الصفحة 21
الصفحة 21
Equilibrium statistical physics : Phases of matter and phase transitions
This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The latter include the renormalisation group approach to critical phenomena, the density functional theory of interfaces, the topological defects of nematic liquid crystals and the kinematic aspects of the phase transformation process. This textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. References include suggestions for more detailed treatments and four appendices supply overviews of the mathematical tools employed in the text.
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."
Environmental valuation with discrete choice experiments : Guidance on design, implementation and data analysis
This book offers up-to-date advice and practical guidance on how to undertake a discrete choice experiment as a tool for environmental valuation. It discusses crucial issues in designing, implementing and analysing choice experiments. Compiled by leading experts in the field, the book promotes discrete choice analysis in environmental valuation through a more solid scientific basis for research practice. Instead of providing strict guidelines, the book helps readers avoid common mistakes often found in applied work. It is based on the collective reflections of the scientific network of researchers using discrete choice modelling in the field of environmental valuation (www.envecho.com).
Environmental Modeling : Using MATLAB®
“Environmental Modeling using MATLAB R ” by Ekkehard Holzbecher is an excellent publication and a novel approach covering the intersection of two important, growing worlds – the world of environmental modeling and of mathematical software. Environmental modeling is a science that uses mathematics and comp- ers to simulate physical and chemical phenomena in the environment (e.g., environmental pollution).
Enumerative Invariants in Algebraic Geometry and String Theory : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 6–11, 2005
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
Entropy Methods for the Boltzmann Equation : Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001
Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Ensembles ordonnés finis : concepts, résultats et usages = Finite ordered sets : concepts, results and uses
The concepts of order, classification, storage are presented in many activities and human situations. The mathematical formalization of these notions first allowed the great development of the theory of lattices, then that of more general ordered structures, in particular those relating to discrete mathematics.
Ennio De Giorgi : Selected Papers
The book contains a selection of 43 scientific papers by the great mathematician Ennio De Giorgi (1928-1996), which display the broad range of his achievements and his entire intellectual career as a problem solver and as a proponent of deep and ambitious mathematical theories. All papers are written in English and 17 of them appear also in their original Italian version in order to give an impression of De Giorgi’s original style. The editors also provide a short biography of Ennio De Giorgi and a detailed account of his scientific achievements, ranging from his seminal paper on the solution of Hilbert’s 19th problem to the theory of perimeter and minimal surfaces, the theory of G-convergence and the foundations of mathematics.
Engineering theories of software intensive systems : Theory, algorithms, software, and applications
Software engineering has over the years been applied in many different fields, ranging from telecommunications to embedded systems in car and aircraft industry as well as in production engineering and computer networks. Foundations in software technology lie in models allowing to capture application domains, detailed requirements, but also to understand the structure and working of software systems like software architectures and programs. These models have to be expressed in techniques based on discrete mathematics, algebra and logics. However, according to the very specific needs in applications of software technology, formal methods have to serve the needs and the quality of advanced software engineering methods, especially taking into account security aspects in Information Technology. This book presents mathematical foundations of software engineering and state-of-the-art engineering methods in their theoretical substance in the step towards practical applications to examine software engineering techniques and foundations used for industrial tasks.
Emergent Nonlinear Phenomena in Bose-Einstein Condensates : Theory and Experiment
This book, written by experts in the fields of atomic physics and nonlinear science, consists of reviews of the current state of the art at the interface of these fields, as is exemplified by the modern theme of Bose-Einstein condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; manipulation of condensates; mathematical methods/rigorous results; and aspects beyond the mean field approach. A distinguishing feature of the contents is the detailed incorporation of both the experimental and theoretical viewpoints through subsections of the relevant chapters.
Emergent Computation : Emphasizing Bioinformatics
Emergent Computation is concerned with recent applications of Mathematical Linguistics or Automata Theory. This subject has a primary focus upon ""Bioinformatics"" (the Genome and arising interest in the Proteome), but the closing chapter also examines applications in Biology, Medicine, Anthropology, etc. The book is composed of an organized examination of DNA, RNA, and the assembly of amino acids into proteins. Rather than examine these areas from a purely mathematical viewpoint (that excludes much of the biochemical reality), the author uses scientific papers written mostly by biochemists based upon their laboratory observations. Thus while DNA may exist in its double stranded form, triple stranded forms are not excluded. Similarly, while bases exist in Watson-Crick complements, mismatched bases and abasic pairs are not excluded, nor are Hoogsteen bonds. Just as there are four bases naturally found in DNA, the existence of additional bases is not ignored, nor amino acids in addition to the usual complement of 20. Can there be more than ""64"" possible codons? RNA is examined from the point of view of Nussinov plots.
EM Modeling of Antennas and RF Components for Wireless Communication Systems
The book focuses on the practical aspects of computational electrodynamics. A short review of electromagnetic field theory and an illustrative introduction to basic concepts of numerical methods provide the mathematical and physical background. The main part the book guides the reader step-by-step through the modelling process: from the initial "what question shall the model answer?", through the setting up of a computer model by creating geometry, boundary conditions, sources, …, to post processing, validation, and optimization. A number of antenna and filter examples demonstrate the advantages and disadvantages of different numerical methods. So the book provides a realistic view on the capabilities and limits of state-of-the-art 3D-field simulators and on how to apply this knowledge efficiently to EM analysis and designing of RF applications in modern communication systems.
Elements of Mathematics for Economics and Finance
Based on over 15 years’ experience in the design and delivery of successful first-year courses, this book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management and business studies. The book starts with a summary of basic skills and takes its readers as far as constrained optimisation helping them to become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems in economics and finance
Elements for Physics : Quantities, Qualities, and Intrinsic Theories
While usual presentations of physical theories emphasize the notion of physical quantity, this book shows that there is much to gain when introducing the notion of physical quality. The usual physical quantities simply appear as coordinates over the manifolds representing the physical qualities. This allows to develop physical theories that have a degree of invariance much deeper than the usual one. It is shown that properly developed physical theories contain logarithms and exponentials of tensors: their conspicuous absence in usual theories suggests, in fact, that the fundamental invariance principle stated in this book is lacking in present-day mathematical physics. The book reviews and extends the theory if Lie groups, develops differential geometry, proposing compact definitions of torsion and of curvature, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. As an illustration, two simple theories are studied with some detail, the theory of heat conduction and the theory of linear elastic media. The equations found differ quantitatively and qualitatively from those usually presented.
Eléments dhistoire des mathématiques = Elements of the history of mathematics
Brings together the historical notes published in the various books of mathematics elements by the author. They therefore concern all the matters covered in this treaty: set theory, algebra, topology, functions of a variable real, topological vector spaces, integration, commutative algebra, groups and Lie algebras. Composed of initially separate studies, this work does not claim to sketch a followed and complete history of development of mathematics. The interweaving of the different themes and the unity of the point of view ensure the deep consistency.
Elementi di fluidodinamica : Un'introduzione per l'Ingegneria = Elements of fluid dynamics : An introduction for engineering
The text offers a first approach to fluid dynamics, at an appropriate formal level. It emphasizes mathematical and numerical approaches to problems, encouraging the reader to acquire sufficient cultural independence for further study.
Elementi di fisica teorica = Elements of theoretical physics
The approach in this book is less formal than traditional Theoretical Physics Foundations courses. The goal is still to achieve a genuine understanding of physical concepts and the ability to independently solve problems. The style is conversational, with abundant examples, and the presentation of all important steps is detailed, answering all the questions students typically ask in advance. The author has given space to recent and interesting developments, such as the scanning tunneling microscope and quantum cryptography. He has always sought to explain the rationale behind mathematical manipulations and the physical meaning of all measurable quantities. Above all, he has emphasized the aspects that make Theoretical Physics a science full of practical implications and a particularly fascinating intellectual adventure.
Elektromagnetische feldtheorie : für ingenieure und physiker = Electromagnetic field theory : For engineers and physicists
This well-established, didactically excellent textbook combines clarity with extraordinary accuracy in the formation of terms and in the derivations. The electromagnetic field theory and the mathematical methods required for it are taught. Maxwell's equations are presented and explained. This is followed by explanations about electrostatics, flow problems, magnetostatics, quasi-stationary fields and electromagnetic waves. It gives an outlook on fundamental questions, some of which are still open, from physics to quantum mechanics. A chapter on the special theory of relativity, with the help of which numerous problems of electromagnetic field theory can be solved more easily, rounds off the work.
Electronic Imaging in Astronomy : Detectors and Instrumentation
The second edition of Electronic Imaging in Astronomy: Detectors and Instrumentation describes the remarkable developments that have taken place in astronomical detectors and instrumentation in recent years – from the invention of the charge-coupled device (CCD) in 1970 to the current era of very large telescopes, such as the Keck 10-meter telescopes in Hawaii with their laser guide-star adaptive optics which rival the image quality of the Hubble Space Telescope. Authored by one of the world’s foremost experts on the design and development of electronic imaging systems for astronomy, this book has been written on several levels to appeal to a broad readership. Mathematical expositions are designed to encourage a wider audience, especially among the growing community of amateur astronomers with small telescopes with CCD cameras.
Electronic Commerce : Theory and Practice
This book addresses new trends and innovative aspects in electronic commerce research, including B2B (business to business), B2C (business to customers), Supply Chain Management, Business Process Management, Agent-based E-Commerce, E-Commerce Intelligence, Decision Support Systems, Web Services, Agents and Economic Incentives, Auctions and Negotiations, Case Study in E-Commerce, and so on.
