|
Showing 1 - 17 of
17 matches in All Departments
This book is a compendium of fundamental mathematical concepts,
methods, models, and their wide range of applications in diverse
fields of engineering. It comprises essentially a comprehensive and
contemporary coverage of those areas of mathematics which provide
foundation to electronic, electrical, communication, petroleum,
chemical, civil, mechanical, biomedical, software, and financial
engineering. It gives a fairly extensive treatment of some of the
recent developments in mathematics which have found very
significant applications to engineering problems.
This book presents the basic concepts of calculus and its relevance
to real-world problems, covering the standard topics in their
conventional order. By focusing on applications, it allows readers
to view mathematics in a practical and relevant setting. Organized
into 12 chapters, this book includes numerous interesting, relevant
and up-to date applications that are drawn from the fields of
business, economics, social and behavioural sciences, life
sciences, physical sciences, and other fields of general interest.
It also features MATLAB, which is used to solve a number of
problems. The book is ideal as a first course in calculus for
mathematics and engineering students. It is also useful for
students of other sciences who are interested in learning calculus.
The present volume contains invited talks of 11th biennial
conference on "Emerging Mathematical Methods, Models and Algorithms
for Science and Technology". The main message of the book is that
mathematics has a great potential to analyse and understand the
challenging problems of nanotechnology, biotechnology, medical
science, oil industry and financial technology. The book highlights
all the features and main theme discussed in the conference. All
contributing authors are eminent academicians, scientists,
researchers and scholars in their respective fields, hailing from
around the world.
The book discusses essential topics in industrial and applied
mathematics such as image processing with a special focus on
medical imaging, biometrics and tomography. Applications of
mathematical concepts to areas like national security, homeland
security and law enforcement, enterprise and e-government services,
personal information and business transactions, and brain-like
computers are also highlighted. These contributions - all prepared
by respected academicians, scientists and researchers from across
the globe - are based on papers presented at the international
conference organized on the occasion of the Silver Jubilee of the
Indian Society of Industrial and Applied Mathematics (ISIAM) held
from 29 to 31 January 2016 at Sharda University, Greater Noida,
India. The book will help young scientists and engineers grasp
systematic developments in those areas of mathematics that are
essential to properly understand challenging contemporary problems.
The present volume contains invited talks of 11th biennial
conference on "Emerging Mathematical Methods, Models and Algorithms
for Science and Technology". The main message of the book is that
mathematics has a great potential to analyse and understand the
challenging problems of nanotechnology, biotechnology, medical
science, oil industry and financial technology. The book highlights
all the features and main theme discussed in the conference. All
contributing authors are eminent academicians, scientists,
researchers and scholars in their respective fields, hailing from
around the world.
An important objective of the study of mathematics is to analyze
and visualize phenomena of nature and real world problems for its
proper understanding. Gradually, it is also becoming the language
of modem financial instruments. To project some of these
developments, the conference was planned under the joint auspices
of the Indian Society of Industrial and Applied mathematics (ISlAM)
and Guru Nanak Dev University (G. N. D. U. ), Amritsar, India. Dr.
Pammy Manchanda, chairperson of Mathematics Department, G. N. D.
U., was appointed the organizing secretary and an organizing
committee was constituted. The Conference was scheduled in World
Mathematics Year 2000 but, due one reason or the other, it could be
held during 22. -25. January 2001. How ever, keeping in view the
suggestion of the International Mathematics union, we organized two
symposia, Role of Mathematics in industrial development and
vice-versa and How image of Mathematics can be improved in public.
These two symposia aroused great interest among the participants
and almost everyone participated in the deliberations. The
discussion in these two themes could be summarized in the lengthy
following lines: "Tradition of working in isolation is a barrier
for interaction with the workers in the other fields of science and
engineering, what to talk of non-academic areas, specially the
private sector of finance and industry. Therefore, it is essential
to build bridges within in stitutions and between institutions."
An important objective of the study of mathematics is to analyze
and visualize phenomena of nature and real world problems for its
proper understanding. Gradually, it is also becoming the language
of modem financial instruments. To project some of these
developments, the conference was planned under the joint auspices
of the Indian Society of Industrial and Applied mathematics (ISlAM)
and Guru Nanak Dev University (G. N. D. U. ), Amritsar, India. Dr.
Pammy Manchanda, chairperson of Mathematics Department, G. N. D.
U., was appointed the organizing secretary and an organizing
committee was constituted. The Conference was scheduled in World
Mathematics Year 2000 but, due one reason or the other, it could be
held during 22. -25. January 2001. How ever, keeping in view the
suggestion of the International Mathematics union, we organized two
symposia, Role of Mathematics in industrial development and
vice-versa and How image of Mathematics can be improved in public.
These two symposia aroused great interest among the participants
and almost everyone participated in the deliberations. The
discussion in these two themes could be summarized in the lengthy
following lines: "Tradition of working in isolation is a barrier
for interaction with the workers in the other fields of science and
engineering, what to talk of non-academic areas, specially the
private sector of finance and industry. Therefore, it is essential
to build bridges within in stitutions and between institutions."
Industrial Mathematics is a relatively recent discipline. It is
concerned primarily with transforming technical, organizational and
economic problems posed by indus try into mathematical problems;
"solving" these problems byapproximative methods of analytical
and/or numerical nature; and finally reinterpreting the results in
terms of the original problems. In short, industrial mathematics is
modelling and scientific computing of industrial problems.
Industrial mathematicians are bridge-builders: they build bridges
from the field of mathematics to the practical world; to do that
they need to know about both sides, the problems from the companies
and ideas and methods from mathematics. As mathematicians, they
have to be generalists. If you enter the world of indus try, you
never know which kind of problems you will encounter, and which
kind of mathematical concepts and methods you will need to solve
them. Hence, to be a good "industrial mathematician" you need to
know a good deal of mathematics as well as ideas already common in
engineering and modern mathematics with tremen dous potential for
application. Mathematical concepts like wavelets, pseudorandom
numbers, inverse problems, multigrid etc., introduced during the
last 20 years have recently started entering the world of real
applications. Industrial mathematics consists of modelling,
discretization, analysis and visu alization. To make a good model,
to transform the industrial problem into a math ematical one such
that you can trust the prediction of the model is no easy task."
With special emphasis on engineering and science applications, this
textbook provides a mathematical introduction to the field of
partial differential equations (PDEs). The text represents a new
approach to PDEs at the undergraduate level by presenting
computation as an integral part of the study of differential
equations. The authors use the computer software Mathematica (R)
along with graphics to improve understanding and interpretation of
concepts. The book also presents solutions to selected examples as
well as exercises in each chapter. Topics include Laplace and
Fourier transforms as well as Sturm-Liuville Boundary Value
Problems.
This book presents the basic concepts of calculus and its relevance
to real-world problems, covering the standard topics in their
conventional order. By focusing on applications, it allows readers
to view mathematics in a practical and relevant setting. Organized
into 12 chapters, this book includes numerous interesting, relevant
and up-to date applications that are drawn from the fields of
business, economics, social and behavioural sciences, life
sciences, physical sciences, and other fields of general interest.
It also features MATLAB, which is used to solve a number of
problems. The book is ideal as a first course in calculus for
mathematics and engineering students. It is also useful for
students of other sciences who are interested in learning calculus.
This book focuses on the fusion of wavelets and Walsh analysis,
which involves non-trigonometric function series (or Walsh-Fourier
series). The primary objective of the book is to systematically
present the basic properties of non-trigonometric orthonormal
systems such as the Haar system, Haar-Vilenkin system, Walsh
system, wavelet system and frame system, as well as updated results
on the book's main theme. Based on lectures that the authors
presented at several international conferences, the notions and
concepts introduced in this interdisciplinary book can be applied
to any situation where wavelets and their variants are used. Most
of the applications of wavelet analysis and Walsh analysis can be
tried for newly constructed wavelets. Given its breadth of
coverage, the book offers a valuable resource for theoreticians and
those applying mathematics in diverse areas. It is especially
intended for graduate students of mathematics and engineering and
researchers interested in applied analysis.
This book focuses on the fusion of wavelets and Walsh analysis,
which involves non-trigonometric function series (or Walsh-Fourier
series). The primary objective of the book is to systematically
present the basic properties of non-trigonometric orthonormal
systems such as the Haar system, Haar-Vilenkin system, Walsh
system, wavelet system and frame system, as well as updated results
on the book's main theme. Based on lectures that the authors
presented at several international conferences, the notions and
concepts introduced in this interdisciplinary book can be applied
to any situation where wavelets and their variants are used. Most
of the applications of wavelet analysis and Walsh analysis can be
tried for newly constructed wavelets. Given its breadth of
coverage, the book offers a valuable resource for theoreticians and
those applying mathematics in diverse areas. It is especially
intended for graduate students of mathematics and engineering and
researchers interested in applied analysis.
This self-contained textbook discusses all major topics in
functional analysis. Combining classical materials with new
methods, it supplies numerous relevant solved examples and problems
and discusses the applications of functional analysis in diverse
fields. The book is unique in its scope, and a variety of
applications of functional analysis and operator-theoretic methods
are devoted to each area of application. Each chapter includes a
set of problems, some of which are routine and elementary, and some
of which are more advanced. The book is primarily intended as a
textbook for graduate and advanced undergraduate students in
applied mathematics and engineering. It offers several attractive
features making it ideally suited for courses on functional
analysis intended to provide a basic introduction to the subject
and the impact of functional analysis on applied and computational
mathematics, nonlinear functional analysis and optimization. It
introduces emerging topics like wavelets, Gabor system, inverse
problems and application to signal and image processing.
This self-contained textbook discusses all major topics in
functional analysis. Combining classical materials with new
methods, it supplies numerous relevant solved examples and problems
and discusses the applications of functional analysis in diverse
fields. The book is unique in its scope, and a variety of
applications of functional analysis and operator-theoretic methods
are devoted to each area of application. Each chapter includes a
set of problems, some of which are routine and elementary, and some
of which are more advanced. The book is primarily intended as a
textbook for graduate and advanced undergraduate students in
applied mathematics and engineering. It offers several attractive
features making it ideally suited for courses on functional
analysis intended to provide a basic introduction to the subject
and the impact of functional analysis on applied and computational
mathematics, nonlinear functional analysis and optimization. It
introduces emerging topics like wavelets, Gabor system, inverse
problems and application to signal and image processing.
This unique volume presents reviews of research in several
important areas of applications of mathematical concepts to science
and technology, for example applications of inverse problems and
wavelets to real world systems. The book provides a comprehensive
overview of current research of several outstanding scholars
engaged in diverse fields such as complexity theory, vertex
coupling in quantum graphs, mixing of substances by turbulence,
network dynamics and architecture, processes with rate -
independent hysteresis, numerical analysis of Hamilton Jacobi -
Bellman equations, simulations of complex stochastic differential
equations, optimal flow control, shape optimal flow control, shape
optimization and aircraft designing, mathematics of brain,
nanotechnology and DNA structure and mathematical models of
environmental problems. The volume also contains contributory talks
based on current researches of comparatively young researchers
participating in the conference.
This volume constitutes the proceedings of a mathematical
conference on functional analysis and its applications. The
conference brought together mathematicians and other scientists
from four continents, including the developing countries, in order
to gather and disseminate up-to-date research in functional
analysis with a spectrum as broad as possible, ranging from topics
in classical functional analysis to various areas of numerical and
applied mathematics. These topics include: topological vector
spaces; Banach algebras; meromorphic functions; partial
differential equations; and variational equations and inequalities;
optimization; wavelets; elasoplasticity; numerical integration;
fractal image compression; reservoir simulation; forest management;
and industrial mathematics.
Mathematics does not exist in isolation but is linked inextricably
to the physical world. At the 2003 International Congress of
Industrial and Applied Mathematics, leading mathematicians from
around the globe gathered for a symposium on the "Mathematics of
Real World Problems," which focused on furthering the establishment
and dissemination of those links.
Presented in four parts, Mathematical Models and Methods for Real
World Systems comprises chapters by those invited to this
symposium. The first part examines mathematics for technology,
exploring future challenges of mathematical technology, offering a
wide-ranging definition of industrial mathematics, and explaining
the mathematics of type-II superconductors. After lucid discussions
on theoretical and applied aspects of wavelets, the book presents
classical and fractal methods for physical problems, including a
fractal approach to porous media textures and using MATLAB(r) to
model chaos in the motion of a satellite. The final section surveys
recent trends in variational methods, focusing on areas such as
elliptic inverse problems, sweeping processes, and the BBKY
hierarchy of quantum kinetic equations.
By virtue of its abstraction, mathematics allows the transfer of
ideas between fields of applications. Mathematical Models and
Methods for Real World Systems clearly demonstrates this and
promotes the kind of cross-thinking that nurtures creativity and
leads to further innovatio
|
|