Mathematical Reviews
Author:
Publisher:
Published: 2001
Total Pages: 770
ISBN-13:
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A First Course in Loop Quantum Gravity
Author: Rodolfo Gambini
Publisher: OUP Oxford
Published: 2011-09-22
Total Pages: 192
ISBN-13: 0191003239
DOWNLOAD EBOOKThis book provides an accessible introduction to loop quantum gravity and some of its applications, at a level suitable for undergraduate students and others with only a minimal knowledge of college level physics. In particular it is not assumed that the reader is familiar with general relativity and only minimally familiar with quantum mechanics and Hamiltonian mechanics. Most chapters end with problems that elaborate on the text, and aid learning. Applications such as loop quantum cosmology, black hole entropy and spin foams are briefly covered. The text is ideally suited for an undergraduate course in the senior year of a physics major. It can also be used to introduce undergraduates to general relativity and quantum field theory as part of a 'special topics' type of course.
Loop Quantum Gravity
Author: Abhay Ashtekar
Publisher: World Scientific Publishing Company
Published: 2017
Total Pages: 0
ISBN-13: 9789813209923
DOWNLOAD EBOOK"Over the last decade, several important advances have occurred, that include the continuum and classical limit of the non-perturbative theory on the conceptual side, and concrete ideas on confronting quantum gravity with observations in cosmology. This volume takes the reader from basics to recent advances, thereby bridging an important gap. It presents a snapshot of the state-of-the-art in loop quantum gravity from the perspective of young leading researchers. The goal is two-fold: to provide a contemporary introduction to the entire field for students and post-docs and, an overview of the current status for more senior researchers. These overviews present the latest developments that are not discussed in existing books, particularly the applications to the cosmology of the early universe and quantum aspects of black holes"--
Evolution Equations
Author: Kaïs Ammari
Publisher: Cambridge University Press
Published: 2018
Total Pages: 205
ISBN-13: 1108412300
DOWNLOAD EBOOKThe proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.
Calabi-Yau Varieties and Mirror Symmetry
Author: Noriko Yui
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 385
ISBN-13: 0821833553
DOWNLOAD EBOOKThe idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods. One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory.
Cohomological and Geometric Approaches to Rationality Problems
Author: Fedor Bogomolov
Publisher: Springer Science & Business Media
Published: 2009-11-03
Total Pages: 316
ISBN-13: 0817649344
DOWNLOAD EBOOKRationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov
Science
Author: John Michels (Journalist)
Publisher:
Published: 1992
Total Pages: 1052
ISBN-13:
DOWNLOAD EBOOKElements of Numerical Relativity
Author: Carles Bona
Publisher: Springer Science & Business Media
Published: 2005-07-07
Total Pages: 168
ISBN-13: 9783540257790
DOWNLOAD EBOOKSpurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.
Our Creative Diversity
Author: World Commission on Culture and Development
Publisher:
Published: 1996
Total Pages: 314
ISBN-13:
DOWNLOAD EBOOKExplores the interactions between culture and development and puts forward proposals in the form of an international agenda aimed at motivating people to recognize cultural challenges.
