Explorations in Mathematical Physics : The Concepts Behind an Elegant Language
This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You'll see how the accelerated frames of special relativity tell us about gravity. On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.
Essential Topology
Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated ""Hairy Ball theorem"" and on to homotopy and homology: the cornerstones of contemporary algebraic topology. While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research.
Espaces vectoriels topologiques : Chapitres 1à 5 = Topological vector spaces : Chapters 1 to 5
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This book is the fifth of the treatise; it is devoted to the basics of functional analysis. It contains in particular the Hahn-Banach theorem and the Banach-Steinhaus theorem.
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).
Enhanced Living Environments : Algorithms, Architectures, Platforms, and Systems
Ambient Assisted Living (AAL) is an area of research based on Information and Communication Technologies (ICT), medical research, and sociological research. AAL is based on the notion that technology and science can provide improvements in the quality of life for people in their homes, and that it can reduce the financial burden on the budgets of the healthcare providers. The concept of Enhanced Living Environments (ELE) refers to the AAL area that is more related with ICT. Effective ELE solutions require appropriate ICT algorithms, architectures, platforms, and systems, having in view the advance of science in this area and the development of new and innovative solutions. The aim of this book is to become a state-of-the-art reference, discussing progress made, as well as prompting future directions on theories, practices, standards, and strategies related to the ELE area.
Engineering thermofluids : Thermodynamics, fluid mechanics, and heat transfer
The "Engineering Thermofluids" is a unique textbook, which brings the three pillars of thermal sciences; thermodynamics, fluid mechanics, and heat transfer under one umbrella. These three distinct, yet intertwined subjects are treated in an integrated manner. The primary audiences for this book are senior undergraduate, graduate, and practicing engineers in the fields of aeronautical, chemical industrial, mechanical, and nuclear engineering. Topics are discussed in detail while still using a simple and easy to follow approach. Numerous walk-through examples are solved and illustrations are provided to guide the reader through more subtle topics
Empire under the microscope : Parasitology and the British literary imagination, 1885–1935
This book considers science and empire, and the stories we tell ourselves about them. Emilie Taylor-Pirie examines a wealth of archival material including medical lectures, scientific publications, popular biography, and personal and professional correspondence, alongside novels, poems, newspaper articles, and political speeches, to excavate the shared vocabularies of literature and medicine. She demonstrates how forms such as poetry and biography; genres such as imperial romance and detective fiction; and modes such as adventure and the Gothic, together informed how tropical diseases, their parasites, and their vectors, were understood in relation to race, gender, and nation.
Emerging Topics in Heat and Mass Transfer in Porous Media : From Bioengineering and Microelectronics to Nanotechnology
This book provides a unique collection of articles reviewing the state-of-the-art in the field of heat and mass transfer in porous media with particular emphasis to emerging technologies, from bioengineering and bio-tissues and microelectronics to nanotechnology.
Elevating video content creation with ai assistance = ارتقاء إنشاء محتوى الفيديو بمساعدة الذكاء الاصطناعي
We developed an AI Assistant equipped with features such as description crafting, title generation, keyword extraction, image captioning, clickbait detection, and sentiment analysis.To achieve these functionalities, we proposed a model for generating video descriptions using ResNet50 as a feature extractor and a LSTM network with an attention mechanism as a sequence generator, achieving a BLEU-1 score of 0.907 and a ROUGE-L score of 0.645. For keyword extraction, we utilized Sentence Transformer to identify strategically relevant keywords from the generated descriptions. For title generation, we fine-tuned the BART model, achieving a ROUGE-L score of 0.45. For clickbait detection, we used SVC classifier with linear kernel and TF-IDF vectorization for feature extraction, resulting in 96% accuracy. Our sentiment analysis model using a CNN-LSTM architecture achieved 80% accuracy in analyzing comments on videos. For image captioning, we employed a feature extractor with a CNN layer followed by an LSTM model, achieving a BLEU-1 score of 0.53. Our platform empowers creators by simplifying complex tasks and offering deeper audience engagement insights, making it a powerful tool in the evolving digital content creation.
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.
Eléments de Mathématique. Intégration : Chapitre 9 Intégration sur les espaces topologiques séparés
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This ninth chapter of the Book of Integration, sixth Book of the elements of mathematics, is devoted to the integration in separate topological spaces not necessarily locally compact, which allows to extend the theory of the Fourier transformation to locally convex vector spaces .
Drying of Porous Materials
This book provides recent advances in research on drying of saturated particulates and porous materials. The present volume is based on the selected papers presented at the XI Polish Drying Symposium 2005. The selected contributions cover theoretical modeling as well as experimental research on heat and mass transfer in porous and multiphase media during drying. The comprehensiveness and profound treatment of the subject makes this book an excellent pioneering contribution to the science and technology of drying of particulate solids.
Double-stranded RNA : Methods and protocols
Examines classical and cutting-edge methods involving double-stranded RNA (dsRNA), specifically regarding isolation, visualization, characterization, production, and application. Many protocols, such as co-immunoprecipitation-based isolation of double-stranded RNA-associated protein complexes, identification of mycoviruses by dsRNA extraction, application of dsRNA for fungi disease management (Sclerotinia sclerotiorum and Botrytis cin), and production of double-stranded RNA in plants by plant viral vectors for gene silencing, can also be easily adapted for identification of viruses from other organisms, control of other pathogens, and fundamental research. Written for the highly successful Methods in Molecular Biology series, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step and readily reproducible laboratory protocols, as well as tips for troubleshooting and avoiding known pitfalls.
DNA vaccines : Methods and protocols
Details practical procedures on the latest DNA vaccine technology. Chapters guide readers through methods and protocols on DNA vaccine design, the adjuvant influence, production and purification methodologies, delivery systems, and approaches of the influence of DNA vaccines in the immunological response performance and in the cancer immunotherapy. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.
Discrete-Time Markov Chains : Two-Time-Scale Methods and Applications
The motivation stems from existing and emerging applications in optimization and control of complex hybrid Markovian systems in manufacturing, wireless communication, and financial engineering. Much effort in this book is devoted to designing system models arising from these applications, analyzing them via analytic and probabilistic techniques, and developing feasible computational algorithms so as to reduce the inherent complexity. This book presents results including asymptotic expansions of probability vectors, structural properties of occupation measures, exponential bounds, aggregation and decomposition and associated limit processes, and interface of discrete-time and continuous-time systems. One of the salient features is that it contains a diverse range of applications on filtering, estimation, control, optimization, and Markov decision processes, and financial engineering.
Discontinuous Galerkin Methods for Viscous Incompressible Flow
Guido Kanschat reviews several discontinuous Galerkin schemes for elliptic and viscous flow problems. Setting out from Nitsche's method for weak boundary conditions, he studies the interior penalty and LDG methods. Combined with a stable advection discretization, they yield stable DG methods for linear flow problems of Stokes and Oseen type which are applied to the Navier-Stokes problem. The author not only presents the analytical techniques used to study these methods but also devotes a major discussion to the efficient numerical solution of discrete problems.
Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer
Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer offers its readers a systematic and practical introduction to the discontinuous finite element method. It moves from a brief review of the fundamental laws and equations governing thermal and fluid systems, through a discussion of different approaches to the formulation of discontinuous finite element solutions for boundary and initial value problems, to their applicaton in a variety of thermal-system and fluid-related problems, including: heat conduction problems / convection-dominant problems / computational compressible flows / external radiation problems / internal radiation and radiative transfer / free- and moving-boundary problems / micro- and nanoscale heat transfer and fluid flow / thermal fluid flow under the influence of applied magnetic fields.
Direct Methods in the Calculus of Variations
Studies vectorial problems in the calculus of variations and quasiconvex analysis. It is a new edition of the earlier book published in 1989 and has been updated with some new material and examples added. This monograph will appeal to researchers and graduate students in mathematics and engineering.
Differential Analysis on Complex Manifolds
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
Deterministic and statistical methods in Machine Learning ; 1st International Workshop, Sheffield, UK, September 7-10, 2004. Revised Lectures
This book consitutes the refereed proceedings of the First International Workshop on Machine Learning held in Sheffield, UK, in September 2004. The 19 revised full papers presented were carefully reviewed and selected for inclusion in the book. They address all current issues in the rapidly maturing field of machine learning that aims to provide practical methods for data discovery, categorisation and modelling. The particular focus of the workshop was advanced research methods in machine learning and statistical signal processing.



















