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Showing 1 - 17 of
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Mechanical Drafting
Harvey Willard Miller
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R844
Discovery Miles 8 440
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Ships in 12 - 17 working days
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Symmetries in various forms pervade mathematics and physics.
Globally, there are the symmetries of a homogenous space induced by
the action of a Lie group. Locally, there are the infinitesimal
symmetries induced by differential operators, including not only
those of first order but of higher order too. This three-week
summer program considered the symmetries preserving various natural
geometric structures. Often these structures are themselves derived
from partial differential equations whilst their symmetries turn
out to be contrained by overdetermined systems. This leads to
further topics including separation of variables, conserved
quantities, superintegrability, parabolic geometry, represantation
theory, the Bernstein-Gelfand-Gelfand complex, finite element
schemes, exterior differential systems and moving frames. There are
two parts to the Proceedings. The articles in the first part are
expository but all contain significant new material. The articles
in the second part are concerned with original research. All
articles were thoroughly refereed and the range of interrelated
work ensures that this will be an extremely useful collection.
Indoor Pollution educates concerned readers about the sources of
indoor pollutants, the illnesses associated with them, and the
measures used to control them. Readers will also find a
comprehensive listing of relevant laws and regulations, a directory
of organizations, a complete bibliography, and a listing of
audio/visual aids. Appendixes listing organizations, chemical
compounds, measurements, and testing information complete the
volume. Includes a comprehensive listing of relevant laws and
regulations Provides an extensive appendix which lists
organizations, chemical compounds, measurements, and testing
information
A thorough overview of the phenomenon of flooding, including
frequency, damage, and information about organizations that help
flood victims. What causes killer floods? Why are they so
destructive? Can they be predicted, tamed, or eliminated? Find the
answers in Natural Disasters: Floods, which discusses where and how
often floods occur in the United States, how the federal government
handles flood control, and the extent of the economic and social
damage caused by floods.
Designed to serve as both a one-stop information source and a guide
to in depth exploration, this eye-opening volume examines the
availability and quality of our most fundamental resource-water.
Solidly grounded in scientific fact and historical and
environmental realities, Water Quality and Availability offers a
sobering look at the state of our water supply, the factors that
threaten its purity, government regulations designed to preserve
and protect it, and how current water shortages are affecting the
lifestyle and livelihoods of thousands of Americans. While not
promising any easy answers, the book provides solid, useful
information that can serve as a foundation for decision making,
further research, or simply enhanced understanding of this critical
resource.
Originally published in 1977, this volume is concerned with the
relationship between symmetries of a linear second-order partial
differential equation of mathematical physics, the coordinate
systems in which the equation admits solutions via separation of
variables, and the properties of the special functions that arise
in this manner. Some group-theoretic twists in the ancient method
of separation of variables that can be used to provide a foundation
for much of special function theory are shown. In particular, it is
shown explicitly that all special functions that arise via
separation of variables in the equations of mathematical physics
can be studied using group theory.
Originally published in 1977, this volume is concerned with the
relationship between symmetries of a linear second-order partial
differential equation of mathematical physics, the coordinate
systems in which the equation admits solutions via separation of
variables, and the properties of the special functions that arise
in this manner. Some group-theoretic twists in the ancient method
of separation of variables that can be used to provide a foundation
for much of special function theory are shown. In particular, it is
shown explicitly that all special functions that arise via
separation of variables in the equations of mathematical physics
can be studied using group theory.
Arising from courses taught by the authors, this largely
self-contained treatment is ideal for mathematicians who are
interested in applications or for students from applied fields who
want to understand the mathematics behind their subject. Early
chapters cover Fourier analysis, functional analysis, probability
and linear algebra, all of which have been chosen to prepare the
reader for the applications to come. The book includes rigorous
proofs of core results in compressive sensing and wavelet
convergence. Fundamental is the treatment of the linear system y= x
in both finite and infinite dimensions. There are three
possibilities: the system is determined, overdetermined or
underdetermined, each with different aspects. The authors assume
only basic familiarity with advanced calculus, linear algebra and
matrix theory and modest familiarity with signal processing, so the
book is accessible to students from the advanced undergraduate
level. Many exercises are also included.
Arising from courses taught by the authors, this largely
self-contained treatment is ideal for mathematicians who are
interested in applications or for students from applied fields who
want to understand the mathematics behind their subject. Early
chapters cover Fourier analysis, functional analysis, probability
and linear algebra, all of which have been chosen to prepare the
reader for the applications to come. The book includes rigorous
proofs of core results in compressive sensing and wavelet
convergence. Fundamental is the treatment of the linear system y= x
in both finite and infinite dimensions. There are three
possibilities: the system is determined, overdetermined or
underdetermined, each with different aspects. The authors assume
only basic familiarity with advanced calculus, linear algebra and
matrix theory and modest familiarity with signal processing, so the
book is accessible to students from the advanced undergraduate
level. Many exercises are also included.
This three-week summer program considered the symmetries
preserving various natural geometric structures. There are two
parts to the proceedings. The articles in the first part are
expository but all contain significant new material. The articles
in the second part are concerned with original research. All
articles were thoroughly refereed and the range of interrelated
work ensures that this will be an extremely useful collection.
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