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Einstein's general theory of relativity is introduced in this
advanced undergraduate and beginning graduate level textbook.
Topics include special relativity, in the formalism of Minkowski's
four-dimensional space-time, the principle of equivalence,
Riemannian geometry and tensor analysis, Einstein field equation,
as well as many modern cosmological subjects, from primordial
inflation and cosmic microwave anisotropy to the dark energy that
propels an accelerating universe.
The author presents the subject with an emphasis on physical
examples and simple applications without the full tensor apparatus.
The reader first learns how to describe curved spacetime. At this
mathematically more accessible level, the reader can already study
the many interesting phenomena such as gravitational lensing,
precession of Mercury's perihelion, black holes, and cosmology. The
full tensor formulation is presented later, when the Einstein
equation is solved for a few symmetric cases. Many modern topics in
cosmology are discussed in this book: from inflation, cosmic
microwave anisotropy to the "dark energy" that propels an
accelerating universe.
Mathematical accessibility, together with the various pedagogical
devices (e.g., worked-out solutions of chapter-end problems), make
it practical for interested readers to use the book to study
general relativity and cosmology on their own.
This is a practical introduction to the principal ideas in gauge
theory and their applications to elementary particle physics. It
explains technique and methodology with simple exposition backed up
by many illustrative examples. Derivations, some of well known
results, are presented in sufficient detail to make the text
accessible to readers entering the field for the first time. The
book focuses on the strong interaction theory of quantum
chromodynamics and the electroweak interaction theory of Glashow,
Weinberg, and Salam, as well as the grand unification theory,
exemplified by the simplest SU(5) model. Not intended as an
exhaustive survey, the book nevertheless provides the general
background necessary for a serious student who wishes to specialize
in the field of elementary particle theory. Physicists with an
interest in general aspects of gauge theory will also find the book
highly useful.
Gauge theory of elementary particle physics was first published in 1984 and has become a standard textbook in the subject. This companion volume provides graduate students with problems and solutions, enabling them to learn the calculational techniques necessary to understand the research literature. Several new topics are also included and the presentation is self-contained, making the book suitable even for those not familiar with the main book.
Einstein's general theory of relativity is introduced in this
advanced undergraduate and beginning graduate level textbook.
Topics include special relativity, in the formalism of Minkowski's
four-dimensional space-time, the principle of equivalence,
Riemannian geometry and tensor analysis, Einstein field equation,
as well as many modern cosmological subjects, from primordial
inflation and cosmic microwave anisotropy to the dark energy that
propels an accelerating universe.
The author presents the subject with an emphasis on physical
examples and simple applications without the full tensor apparatus.
The reader first learns how to describe curved spacetime. At this
mathematically more accessible level, the reader can already study
the many interesting phenomena such as gravitational lensing,
precession of Mercury's perihelion, black holes, and cosmology. The
full tensor formulation is presented later, when the Einstein
equation is solved for a few symmetric cases. Many modern topics in
cosmology are discussed in this book: from inflation, cosmic
microwave anisotropy to the "dark energy" that propels an
accelerating universe.
Mathematical accessibility, together with the various pedagogical
devices (e.g., worked-out solutions of chapter-end problems), make
it practical for interested readers to use the book to study
general relativity and cosmology on their own.
Many regard Albert Einstein as the greatest physicist since Newton.
What exactly did he do that is so important in physics? We provide
an introduction to his physics at a level accessible to an
undergraduate physics student. All equations are worked out in
detail from the beginning. Einstein's doctoral thesis and his
Brownian motion paper were decisive contributions to our
understanding of matter as composed of molecules and atoms.
Einstein was one of the founding fathers of quantum theory: his
photon proposal through the investigation of blackbody radiation,
his quantum theory of photoelectric effect and specific heat, his
calculation of radiation fluctuation giving the first statement of
wave-particle duality, his introduction of probability in the
description of quantum radiative transitions, and finally the
quantum statistics and Bose-Einstein condensation. Einstein's
special theory of relativity gave us the famous E=mc(2) relation
and the new kinematics leading to the idea of the 4-dimensional
spacetime as the arena in which physical events take place.
Einstein's geometric theory of gravity, general relativity, extends
Newton's theory to time-dependent and strong gravitational fields.
It laid the ground work for the study of black holes and cosmology.
This is a physics book with material presented in the historical
context. We do not stop at Einstein's discovery, but carry the
discussion onto some of the later advances: Bell's theorem, quantum
field theory, gauge theories and Kaluza-Klein unification in a
spacetime with an extra spatial dimension. Accessibility of the
material to a modern-day reader is the goal of our presentation.
Although the book is written with primarily a physics readership in
mind (it can also function as a textbook), enough pedagogical
support material is provided that anyone with a solid background in
introductory physics can, with some effort, understand a good part
of this presentation.
This advanced undergraduate text introduces Einstein's general
theory of relativity. The topics covered include geometric
formulation of special relativity, the principle of equivalence,
Einstein's field equation and its spherical-symmetric solution, as
well as cosmology. An emphasis is placed on physical examples and
simple applications without the full tensor apparatus. It begins by
examining the physics of the equivalence principle and looks at how
it inspired Einstein's idea of curved spacetime as the
gravitational field. At a more mathematically accessible level, it
provides a metric description of a warped space, allowing the
reader to study many interesting phenomena such as gravitational
time dilation, GPS operation, light deflection, precession of
Mercury's perihelion, and black holes. Numerous modern topics in
cosmology are discussed from primordial inflation and cosmic
microwave background to the dark energy that propels an
accelerating universe. Building on Cheng's previous book,
'Relativity, Gravitation and Cosmology: A Basic Introduction', this
text has been tailored to the advanced student. It concentrates on
the core elements of the subject making it suitable for a
one-semester course at the undergraduate level. It can also serve
as an accessible introduction of general relativity and cosmology
for those readers who want to study the subject on their own. The
proper tensor formulation of Einstein's field equation is presented
in an appendix chapter for those wishing to glimpse further at the
mathematical details.
This advanced undergraduate text introduces Einstein's general
theory of relativity. The topics covered include geometric
formulation of special relativity, the principle of equivalence,
Einstein's field equation and its spherical-symmetric solution, as
well as cosmology. An emphasis is placed on physical examples and
simple applications without the full tensor apparatus. It begins by
examining the physics of the equivalence principle and looks at how
it inspired Einstein's idea of curved spacetime as the
gravitational field. At a more mathematically accessible level, it
provides a metric description of a warped space, allowing the
reader to study many interesting phenomena such as gravitational
time dilation, GPS operation, light deflection, precession of
Mercury's perihelion, and black holes. Numerous modern topics in
cosmology are discussed from primordial inflation and cosmic
microwave background to the dark energy that propels an
accelerating universe. Building on Cheng's previous book,
'Relativity, Gravitation and Cosmology: A Basic Introduction', this
text has been tailored to the advanced student. It concentrates on
the core elements of the subject making it suitable for a
one-semester course at the undergraduate level. It can also serve
as an accessible introduction of general relativity and cosmology
for those readers who want to study the subject on their own. The
proper tensor formulation of Einstein's field equation is presented
in an appendix chapter for those wishing to glimpse further at the
mathematical details.
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