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This book provides an accessible, yet thorough, introduction to
special and general relativity, crafted and class-tested over many
years of teaching. Suitable for advanced undergraduate and graduate
students, this book provides clear descriptions of how to approach
the mathematics and physics involved. It is also contains the
latest exciting developments in the field, including dark energy,
gravitational waves, and frame dragging. The table of contents has
been carefully developed in consultation with a large number of
instructors teaching courses worldwide, to ensure its wide
applicability to modules on relativity and gravitation. Features: A
clear, accessible writing style, presenting a sophisticated
approach to the subject, that remains suitable for advanced
undergraduate students and above Class-tested over many years To be
accompanied by a partner volume on 'Advanced Topics' for students
to further extend their learning
This book provides an accessible yet thorough introduction to
thermodynamics, crafted and class-tested over many years of
teaching. Suitable for advanced undergraduate and graduate
students, this book delivers clear descriptions of how to think
about the mathematics and physics involved. The content has been
carefully developed in consultation with a large number of
instructors, teaching courses worldwide, to ensure wide
applicability to modules on thermodynamics. Modern applications of
thermodynamics (in physics and related areas) are included
throughout-something not offered to the same degree by existing
texts in the field. Features: A sophisticated approach to the
subject that is suitable for advanced undergraduate students and
above Modern applications of thermodynamics included throughout To
be followed by volumes on statistical mechanics, which can be used
in conjunction with this book on courses which cover both
thermodynamics and statistical mechanics
This book provides an accessible yet thorough introduction to
thermodynamics, crafted and class-tested over many years of
teaching. Suitable for advanced undergraduate and graduate
students, this book delivers clear descriptions of how to think
about the mathematics and physics involved. The content has been
carefully developed in consultation with a large number of
instructors, teaching courses worldwide, to ensure wide
applicability to modules on thermodynamics. Modern applications of
thermodynamics (in physics and related areas) are included
throughout-something not offered to the same degree by existing
texts in the field. Features: A sophisticated approach to the
subject that is suitable for advanced undergraduate students and
above Modern applications of thermodynamics included throughout To
be followed by volumes on statistical mechanics, which can be used
in conjunction with this book on courses which cover both
thermodynamics and statistical mechanics
This book provides an accessible, yet thorough, introduction to
special and general relativity, crafted and class-tested over many
years of teaching. Suitable for advanced undergraduate and graduate
students, this book provides clear descriptions of how to approach
the mathematics and physics involved. It is also contains the
latest exciting developments in the field, including dark energy,
gravitational waves, and frame dragging. The table of contents has
been carefully developed in consultation with a large number of
instructors teaching courses worldwide, to ensure its wide
applicability to modules on relativity and gravitation. Features: A
clear, accessible writing style, presenting a sophisticated
approach to the subject, that remains suitable for advanced
undergraduate students and above Class-tested over many years To be
accompanied by a partner volume on 'Advanced Topics' for students
to further extend their learning
Physics is expressed in the language of mathematics; it is deeply
ingrained in how physics is taught and how it's practiced. A study
of the mathematics used in science is thus asound intellectual
investment for training as scientists and engineers. This first
volume of two is centered on methods of solving partial
differential equations (PDEs) and the special functions introduced.
Solving PDEs can't be done, however, outside of the context in
which they apply to physical systems. The solutions to PDEs must
conform to boundary conditions, a set of additional constraints in
space or time to be satisfied at the boundaries of the system, that
small part of the universe under study. The first volume is devoted
to homogeneous boundary-value problems (BVPs), homogeneous implying
a system lacking a forcing function, or source function. The second
volume takes up (in addition to other topics) inhomogeneous
problems where, in addition to the intrinsic PDE governing a
physical field, source functions are an essential part of the
system. This text is based on a course offered at the Naval
Postgraduate School (NPS) and while produced for NPS needs, it will
serve other universities well. It is based on the assumption that
it follows a math review course, and was designed to coincide with
the second quarter of student study, which is dominated by BVPs but
also requires an understanding of special functions and Fourier
analysis.
Physics is expressed in the language of mathematics; it is deeply
ingrained in how physics is taught and how it's practiced. A study
of the mathematics used in science is thus asound intellectual
investment for training as scientists and engineers. This first
volume of two is centered on methods of solving partial
differential equations (PDEs) and the special functions introduced.
Solving PDEs can't be done, however, outside of the context in
which they apply to physical systems. The solutions to PDEs must
conform to boundary conditions, a set of additional constraints in
space or time to be satisfied at the boundaries of the system, that
small part of the universe under study. The first volume is devoted
to homogeneous boundary-value problems (BVPs), homogeneous implying
a system lacking a forcing function, or source function. The second
volume takes up (in addition to other topics) inhomogeneous
problems where, in addition to the intrinsic PDE governing a
physical field, source functions are an essential part of the
system. This text is based on a course offered at the Naval
Postgraduate School (NPS) and while produced for NPS needs, it will
serve other universities well. It is based on the assumption that
it follows a math review course, and was designed to coincide with
the second quarter of student study, which is dominated by BVPs but
also requires an understanding of special functions and Fourier
analysis.
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