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Loop Spaces, Characteristic Classes and Geometric Quantization
This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Various developments in mathematical physics (e.g., in knot theory, gauge theory, and topological quantum field theory) have led mathematicians and physicists to search for new geometric structures on manifolds and to seek a synthesis of ideas from geometry, topology and category theory. In this spirit, this book develops the differential geometry associated to the topology and obstruction theory of certain fiber bundles (more precisely, associated to grebes). The theory is a 3-dimensional analog of the familiar Kostant--Weil theory of line bundles. In particular the curvature now becomes a 3-form.
Logos of phenomenology and phenomenology of the logos ; Book Two : The Human Condition in-the-Unity-of-Everything-there-is-alive Individuation, Self, Person, Self-determination, Freedom, Necessity
The Human Condition-in-the-unity-of-everything-there-is-alive, under whose aegis the present selection of essays falls, offers the urgently needed new approach to reinvestigating humanness. While recent advances in the neurosciences, genetics and bio-engineering challenge the traditional abstract conception of "human nature", indicating its transformability, thus putting in question the main tenets of traditional philosophical anthropology, in the new perspective of the Human Creative Condition the human individual is seen in its emergence and unfolding within the dynamic networks of the logos of life, and within the evolution of living types.
Logos of phenomenology and phenomenology of the logos ; Book Three : Logos of history - logos of life, historicity, time, nature, communication, consciousness, Aalterity, Cculture
Situated at the crossroads of nature and culture, physics and consciousness, cosmos and life, history – intimately conjoined with time – continues to puzzle the philosopher as well as the scientist. Does brute nature unfold a history? Does human history have a telos? Does human existence have a purpose, Phenomenology of life projects a new interrogative system for reexamining these questions.We are invited to follow the logos of life as it spins in innumerable ways the interplay of natural factors, human passions, social forces, science and experience – through interruptions and kairic moments of accomplishment .
Logica Universalis : Towards a General Theory of Logic
Signifies the arrival of a new renaissance in logic, a new revival not only of logic, but of the vision of logic as a unifying tool for science as a whole, including mathematics, physics, cosmology, computer science and AI. The book and the vision behind it give logic, conceived as a scientific study of rationality, new unifying power, new perspectives, and new horizons.Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence operations and logical matrices. The subject was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity.
Logic in Reality
The interface of logic, philosophy and science. It is intended for readers with interest and/or current involvement in process philosophy, ontology and in the philosophy or metaphysical aspects of science, especially, quantum physics, biology and cosmology. The content requires competence in reasoning, but not detailed knowledge of the fields discussed.
Local-Moment Ferromagnets : Unique Properties for Modern Applications
Some ferromagnetic materials with localized magnetic moments have become a hot topic in modern solid-state physics because of their potential applications, e.g. in spintronic devices. The magnetic systems of interest comprise diluted magnetic semiconductors and half-metallic ferromagnets. Like conventional concentrated local-moment systems, they are characterized by an exchange interaction between localized magnetic moments and quasi-free charge carriers. The current research on local-moment ferromagnetism is reviewed in a tutorial style by leading experts in this field. Experimentalists present the latest approaches to characterize the unique material properties, and theoreticians propose definitive ideas to explain the observed phenomena. Students and researches alike will benefit from this status report.
Lise Meitner and the Dawn of the Nuclear Age
Documenting the extraordinary life of an aspiring woman scientist whose life was filled with adversity. Surviving both World Wars and gender discrimination, Meitner was a pioneer at the forefront of her discipline involving the study of radio-elements and nuclear fission.
Linearization Methods for Stochastic Dynamic Systems
The aim of this book is to give a systematic introduction to and overview of the relatively simple and popular linearization methods available. The scope is limited to models with continous external and parametric excitations, yet these cover the majority of known approaches. The book contains an application chapter with emphasis on vibration analysis of stochastic mechanical structures as well as a chapter devoted to the assessment of the accuracy of the theoretical methods presented, both with respect to numerical and to experimental studies.
Linear Systems Control : Deterministic and Stochastic Methods
Modern control theory and in particular state space or state variable methods can be adapted to the description of many different systems because it depends strongly on physical modeling and physical intuition. The laws of physics are in the form of differential equations and for this reason, this book concentrates on system descriptions in this form. This means coupled systems of linear or nonlinear differential equations. The physical approach is emphasized in this book because it is most natural for complex systems. It also makes what would ordinarily be a difficult mathematical subject into one which can straightforwardly be understood intuitively and which deals with concepts which engineering and science students are already familiar.
Linear Partial Differential Equations for Scientists and Engineers
This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications.
Linear Functional Analysis
This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations.
Linear Algebra Thoroughly Explained
Linear Algebra Thoroughly Explained provides a comprehensive introduction to the subject suitable for adoption as a self-contained text for courses at undergraduate and postgraduate level. The clear and comprehensive presentation of the basic theory is illustrated throughout with an abundance of worked examples. The book is written for teachers and students of linear algebra at all levels and across mathematics and the applied sciences, particularly physics and engineering.
Light Scattering Reviews 3 : Light Scattering and Reflection
Ddevoted to modern knowledge and milestones in both experimental and theoretical techniques related to light scattering and radiative transport problems. It will consist of 3 parts comprising 11 contributions written by world leading experts in their respective fields. The general focus of the book will be on remote sensing of geophysical media. The first part will be devoted exclusively to studies of single light scattering by particles of different shapes and chemical compositions. The first chapter will review in situ measurements of cloud optical characteristics like cloud extinction and phase function, with the emphasis on ice clouds. Chapter 2 will cover opitcally soft particles common in marine environments and bio-suspensions while Chapter 3 will describe numerical techniques applicable not only to isotropic but also to chiral and anisotropic mdia. The final chapter in this part will deal with spatial symmetries in light scattering problems.
Light Scattering Reviews 2
Part of the ""Light Scattering Reviews"" series that is devoted to modern knowledge and milestones in both experimental and theoretical techniques related to light scattering and radiative transport problems. This work gives a picture of developments in the area of remote sensing and radiative transfer.
Light Scattering Reviews
Light Scattering Reviews is the first book in a series devoted to bringing together the state-of-the-art and milestones in our knowledge of light scattering media optics (LSMO). Contributions from leading researchers focus on both the theoretical and experimental results in the area. The book provides a valuable picture of recent developments in light scattering. It facilitates studies in LSMO and will be of great importance for researchers in a variety of disciplines. Divided into three parts, this volume first discusses single light scattering, followed by multiple light scattering and finally looks at the possible applications in combustion and marine research.
Light Scattering in Solids IX : Novel Materials and Techniques
Reviews recent developments concerning mainly semiconductor nanostructures and inelastic x-ray scattering, including both coherent time-domain and spontaneous scattering studies.
Light scattering by systems of particles : Null-field method with discrete sources : Theory and programs
Light Scattering by Systems of Particles comprehensively develops the theory of the null-field method, while covering almost all aspects and current applications. The "Null-field Method with Discrete Sources" is an extension of the Null-field Method (also called T-Matrix Method) to compute light scattering by arbitrarily shaped dielectric particles. This book incorporates FORTRAN programs and exemplary simulation results that demonstrate all aspects of the latest developments of the method. Worked examples of the application of the FORTRAN programs show readers how to adapt or modify the programs for their specific application.
Light Scattering by Optically Soft Particles: Theory and Applications
Deals with a particular class of approximation methods in the context of light scattering by small particles. This class of approximations has been termed as eikonal or soft particle approximations. The eikonal approximation was studied extensively in the potential scattering and then adopted in optical scattering problems. In this context, the eikonal and other soft particle approximations pertain to scatterers whose relative refractive index compared to surrounding medium is close to unity. The study of these approximations is very important because soft particles occur abundantly in nature. For example, the particles that occur in ocean optics, biomedical optics, atmospheric optics and in many industrial applications can be classified as soft particles. This book was written in recognition of the long-standing and current interest in the field of scattering approximations for soft particles. It should prove to be a useful addition for researchers in the field of light scattering.
Light earth building : a handbook for building with wood and earth
Light clay, which is light in weight and easy to work, is presented here as a versatile and forward-looking building material for modern computer-aided timber construction and the renewal of historic timber-framed buildings with clay infill. The balanced building physics properties of the material, which can be controlled through the mixing proportions, make it suitable for resource-efficient building in various different climate zones. Thermal storage, sound insulation, protection against moisture and fire in conventional timber construction are improved, and the construction is simplified.
Light and Light Sources : High-Intensity Discharge Lamps
Light and Light Sources gives an introduction to the working principles of high-intensity discharge (HID) lamps and points out challenges and problems associated with the development and operation of HID lamps. The state-of-the-art in electrode and plasma diagnostics as well as numerical methods used for the understanding of HID lamps are described. This volume addresses students as well as scientists and researchers at universities and in industry.
