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Shelving Guide: Electrical Engineering In 1900 the great German
theoretical physicist Max Planck formulated a correct mathematical
description of blackbody radiation. Today, understanding the
behavior of a blackbody is of importance to many fields including
thermal and infrared systems engineering, pyrometry, astronomy,
meteorology, and illumination. This book gives an account of the
development of Planck's equation together with many of the other
functions closely related to it. Particular attention is paid to
the computational aspects employed in the evaluation of these
functions together with the various aids developed to facilitate
such calculations. The book is divided into three sections. Section
I - Thermal radiation and the blackbody problem are introduced and
discussed. Early developments made by experimentalists and
theoreticians are examined as they strove to understand the problem
of the blackbody. Section II - The development of Planck's equation
is explained as are the all-important fractional functions of the
first and second kinds which result when Planck's equation is
integrated between finite limits. A number of theoretical
developments are discussed that stem directly from Planck's law, as
are the various computational matters that arise when numerical
evaluation is required. Basic elements of radiometry that tie
together and use many of the theoretical and computational ideas
developed is also presented. Section III - A comprehensive account
of the various computational aids such as tables, nomograms,
graphs, and radiation slide rules devised and used by generations
of scientists and engineers when working with blackbody radiation
are presented as are more recent aids utilizing computers and
digital devices for real-time computations. Scientists and
engineers working in fields utilizing blac
Shelving Guide: Electrical Engineering In 1900 the great German
theoretical physicist Max Planck formulated a correct mathematical
description of blackbody radiation. Today, understanding the
behavior of a blackbody is of importance to many fields including
thermal and infrared systems engineering, pyrometry, astronomy,
meteorology, and illumination. This book gives an account of the
development of Planck's equation together with many of the other
functions closely related to it. Particular attention is paid to
the computational aspects employed in the evaluation of these
functions together with the various aids developed to facilitate
such calculations. The book is divided into three sections. Section
I - Thermal radiation and the blackbody problem are introduced and
discussed. Early developments made by experimentalists and
theoreticians are examined as they strove to understand the problem
of the blackbody. Section II - The development of Planck's equation
is explained as are the all-important fractional functions of the
first and second kinds which result when Planck's equation is
integrated between finite limits. A number of theoretical
developments are discussed that stem directly from Planck's law, as
are the various computational matters that arise when numerical
evaluation is required. Basic elements of radiometry that tie
together and use many of the theoretical and computational ideas
developed is also presented. Section III - A comprehensive account
of the various computational aids such as tables, nomograms,
graphs, and radiation slide rules devised and used by generations
of scientists and engineers when working with blackbody radiation
are presented as are more recent aids utilizing computers and
digital devices for real-time computations. Scientists and
engineers working in fields utilizing blackbody sources will find
this book to be a valuable guide in understanding many of the
computational aspects and nuances associated with Planck's equation
and its other closely related functions. With over 700 references,
it provides an excellent research resource.
While differentiating elementary functions is merely a skill,
finding their integrals is an art. This practical introduction to
the art of integration gives readers the tools and confidence to
tackle common and uncommon integrals. After a review of the basic
properties of the Riemann integral, each chapter is devoted to a
particular technique of elementary integration. Thorough
explanations and plentiful worked examples prepare the reader for
the extensive exercises at the end of each chapter. These exercises
increase in difficulty from warm-up problems, through drill
examples, to challenging extensions which illustrate such advanced
topics as the irrationality of and e, the solution of the Basel
problem, Leibniz's series and Wallis's product. The author's
accessible and engaging manner will appeal to a wide audience,
including students, teachers and self-learners. The book can serve
as a complete introduction to finding elementary integrals, or as a
supplementary text for any beginning course in calculus.
While differentiating elementary functions is merely a skill,
finding their integrals is an art. This practical introduction to
the art of integration gives readers the tools and confidence to
tackle common and uncommon integrals. After a review of the basic
properties of the Riemann integral, each chapter is devoted to a
particular technique of elementary integration. Thorough
explanations and plentiful worked examples prepare the reader for
the extensive exercises at the end of each chapter. These exercises
increase in difficulty from warm-up problems, through drill
examples, to challenging extensions which illustrate such advanced
topics as the irrationality of and e, the solution of the Basel
problem, Leibniz's series and Wallis's product. The author's
accessible and engaging manner will appeal to a wide audience,
including students, teachers and self-learners. The book can serve
as a complete introduction to finding elementary integrals, or as a
supplementary text for any beginning course in calculus.
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