In Chapter 10, the author focuses on number talks
and the engagement of students in mathematical reasoning, which
provides opportunities for students to be sensemakers of
mathematics. Chapter 11 presents an epilogue, focusing on the
importance of recognizing the special nature of mathematics
knowledge for teaching.
This book presents the state-of-the-art methods in Linear Integer
Programming, including some new algorithms and heuristic methods
developed by the authors in recent years. Topics as Characteristic
equation (CE), application of CE to bi-objective and
multi-objective problems, Binary integer problems, Mixed-integer
models, Knapsack models, Complexity reduction, Feasible-space
reduction, Random search, Connected graph are also treated.
System Simulation Techniques with MATLAB and Simulink
comprehensively explains how to use MATLAB and Simulink to perform
dynamic systems simulation tasks for engineering and
non-engineering applications. This book begins with covering the
fundamentals of MATLAB programming and applications, and the
solutions to different mathematical problems in simulation. The
fundamentals of Simulink modelling and simulation are then
presented, followed by coverage of intermediate level modelling
skills and more advanced techniques in Simulink modelling and
applications. Finally the modelling and simulation of engineering
and non-engineering systems are presented. The areas covered
include electrical, electronic systems, mechanical systems,
pharmacokinetic systems, video and image processing systems and
discrete event systems. Hardware-in-the-loop simulation and
real-time application are also discussed. Key features: *
Progressive building of simulation skills using Simulink, from
basics through to advanced levels, with illustrations and examples
* Wide coverage of simulation topics of applications from
engineering to non-engineering systems * Dedicated chapter on
hardware-in-the-loop simulation and real time control * End of
chapter exercises * A companion website hosting a solution manual
and powerpoint slides System Simulation Techniques with MATLAB and
Simulink is a suitable textbook for senior
undergraduate/postgraduate courses covering modelling and
simulation, and is also an ideal reference for researchers and
practitioners in industry.
Since its first volume in 1960, Advances in Computers has
presented detailed coverage of innovations in computer hardware,
software, theory, design, and applications. It has also provided
contributors with a medium in which they can explore their subjects
in greater depth and breadth than journal articles usually allow.
As a result, many articles have become standard references that
continue to be of sugnificant, lasting value in this rapidly
expanding field.
In-depth surveys and tutorials on new computer technologyWell-known
authors and researchers in the fieldExtensive bibliographies with
most chaptersMany of the volumes are devoted to single themes or
subfields of computer science
The advent of the internet largely changed the landscape of
marketing to adopt a wide variety of communication techniques and
creative selling on virtual platforms. Gaming provides a highly
pervasive and influential mode of offering new media communication
to consumers that can be further improved by digital innovation.
Application of Gaming in New Media Marketing is a collection of
vital research on the methods and applications of gaming in
marketing, including its growth, recent trends, practices, issues,
and main challenges. Highlighting a range of topics including
digital advertising, media planning, and social media marketing,
this book is ideally designed for marketers, software developers,
managers, business researchers, academicians, and graduate-level
students seeking current research on new and innovative methods to
reach and connect with audiences through games in a highly
interactive, measurable, and focused way.
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