De Gruyter Textbook – serie

Modern DFT simulations of solids and molecules are typically based on the mighty plane-wave pseudopotential combination. Despite being numerically efficient, it does not allow for chemical conclusions unless the electronic structure is unitarily transformed into atomic orbitals. This primer for chemists and as well for physicists and engineers shows how to simply extract the chemistry and, hence, truly understand a plethora of real-world materials The goal of this humorous primer entertaining to read is to truly serve but not repel the reader. Recent in-person and also virtual summer schools in Europe and Asia have demonstrated the need for such a primer, also to be used for self-training

A profound understanding of the physical laws underlying energy converters is a prerequisite for a sustainable use of our energy resources. The aim of this textbook is to provide a unified view on the different energy conversion processes ranging from power plants to solar cells. It offers an interdisciplinary introduction to energy sciences for senior undergraduate and graduate students from natural sciences and engineering. The central theme is the treatment of energy converters as open thermodynamical systems and the performance of efficiency analyses, based on the concept of exergy. Presents the physics behind the most important energy converters in a unified framework. Evaluates the performance of ideal and realistic energy converters in terms of energy and exergy efficiencies Provides basic concepts needed for a discussion of energy converters, such as chemical and applied thermodynamics, electrochemistry and solid state physics.About the AuthorsKatharina Krischeris a professor of physics at the Technische Universität München, Germany. She has taught lectures on energy sciences for undergraduate and graduate students for more than 10 years. Her research topics include the photo-electrochemical production of solar fuels. Konrad Schönleber is a researcher in the group of Prof. Krischer which he joined after graduating in physics from the Technische Universität München. His research interest focuses on light-driven semiconductor electrochemistry and its application for renewable energies.

This book covers additive manufacturing of polymers, metals, ceramics, fiber reinforced polymer composites, energy harvesting materials, and biomaterials. Hybrid manufacturing is discussed. Topology optimization methodology is described and finite element software examples are provided. The book is ideal for graduate students and career starters in the industry.

Organometallics are versatile and frequently used compounds that play a vital role in chemistry. The textbook provides an excellent overview of organometallic reagents and organic synthesis. It describes fundamental facts, best methods and conditions, and includes excercises at the end of each chapter.

This textbook explains electricity generation in plain English so non-engineers can easily understand it. It also presents a framework to incorporate sustainability into international development projects in the energy sector. It uses examples from Africa to illustrate both sustainable and unsustainable energy development projects.

The book covers additive manufacturing of polymers, metals, ceramics, fiber reinforced polymer composites, energy harvesting materials and biomaterials. It includes photopolymerization, heat curing, crystallization of molten metal processes. Hybrid manufacturing is discussed. Topology optimization methodology is described and finite element software examples are provided. The book is ideal for graduate students and career starters in the industry.

The term biofabrication is defined as the automated generation of biologically functional products with structural organization. Combining cells with biomaterials, biofabrication consists of using industrial methods to combine cells with biomaterials. This book covers the different strategies and established techniques to create artificial living tissues. By providing an overview of the whole biofabrication development process, including design phase, manufacturing, and evaluation of the resulting product it is the perfect support for the classroom. This book enables students to jump into the field of biofabrication by covering all the aspects of this highly active field of science at the intersection of cell biology, molecular biology, engineering, materials science, and chemistry.

This book provides the fundamental concepts required for the development of an efficient small-scale wind turbine. For centuries, engineers and scientists have used wind turbines of all shapes and sizes to harvest wind energy. Large-scale wind turbines have been successful at producing great amounts of power when deployed in sites with vast, open space, such as in fi elds or in offshore waters. For environments with limited space, such as dense urban environments, small-scale wind turbines are an attractive alternative for taking advantage of the ubiquity of wind. However, many of today’s tools for aerodynamic design and analysis were originally developed for large-scale turbines and do not scale down to these smaller devices. Arranged in a systematic and comprehensive manner, complete with supporting examples, Wind Energy Harvesting: Micro- To Small-Scale Turbines is a useful reference for undergraduate and graduate level classes on energy harvesting, sustainable energy, and fl uid dynamics, and an introduction to the field for non-technical readers.

“Steude’s book offers a very readable and easy-to-understand presentation of the key concepts of inorganic molecular chemistry. Following an introduction into chemical bonding, the book focuses on the material chemistry of the main group elements.”Prof. Dr. Michael Ruck, TU Dresden

No detailed description available for "Parametric Statistical Theory".

No detailed description available for "Numerical Analysis".

No detailed description available for "Mathematical Statistics".

No detailed description available for "Mathematical Statistics".

No detailed description available for "Lectures on the Topology of 3-Manifolds".

With emphasis on stochastic aspects of deterministic systems this short book introduces the reader to the basic facts and some special topics of applied ergodic theory. It adresses advanced undergraduate and graduate students from various disciplines, i.e. mathematicians, physicists, electrical and mechanical engineers. Based upon a sound (but non-technical) mathematical introduction, a number of typical examples from applications (mostly from mechanics) are thoroughly discussed. By studying both probabilistic and deterministic features of dynamical systems the reader will develop what might be considered a unified view on chaos and chance as two sides of the same thing.

This Textbook on Indo-European Linguistics is designed as an introduction to the field. It presents current topics and questions in Indo-European linguistics in a clear and informative manner. This is the English translation of the eight edition of the work first published by Hans Krahe and it takes account of more recent research. While Krahe only considered phonology and morphology, the edition also includes a comprehensive account of syntax and lexis. Manfred Mayrhofer assisted with the section of phonology; Matthias Fritz wrote the section on syntax and provided support for the project as a whole.

This textbook deals with the basics and methods of photogrammetry and laser scanning which are used to determine the form and location of objects, with measurements provided by sensors placed in air planes as well as on terrestrial platforms. Many examples and exercises with solutions are included. Photogrammetry, Laserscanning.

This textbook presents a first introduction to 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. An elementary introduction to the basic principles of partial differential equations.With many illustrations.The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

This book is a translation of the third edition of the well accepted German textbook 'Stochastik', which presents the fundamental ideas and results of both probability theory and statistics, and comprises the material of a one-year course. The stochastic concepts, models and methods are motivated by examples and problems and then developed and analysed systematically.

This book is an interdisciplinary reader on the Faust theme in literature and music from the Reformation to the present. Essays by Faust scholars set the texts in context. Peter Werres introduces the collection with The Changing Faces of Dr. Faustus. Osman Durrani and Gerald Strauss discuss contexts of the Faust Book, given in the English translation The Historie of the Damnable Life and Deserved Death of Doctor John Faustus. David Wootton compares Marlowe’s Doctor Faustus and the English Faust Book. Klaus L. Berghahn’s analysis of transformations of the theme and seventeenth- and eighteenth-century performance announcements contextualize the popular Puppet-Play of Doctor Faust. Works of Faustian music include the ballad The Just Judgment of God shew’d upon Dr. John Faustus, Berlioz’s The Damnation of Faust, and Gounod’s Faust. Essays by Henry Bacon and Steven R. Cerf engage the Faust theme in Romantic music and twentieth-century opera. Osman Durrani introduces 19th-Century American Fausts, represented by Hawthorne’s The Birthmark, and excerpts from Ethan Brand and Melville’s Moby Dick. Faust themes in the 20th and 21st centuries are represented by Valéry’s My Faust, Shapiro’s The Progress of Faust, Osman Durrani’s overview of Faust globalized, and Paul M. Malone’s work on the Faust theme in rock opera. A reading list is included.

This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Updated, complete Solutions Manual available on request Prerequisites from measure theory and linear algebra are presented.

This book is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits. First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives. Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage. The first part of the book contains a study of a simple one-period model, which also serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. This third revised and extended edition now contains more than one hundred exercises. It also includes new material on risk measures and the related issue of model uncertainty, in particular a new chapter on dynamic risk measures and new sections on robust utility maximization and on efficient hedging with convex risk measures.

This book is a standard work for modern narrative theory. It provides a terminological and theoretical system of reference for future research. The author explains and discusses in detail problems of communication structure and entities of a narrative work, point of view, the relationship between narrator’s text and character’s text, narrativity and eventfulness, and narrative transformations of happenings. The book outlines a theory of narration and analyses central narratological categories such as fiction, mimesis, author, reader, narrator etc. A detailed bibliography and glossary of narratological terms make this book a compendium of narrative theory which is of relevance for scholars and students of all literary disciplines.

This textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts and methods for solving typical problems. Theorems then are formulated, proved and illustrated by more problems of increasing difficulty. Topics covered include elementary combinatorial constructions, application to probability theory, introduction to graphs and trees with application to hierarchical clustering algorithms, more advanced counting techniques, and existence theorems in combinatorial analysis. The text systematically employs the basic language of set theory. This approach is often useful for solving combinatorial problems, especially problems where one has to identify some objects, and significantly reduces the number of the students’ errors; it is demonstrated in the text on many examples. The textbook is suitable for undergraduate and entry-level graduate students of mathematics and computer science, lecturers in these fields, and anyone studying combinatorial methods and graphical models for solving various problems. The book contains more than 700 problems and can be used as a reading and problem book for an independent study seminar or self-education.

Mathematics course with 60 Java-based interactive mathematic simulations by the author Comprehensive and systematically organized collection of 2,000 Java-based physics simulations All simulations are runnable, and can be accessed both on- and offline Visualization of mathematic relationships Facilitates an experiment-based understanding of problems, including suggestions for your own mathematical experiments Calculation procedures can be adjusted in a variety of ways Introduction to simulation techniques with the EJS (Easy Java Simulation) tool Visual interface for simple and transparent modeling and programming Building block library for programming one's own simulations Quick access to simulations from links embedded in the digital textMathematics is the language of physics and technology. Yet in the age of computers, mathematic skill is not based on mastery of arithmetic. Rather, it depends on understanding relationships in time and space, and expressing them with precise and clear formulas. In this regard, one cannot rely on the rote memorization of rules and formulas - insight and intuitive understanding are crucial. But how can this understanding be achieved in higher mathematics, which depends on abstract concepts such as complex numbers, real and complex infinite series, infinitesimal calculus, 2, 3, and 4 dimensional functions, conformal maps, vectors, and linear and nonlinear ordinary and partial differential equations?The author takes a highly practical approach to facilitating the insight essential for true learning in mathematics. Students can work directly with the simulation programs, can visualize relationships, and creatively interact with the calculation procedures. Proceeding in textbook fashion, the work makes use of a broad palette of multimedia tools, and features numerous interactive calculation programs for mathematical experimentation. Students merely have to select one of the many predefined examples and set the relevant parameters - and in a flash the results are graphically displayed in 2 or 3 dimensions. In addition, the specific functions used can be changed or even newly formulated according to user preferences. For example, a procedure developed for a fourth degree power function for the numerical calculation of zero points can be adapted for use with another function. Each simulation is accompanied by a detailed description, instructions for use, and numerous suggestions for experimentation. The mathematical simulations are based on the Easy Java Simulation (EJS) programming tool. All of the files developed with EJS are completely open and transparent. The user can even draw on the examples as building blocks for the development his or her own calculation procedures. The appendix contains a short introduction to EJS.The work is enriched by a comprehensive collection of cosmological simulations as well as models from the Open Source Physics project, organized by subject area. Intended as a systematic collection of methods and materials for upper-secondary school teachers and as a course for students of physics and mathematics, the work facilitates hands-on and experiment-driven learning in higher mathematics.The print version contains the electronic text and simulations for offline use. For questions concerning download or online access to the simulations, please contact service@degruyter.com.

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. The theme of the text is the interplay between rings and modules. At times rings are investigated by considering given sets of conditions on the modules they admit and at other times rings of a certain type are considered to see what structure is forced on their modules. Standard topics in ring and module theory such as chain conditions on rings and modules, injective and projective modules and semisimple rings are included as well as subjects like category theory and homological algebra. The text also contains presentations on topics such as flat modules and coherent rings, injective envelopes, projective covers and perfect rings, reflexive modules and quasi-Frobenius rings, and graded rings and modules.The book is a self-contained volume written in a very systematic style: all proofs are clear and easy for the reader to understand and all arguments are based on materials contained in the book. A problem sets follow each section. It is assumed that the reader is familiar with concepts such as Zorn's lemma, commutative diagrams and ordinal and cardinal numbers. It is also assumed that the reader has a basic knowledge of rings and their homomorphisms. The text is suitable for graduate and PhD students who have chosen ring theory for their research subject.

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.

This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations.In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix.The text is comprehensible for students of mathematics and physics with a basic education in analysis.

Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describing invariant probability measures, and as a tool for solving more general mathematical problems, e.g., by diagonalizing ordinary differential equations or systems from control theory.This textbook presents a number of the most important numerical methods for finding eigenvalues and eigenvectors of matrices. The authors discuss the central ideas underlying the different algorithms and introduce the theoretical concepts required to analyze their behavior with the goal to present an easily accessible introduction to the field, including rigorous proofs of all important results, but not a complete overview of the vast body of research. Several programming examples allow the reader to experience the behavior of the different algorithms first-hand.The book addresses students and lecturers of mathematics, physics and engineering who are interested in the fundamental ideas of modern numerical methods and want to learn how to apply and extend these ideas to solve new problems.