الصفحة 9
الصفحة 9
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.
Elementary Functions : Algorithms and Implementation
This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions—sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment.
Elementary Dirichlet Series and Modular Forms
The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old method. After a review of elementary Fourier analysis, the author presents completely new results with new methods, though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications, new formulas for the second factor of the class number of a cyclotomic field will be given.
Electron Scattering in Solid Matte r: A Theoretical and Computational Treatise
Addressing graduate students and researchers, this book gives a very detailed theoretical and computational description of multiple scattering in solid matter. Particular emphasis is placed on solids with reduced dimensions, on full potential approaches and on relativistic treatments. For the first time approaches such as the Screened Korringa-Kohn-Rostoker method that have emerged during the last 5 – 10 years are reviewed, considering all formal steps such as single-site scattering, structure constants and screening transformations, and also the numerical point of view. Furthermore, a very general approach is presented for solving the Poisson equation, needed within density functional theory in order to achieve self-consistency. Going beyond ordered matter and translationally invariant systems, special chapters are devoted to the Coherent Potential Approximation and to the Embedded Cluster Method, used, for example, for describing nanostructured matter in real space. In a final chapter, physical properties related to the (single-particle) Green’s function, such as magnetic anisotropies, interlayer exchange coupling, electric and magneto-optical transport and spin-waves, serve to illustrate the usefulness of the methods described.
Eisenstein Series and Applications
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and equidistribution of rational/integer points on homogeneous varieties.
e-Health Care in Dentistry and Oral Medicine: A Clinician’s Guide
Presents the state of the art in e-health care within dentistry and oral medicine (“e-oral health”) with the aim of acquainting dentists and other oral health care professionals with its uses and advantages, especially with regard to diagnosis. It will assist all who wish to learn about teledentistry protocols and the e-oral health branch or to implement e-oral health solutions and procedures in clinical practice. The book opens by discussing general aspects of e-oral health, including tools, networks, and the very important ethical considerations. The use and specific benefits of e-oral health technologies in the diagnosis of different conditions, orthodontic assessment, implantology evaluation, and caries prevention are then fully explained. Finally, examples are provided of the ways in which teledentistry functions in different countries on different continents. e-Oral health is a burgeoning field that encompasses teledentistry as well as other uses of information and communication technologies for oral health care purposes.
Effective IT Service Management : to ITIL and beyond!
IT service management (ITSM) is the group of processes and functions that oil the wheels of the IT machine. Without ITSM, every IT project and system would deteriorate over time until failure. ITIL is the recognized best-practice standard for ITSM, and has been around since the late 1980s, with ITIL version 3 published just recently. However, many of today’s IT problems have been around for just as long - so in order to manage IT effectively, organizations must go beyond the ITIL framework.
Ecosystem Organization of a Complex Landscape : Long-Term Research in the Bornhöved Lake District, Germany
Presents the major findings of a 12-year ecological study of the Bornhöved Lake District, situated some 30 km south of Kiel. Historically speaking, the present research scheme, like comparable long-term ecosystem studies at Göttingen, Bayreuth, München, and Berchtesgaden, has been conceived as the core of a comprehensive ecological surveillance system for Germany (Ellenberg et al. 1978). Comprising three interrelated components, namely an ecological monitoring network, comparative ecosystem research, and an environmental specimen bank, this system is intended to promote both ecological science and planning and policy. In this connection the geo- and bioscientifically based ecosystem research aims at understanding the structure and functions of systems, the natural equilibrium and stress tolerance of singular components and the entire system against changes and disturbances from within and from outside, and the relationships between diversity, productivity, and stability. Thus, ecosystem research forms the indispensable basis for the rational analysis of the comprehensive data sets made available by ecological monitoring networks and for the adequate selection of plant, animal, and soil specimens for environmental specimen banking purposes.
Economics of the Environment : Theory and Policy
The labor of nature is paid, not because she does much, but because she does little. In proportion as she becomes niggardly in her gifts, she exacts a greater price for her work. Where she is munificently bene- cent, she always works gratis.“ David Ricardo* This book interprets nature and the environment as a scarce resource. Whereas in the past people lived in a paradise of environmental superabundance, at p- sent environmental goods and services are no longer in ample supply. The en- ronment fulfills many functions for the economy: it serves as a public-c- sumption good, as a provider of natural resources, and as receptacle of waste. These different functions compete with each other. Releasing more pollutants into the environment reduces environmental quality, and a better environm- tal quality implies that the environment’s use as a receptacle of waste has to be restrained. Consequently, environmental disruption and environmental use are by nature allocation problems. This is the basic message of this book.
Econometric Analysis of Count Data
The book provides graduate students and researchers with an up-to-date survey of statistical and econometric techniques for the analysis of count data, with a focus on conditional distribution models. Proper count data probability models allow for rich inferences, both with respect to the stochastic count process that generated the data, and with respect to predicting the distribution of outcomes. The book starts with a presentation of the benchmark Poisson regression model. Alternative models address unobserved heterogeneity, state dependence, selectivity, endogeneity, underreporting, and clustered sampling. Testing and estimation is discussed from frequentist and Bayesian perspectives. Finally, applications are reviewed in fields such as economics, marketing, sociology, demography, and health sciences. The fifth edition contains several new topics, including copula functions, Poisson regression for non-counts, additional semi-parametric methods, and discrete factor models. Other sections have been reorganized, rewritten, and extended.
Dynamics of Rods
The book consists of nine chapters and appendices and may be conventionally divided into two parts. That is, Chapters 1 to 6 contain, in the main, theoretical material, whereas Chapters 7 to 9 illustrate the application of the theoretical results to problems of practical interest. Problems for self-study are found in Chapters 3, 5, and 7. The solutions to most of the problems are given in Appendix B.
Dynamics AX : A guide to microsoft axapta
The world’s leading Axapta 3.0 experts will take you from Axapta novice to pro in this book. This authoritative and comprehensive guide walks you gently through the bulk of what you need to know to productively apply the system in the real worldwith real data, sizing guidelines, deployment architectures, and code. By the book’s end, you will have acquired practical hands-on experience. You’ll be able to get Axapta 3.0 up and running, and identify gaps between the out-of-the-box product and your actual business needs. You’ll also know how to automate real-world business functions.
Drugs Compromising Male Sexual Health
This concise drug guide lists approximately 500 substances, such as pharmaceutical drugs, lifestyle drugs, and environmental toxicants, that show documented untoward effects on the male sexual organs and their functions.
Discrete Mathematics Using a Computer
Discrete Mathematics Using a Computer offers a new, "hands-on" approach to teaching Discrete Mathematics. Using software that is freely available on Mac, PC and Unix platforms, the functional language Haskell allows students to experiment with mathematical notations and concepts -- a practical approach that provides students with instant feedback and allows lecturers to monitor progress easily.
Direct and inverse Sturm-Liouville problems : A method of solution
This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equations as well as for the integral kernels of the transmutation operators are derived in the form of functional series revealing interesting special features and lending themselves to direct and simple numerical solution of a wide variety of problems.
Diophantine Approximation : Festschrift for Wolfgang Schmidt
This volume contains 22 research and survey papers on recent developments in the field of diophantine approximation. The first article by Hans Peter Schlickewei is devoted to the scientific work of Wolfgang Schmidt. Further contributions deal with the subspace theorem and its applications to diophantine equations and to the study of linear recurring sequences. The articles are either in the spirit of more classical diophantine analysis or of geometric or combinatorial flavor. In particular, estimates for the number of solutions of diophantine equations as well as results concerning congruences and polynomials are established. Furthermore, the volume contains transcendence results for special functions and contributions to metric diophantine approximation and to discrepancy theory.
Digital Signal Processing with Field Programmable Gate Arrays
Field-Programmable Gate Arrays (FPGAs) are revolutionizing digital signal processing as novel FPGA families are replacing ASICs and PDSPs for front-end digital signal processing algorithms. So the efficient implementation of these algorithms is critical and is the main goal of this book. It starts with an overview of today's FPGA technology, devices, and tools for designing state-of-the-art DSP systems. A case study in the first chapter is the basis for more than 40 design examples throughout. The following chapters deal with computer arithmetic concepts, theory and the implementation of FIR and IIR filters, multirate digital signal processing systems, DFT and FFT algorithms, advanced algorithms with high future potential, and adaptive filters. Each chapter contains exercises. The VERILOG source code and a glossary are given in the appendices. This edition has a new chapter on microprocessors, new sections on special functions using MAC calls, intellectual property core design and arbitrary sampling rate converters, and over 100 new exercises.
Digital Enterprise Technology : Perspectives and Future Challenges
Digital engineering methods and systems are vitally important for performing key technical and business functions of global enterprises in a distributed and collaborative manner. The product design and engineering systems are gradually being developed to include a variety of tools for DfX, as well as incorporate aspects of digital manufacturing.The chapters presented in this book are contributed by world class leaders in the field. This volume includes relevant examples of current state-of-art in the development and use of systems and methods for the digital modelling of global development and realization processes in the context of life cycle management.
Differential Evolution ; Vol.5 : In Search of Solutions
The human being aspires to the best possible performance. Both individuals and enterprises are looking for optimal—in other words, the best possible—solutions for situations or problems they face. Most of these problems can be expressed in mathematical terms, and so the methods of optimization undoubtedly render a significant aid. In cases where there are many local optima; intricate constraints; mixed-type variables; or noisy, time-dependent or otherwise ill-defined functions, the usual methods don’t give satisfactory results. Are you seeking fresh ideas or more efficient methods, or do you perhaps want to be well-informed about the latest achievements in optimization? If so, this book is for you. This book develops a unified insight on population-based optimization through Differential Evolution, one of the most recent and efficient optimization algorithms. You will find, in this book, everything concerning Differential Evolution and its application in its newest formulation.
Differential Evolution : A Practical Approach to Global Optimization
Problems demanding globally optimal solutions are ubiquitous, yet many are intractable when they involve constrained functions having many local optima and interacting, mixed-type variables. The differential evolution (DE) algorithm is a practical approach to global numerical optimization which is easy to understand, simple to implement, reliable, and fast. Packed with illustrations, computer code, new insights, and practical advice, this volume explores DE in both principle and practice. It is a valuable resource for professionals needing a proven optimizer and for students wanting an evolutionary perspective on global numerical optimization.
