الصفحة 2
الصفحة 2
Differential Geometry and Analysis on CR Manifolds
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. While the PDE and complex analytic aspects have been intensely studied in the last fifty years, much effort has recently been made to understand the differential geometric side of the subject. This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. It presents the major differential geometric acheivements in the theory of CR manifolds, such as the Tanaka–Webster connection, Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang–Mills fields on CR manifolds, to name a few. It also aims at explaining how certain results from analysis are employed in CR geometry.Motivated by clear exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory.
Mathematical Implications of Einstein-Weyl Causality
The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures does Einstein-Weyl causality impose on a point-set that has no other previous structure defined on it? The authors propose an axiomatization of Einstein-Weyl causality (inspired by physics), and investigate the topological and uniform structures that it implies. Their final result is that a causal space is densely embedded in one that is locally a differentiable manifold. The mathematical level required of the reader is that of the graduate student in mathematical physics.
Compact objects in astrophysics : White dwarfs, neutron stars and Black Holes
Camenzind's Compact Objects in Astrophysics gives a comprehensive introduction and up-to-date overview about the physical processes behind these objects, covering the field from the beginning to most recent results, including all relevant observations.
Buchi neri nel mio bagno di schiuma : L’enigma di Einstein = Black holes in my bubble bath : Einstein's riddle
Einstein's Enigma, or black holes in my foam bath, tells the story of the theory of gravitation, from its beginnings to the latest developments in astrophysics, focusing on Albert Einstein's theory of general relativity and the physics of black holes. Through engaging conversations and diagrams scribbled on paper napkins, the rudiments of relativity, space-time and many aspects of modern physics follow one another. In skits narrated with pedagogical skill and remarkable literary talent, the reader will come across the informal lessons that a cosmopolitan astrophysicist gives to his friend Alfie, a free lance organizer of research projects. Join in the intellectual fun and get excited with sparkling ideas, while with your imagination you enjoy a relaxing soak in this magical tub!
Best practices in software measurement : How to use metrics to improve project and process performance
Not everything that counts can be counted. Not everything that is counted counts. Albert Einstein This is a book about software measurement from the practitioner’s point of view and it is a book for practitioners. Software measurement needs a lot of practical guidance to build upon experiences and to avoid repeating errors. This book t- gets exactly this need, namely to share experiences in a constructive way that can be followed. It tries to summarize experiences and knowledge about software measurement so that it is applicable and repeatable. It extracts experiences and lessons learned from the narrow context of the specific industrial situation, thus facilitating transfer to other contexts. Software measurement is not at a standstill. With the speed software engine- ing is evolving, software measurement has to keep pace. While the underlying theory and basic principles remain invariant in the true sense (after all, they are not specific to software engineering), the application of measurement to specific contexts and situations is continuously extended. The book thus serves as a ref- ence on these invariant principles as well as a practical guidance on how to make software measurement a success.
Approaches to Fundamental Physics : An Assessment of Current Theoretical Ideas
This book presents contributions on particle theory, quantum field theory, general relativity, quantum gravity, string theory and cosmology. These represent the outcome of numerous discussions, taking place among the authors over a period of several years, about the research landscape of present-day fundamental theoretical physics. Indeed, the resultant book documents their attempt, out of their respective and highly specialized scientific positions, to find a way of communicating about methods, achievements and promises of the different approaches which shape the development of this field. It is therefore also an attempt to elucidate the connections between these approaches, and present them not as disjoint ventures but rather as facets of a common quest for understanding. Readers interested in fundamental approaches of theoretical physics will find this book highly stimulating and enlightening.
An Introduction to the Relativistic Theory of Gravitation
The geometric interpretation of gravitation is one of the major foundations of modern theoretical physics. This primer introduces classical general relativity with emphasis on the clarity of conceptual structure and on the basic mathematical methods to build up systematically application skills. The wealth of physical phenomena entailed by the Einstein‘s equations is revealed with the help of specific models describing gravitomagnetism, gravitational waves, cosmology, gravitational collapse and black holes. End-of-chapter exercises complete the main text.
100 years of relativity : Space-time structure - Einstein and beyond
Contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century.
