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Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.

This introduction into the multidisciplinary area of optofluidics offers the necessary foundations in photonics, polymer physics and process analytics to students, engineers and researchers to enter the field. All basic ingredients of a polymer-based platform as a foundation for quick and compact solutions for chemical, biological and medical sensing and manipulation are developed.

Life in all its forms is based on nucleic acids which store and transfer genetic information. The book addresses the main aspects of synthesis, hydrolytic stability, solution equilibria of nucleosides and nucleotides as well as base modifications of nucleic acids. The author further describes their structural analogues used as therapeutic drugs, such as antivirals and anticancer agents, and prodrug strategies of nucleotides.

While there is a plethora of excellent, but mostly "e;tell-it-all'' books on the subject, this one is intended to take a unique place in what today seems to be a still wide open niche for an introductory text on the basics of functional analysis to be taught within the existing constraints of the standard, for the United States, one-semester graduate curriculum (fifteen weeks with two seventy-five-minute lectures per week).a The book consists of seven chapters and an appendix taking the reader from the fundamentals of abstract spaces (metric, vector, normed vector, and inner product), through the basics of linear operators and functionals, the three fundamental principles (the Hahn-Banach Theorem, the Uniform Boundedness Principle, the Open Mapping Theorem and its equivalents: the Inverse Mapping and Closed Graph Theorems) with their numerous profound implications and certain interesting applications, to the elements of the duality and reflexivity theory. Chapter 1 outlines some necessary preliminaries, while the Appendix gives a concise discourse on the celebrated Axiom of Choice, its equivalents (the Hausdorff Maximal Principle, Zorn's Lemma, and Zermello's Well-Ordering Principle), and ordered sets.a Being designed as a text to be used in a classroom, the book constantly calls for the student's actively mastering the knowledge of the subject matter. It contains 112 Problems, which are indispensable for understanding and moving forward. Many important statements are given as problems, a lot of these are frequently referred to and used in the main body. There are also 376 Exercises throughout the text, including Chapter 1 and the Appendix, which require of the student to prove or verify a statement or an example, fill in necessary details in a proof, or provide an intermediate step or a counterexample. They are also an inherent part of the material. More difficult problems are marked with an asterisk, many problem and exercises being supplied with "e;existential'' hints.a The book is generous on Examples and contains numerous Remarks accompanying every definition and virtually each statement to discuss certain subtleties, raise questions on whether the converse assertions are true, whenever appropriate, or whether the conditions are essential.a a The prerequisites are set intentionally quite low, the students not being assumed to have taken graduate courses in real or complex analysis and general topology, to make the course accessible and attractive to a wider audience of STEM (science, technology, engineering, and mathematics) graduate students or advanced undergraduates with a solid background in calculus and linear algebra. With proper attention given to applications, plenty of examples, problems, and exercises, this well-designed text is ideal for a one-semester graduate course on the fundamentals of functional analysis for students in mathematics, physics, computer science, and engineering. ContentsPreliminariesMetric SpacesNormed Vector and Banach SpacesInner Product and Hilbert SpacesLinear Operators and FunctionalsThree Fundamental Principles of Linear Functional AnalysisDuality and ReflexivityThe Axiom of Choice and Equivalents

Basic Process Engineering Control is based on the extensive experience of theauthors in the field of industry, teaching and writing. The textbook showcasesmethods, problems, and tools used in this well-established fi eld of chemical engineering and goes beyond traditional process engineering by applying the same principles to biomedical processes, energy production, and management of environmental issues. Starting from the behavior of processes, Basic Process Engineering Control explains all determinations in "e;chemical systems"e; or "e;process systems"e;, such as the intricate inter dependency of the process stages, analyzing the hardware components of a control system, and the design of an appropriate control system for a process parameter or a whole process. Although mainly aimed at students and graduates, the book is equally interesting to chemical or process engineers in all industries or research and development centers. Readers will notice the similarity in approach from the system and control point of view between different fields, which might otherwise seem far from each other but share the same control philosophy.

Separation operations are crucial throughout the process industry with respect to energy consumption, contribution to investments and ability to achieve the desired product with the right specifications. Our main objective in creating thisgraduate level textbook is to present an overview of the fundamentals underlying the most frequently used industrial separation methods. We focus on their physical principles and the basic computation methods that are required to assess their technical and economical feasibility. The textbook is organized into three main parts. Separation processes for homogeneous mixtures are treated in the parts on equilibrium based molecular separations and rate-controlled molecular separations. The part on mechanical separation technology presents an overview of the most important techniques for heterogeneous mixture separation. Each chapter provides a condensed overview of the most commonly used equipment types. The textbook is concluded with a final chapter on the main considerations in selecting an appropriate separation process for a separation task. As the design of separation processes can only be learned by doing, we have included exercises at the end of each chapter. Short answers are given at the end of this book; detailed solutions are given in a separate solution manual.

L'ouvrage constitue une introduction au lexique francais de l'economie et de la gestion. Il s'adresse aux etudiants et professionnels non francophones disposant de bonnes connaissances de la langue francaise ainsi qu'aux enseignants de francais economique. Il presente un riche panorama de themes economiques, juridiques, sociaux et culturels et des exercices afin de familiariser le lecteur avec les notions de base de la science economique. This book serves as an introduction to the French language of economy and business economics. Aimed at non-Francophone students and professionals with a good knowledge of French and at teachers of business French, it discusses a vast array of economic, legal, social and cultural topics and contains numerous exercises. The volume is intended to familiarize its readers with the basics of economics.

Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.

The mathematical fundamentals of molecular symmetry and group theory are comprehensibly described in this book. Applications are given in context of electronic and vibrational spectroscopy as well as chemical reactions following orbital symmetry rules. Exercises and examples compile and deepen the content in a lucid manner.

This book is written for engineering students and working professionals. Technical professionals are increasingly involved in IT issues, such as implementing IT systems, managing them, and taking part in requirements analysis/vendor selection. In this book, the basics of production planning systems (PPS) are covered, as well as their implementation in ERP-Systems like SAP. Readers also learn the basics of practical IT management and software creation through detailed, real-world examples. The book serves as a full 5 ECTS study module, which fits into any engineering curriculum. 150 multiple-choice quizzes, practical exercises and a text filled with experiential examples make it a convenient choice for selfstudy and for classroom use.

The book presents principles of molecular vibrational spectroscopy from the viewpoint of Raman, Raman optical activity and high excitation. The quantum mechanical basis, vibrational analysis, representation of point groups and its applications are discussed as well. With exercises, it is an essential text for graduates, lecturers, and also researchers.

This book is a valuable resource for achieving and promoting a culture of risk awareness and integrating risk management principles and practices into the educational environment. This integration is essential to ensure that students have the knowledge and skills to identify hazards, and assess and control risks in different contexts through the development and implementation of a risk management curriculum. Besides theoretical considerations and learning to ask the right questions at all times for the sake of critical thinking, effective risk management education also involves the use of case studies, simulations and other experiential learning tools to help students understand and apply risk management concepts in real-life situations. This approach helps students develop a questioning attitude and problem-solving skills, which are essential for effective risk management. Overall, the interface between risk management and education is essential to develop a generation of professionals who can effectively deal with risks in a variety of contexts. By integrating risk management principles and practices into the educational process, educational institutions can help ensure that their students are well prepared to meet the challenges of the modern world.

The book describes on an introductory level the designing of chemical processes and products so as to reduce or eliminate the use or production of toxic or hazards substances. It explains the code of conduct meant to reduce the environmental impact of any chemical process, whether at laboratory scale or industrial scale. The synonyms of Green Chemistry are the Sustainable Chemistry or the low-environmental-impact Chemistry.

Neural Networks is an integral part in machine learning and a known tool for controlling nonlinear processes. The area is under rapid development and provides a tool for modelling and controlling of advanced processes. This book provides a comprehensive overview for modelling, simulation, measurement and control strategies for reactive distillations using neural networks.

Medical Microbiology is an excellent and easy-to-use textbook which explains the roles of microorganisms in human health and illness. Written in a clear and engaging manner, the book provides an overview of pathogenic organisms, their diagnosis and treatment tools as well as the molecular mechanisms of hostpathogen interactions and antimicrobial drug resistance.

Advanced data management has always been at the core of efficient database and information systems. Recent trends like big data and cloud computing have aggravated the need for sophisticated and flexible data storage and processing solutions.This book provides a comprehensive coverage of the principles of data management developed in the last decades with a focus on data structures and query languages. It treats a wealth of different data models and surveys the foundations of structuring, processing, storing and querying data according these models. Starting off with the topic of database design, it further discusses weaknesses of the relational data model, and then proceeds to convey the basics of graph data, tree-structured XML data, key-value pairs and nested, semi-structured JSON data, columnar and record-oriented data as well as object-oriented data. The final chapters round the book off with an analysis of fragmentation, replication and consistency strategies for data management in distributed databases as well as recommendations for handling polyglot persistence in multi-model databases and multi-database architectures. While primarily geared towards students of Master-level courses in Computer Science and related areas, this book may also be of benefit to practitioners looking for a reference book on data modeling and query processing. It provides both theoretical depth and a concise treatment of open source technologies currently on the market.

EPR spectroscopy is a versatile, nondestructive technique widely used in chemistry, biology, and physics. It detects molecules and materials with unpaired electrons making it a very selective technique that produces a wealth of information on such systems. Its high sensitivity makes it suitable in analyzing very small samples, single crystals, or reaction intermediates like radicals. This textbook takes a practical approach that introduces the basic concepts of EPR to sufficient detail to allow the reader to gain a basic knowledge of EPR and understand how experiments are carried out and how spectra are analyzed and interpreted. Many illustrative examples are included drawn from solid-state physics and bioinorganic chemistry. It is suitable as a short introduction for advanced undergraduate and beginning graduate students taking their first steps into EPR research.

This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrationsitintroduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

The fourth edition of this textbook has been thoroughly revised in order to reflect the central role which geodesy has achieved in the past ten years. The Global Geodetic Observing System established by the IAG utilizes a variety of techniques to determine the geometric shape of the earth and its kinematics, the variations of earth rotation, and the earth's gravity field. Space techniques play a fundamental role, with recent space missions also including gravity field recovery. Terrestrial techniques are important for regional and local applications, and for validating the results of the space missions. Global and regional reference systems are now well established and widely used. They also serve as a basis for geo-information systems. The analysis of the time variation of the geodetic products provides the link to other geosciences and contributes to proper modelling of geodynamic processes. The book follows the principal directions of geodesy, providing the theoretical background as well as the principles of measurement and evaluation methods. Selected examples of instruments illustrate the geodetic work. An extensive reference list supports further studies. The book is intended to serve as an introductory textbook for graduate students as well as a reference for scientists and engineers in the fields of geodesy, geophysics, surveying engineering and geomatics.

This textbook is devoted to the general asymptotic theory of statistical experiments. Local asymptotics for statistical models in the sense of local asymptotic (mixed) normality or local asymptotic quadraticity make up the core of the book. Numerous examples deal with classical independent and identically distributed models and with stochastic processes. The book can be read in different ways, according to possibly different mathematical preferences of the reader. One reader may focus on the statistical theory, and thus on the chapters about Gaussian shift models, mixed normal and quadratic models, and on local asymptotics where the limit model is a Gaussian shift or a mixed normal or a quadratic experiment (LAN, LAMN, LAQ). Another reader may prefer an introduction to stochastic process models where given statistical results apply, and thus concentrate on subsections or chapters on likelihood ratio processes and some diffusion type models where LAN, LAMN or LAQ occurs. Finally, readers might put together both aspects. The book is suitable for graduate students starting to work in statistics of stochastic processes, as well as for researchers interested in a precise introduction to this area.

Biological systems have always inspired mankind in the creation of new systems and technologies. In recent years the interface between the biological and non-biological worlds appears increasingly blurred due to significant advances both in our understanding of biological phenomena, as well as the development of sophisticated means to manipulate molecular systems for varied applications. Biomimetics as a distinct discipline shows how biology and biological processes are manifested in diverse aspects of chemistry, physics and engineering. This book aims to methodically describe artificial and synthetic assemblies mimicking biological and living systems - from biomaterials to drug discovery to microelectronics and computer sciences.

General introduction - Definition of nanodispersions (nanosuspensions, nanoemulsions, swollen micelles or microemulsions, liposomes and vesicles) and their size range. General description of their colloid stability. Main advantages of nanodispersions and their industrial applications.Preparation of nanosuspensions by top-up process - Nucleation and growth and control of particle size distribution. Factors determining the formation of narrow particle size distribution. Role of surfactants and polymers. Preparation of nano-polymer colloids (lattices) by emulsion and dispersion polymerization. Factors affects the stability of nanosuspensions.Preparation of nanosuspensions by bottom down process - Dispersion of preformed particles in liquids and the need of a wetting agent. Break-up of aggregates and agglomerates by application of high speed stirrers. Reduction of particle size by application of intense energy (microfluidization or bead milling). Maintenance of the colloid stability of the resulting particles. Reduction of Ostwald ripening.Industrial applications of nanosuspensions - Application in pharmacy to enhance bioavailability, Application in sunscreens for UV protection. Application in paints and coatings.Preparation of nanoemulsions by the use of high pressure homogenisers - Principles of emulsion formation and the role of the emulsifier. Selection of emulsifiers. Methods of emulsification and prevention of coalescence during emulsification. Origin of colloid stability of nanoemulsions. Prevention of Ostwald ripeningLow energy methods for nanoemulsion preparation - The phase inversion composition method and the role of mixing the surfactant with oil and water. The phase inversion temperature method for preparation of nanoemulsions. Preparation of nanoemulsions by dilution of microemulsions.Practical examples of nanoemulsions and their industrial application - Nanoemulsions based on non-ionic surfactants and the role of the hydrophilic-lipophilic balance. Effect of oil solubility on the stabilityof nanoemulsions. Nanoemulsions based on polymeric surfactants. Applications in pharmacy and cosmetics.Swollen micelles or microemulsionsDefinition of microemulsions and their size range. Thermodynamic definition of microemulstions. Theories of microemulsion formation and stability. Characterisation of microemulsions using scattering, conductivity and NMR rechniques.Formulation of microemulsions and their industrial applications - Distinction between microemulsions and macroemulsions. Formulation of oil/water and water/oil microemulsions. Selection of emulsifiers for microemulsions. Application of microemulsions in tertiary oil recovery.Liposomes and vesicles - Formation of multilamellar lipid layers (liposomes) by dispersion of lipids in water. Formation of unilamellar vesicles by sonication of the liposomes. Factors responsible for stabilisation of liposomes and vesicles. Use of block copolymers to enhance the stability of vesicles. Applications of liposomes and vesicles in pharmacy and cosmetics.

Along with the first volume on "e;Industrial Chemistry"e; this book discusses, illustrates and explains many of the major chemical processes performed by industry, looks at how transformations affect the quality of our lives, examines the various types of waste produced as necessary products are developed and marketed, and shows techniques and practices in which many industries have made strides to improve or "e;green"e; specific chemical processes.

This book is an introduction to nonlinear programming. It deals with the theoretical foundations and solution methods, beginning with the classical procedures and reaching up to "e;modern"e; methods like trust region methods or procedures for nonlinear and global optimization. A comprehensive bibliography including diverse web sites with information about nonlinear programming, in particular software, is presented. Without sacrificing the necessary mathematical rigor, excessive formalisms are avoided. Several examples, exercises with detailed solutions, and applications are provided, making the text adequate for individual studies. The book is written for students from the fields of applied mathematics, engineering, economy, and computation.

Nanoparticles presents the remarkable variety of nanoparticle families, compositions, structures, and functions. The book discusses nanoparticles made of semiconductors, metals, metal-oxides, organics, biological and hybrid constituents.Through a wealth of examples and case studies, supplemented by numerousfigures, readers that are not necessarily active or experts in this area acquire abroad overview of this exciting field at the interface between scientifi c research and practical technologies.The contents summarize the contributions to this field of diverse scientific and technological disciplines- chemistry, physics, biology, electronics and others providing acomprehensive knowledge- the types of nanoparticles, their compositions and how the relationships between the atomic constituents affect their properties, as well as potential applications of nanoparticles.- Covers diverse uses of nanoparticles in scientifi c research and industrial applications, underscoring their extraordinary diversity and potential utilization.- Experimental and conceptual approaches applied to the study of nanoparticles are discussed extensively. Additional references provide the reader with a basis for further study.- Also available by Professor Jelinek: Biomimetics - A Molecular Perspective (2013), ISBN: 978-3-11-028117-0

Industrial Inorganic Chemistry adds to the previously published graduate level textbooks on Industrial Chemistry by Mark A. Benvenuto. It focuses specifically on inorganic processes, from the largest industrial process for the production of major inorganic chemicals and metals, down to and including smaller niche processes that have become extremely important in maintaining the current quality of life. The book provides a survey on the production of essential elements and compounds, such as sulfuric acid, calcium carbonate, fertilizers as well as numerous metals and alloys. In addition to the fundamental scientific principles each chapter includes discussions on the environmental impacts: mining of raw materials, creation of by-products, pollution, and waste generation, all of which have become key factors for the potential implementation of greener methods. The author also highlights ways in which industry has begun to make industrial inorganic processes more environmentally benign. Examines major inorganic chemistry processes, their effect on every-day life and current efforts to improve processes or adapt green"e; chemical production. Provides didactic links between theoretical lecture contents and current, largescale chemical processes. Valuable for students of Inorganic Chemistry, Industrial Chemistry, Chemical Engineering and Materials Sciences.

The extensive use of little known electronic principles provides something like the Science of Electronics supplementing the Art of Electronics without involvement of too much theory. Whereas art can only be acquired by doing, the knowledge provided by science can be acquired from books. The ready availability of integrated circuits for practically any application reduces the art of electronics to the art of interfacing these integrated components. The practical knowledge required for that art can only be acquired by doing and not by reading. However, it takes a lot of knowledge to select the best integrated component for achieving a specific goal. Such knowledge is provided in this book. By using a holistic approach in the understanding of the various circuits and by taking ample advantage of the duality between the electrical quantities voltage and current, the understanding of the properties of electronic circuits is made easier. Besides, this approach reduces the amount of mathematics needed for a deeper understanding. Thus, this book is appropriate for scholars at the advanced undergraduate level. In particular, the important aspects of positive and negative feedback in circuits are presented in a compact way by introducing the reverse closed-loop-gain. It is quite clear that a single book cannot cover all aspects of both analog and digital electronics, the latter comprising all circuits needed for data manipulation in digital computers- which is a field in itself.

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as Group-Based Cryptography Grobner Basis Methods in Cryptography Lattice-Based Cryptography