الصفحة 14
الصفحة 14
Problems in Algebraic Number Theory
The book covers topics ranging from elementary number theory (such as the unique factorization of integers or Fermat's little theorem) to Dirichlet's theorem about primes in arithmetic progressions and his class number formula for quadratic fields, and it treats standard material such as Dedekind domains, integral bases, the decomposition of primes not dividing the index, the class group, the Minkowski bound and Dirichlet's unit theorem .
Probabilistic Modeling in Bioinformatics and Medical Informatics
Probabilistic Modelling in Bioinformatics and Medical Informatics has been written for researchers and students in statistics, machine learning, and the biological sciences. The first part of this book provides a self-contained introduction to the methodology of Bayesian networks. The following parts demonstrate how these methods are applied in bioinformatics and medical informatics. All three fields - the methodology of probabilistic modeling, bioinformatics, and medical informatics - are evolving very quickly. The text should therefore be seen as an introduction, offering both elementary tutorials as well as more advanced applications and case studies.
Privacy in Statistical Databases; CENEX-SDC Project International Conference, PSD 2006, Rome, Italy, December 13-15, 2006, Proceedings
Privacy in statistical databases is a discipline whose purpose is to provide - lutions to the con?ict between the increasing social, political and economical demand of accurate information, and the legal and ethical obligation to protect the privacy of the individuals and enterprises to which statistical data refer. - yond law and ethics, there are also practical reasons for statistical agencies and data collectors to invest in this topic: if individual and corporate respondents feel their privacyguaranteed,they arelikelyto providemoreaccurateresponses.
Principles of signals and systems
Presents basic concepts of signals and systems in a clear manner, based on the author’s 15+ years of teaching the undergraduate course for engineering students. To attain full benefit from the content, readers should have a strong knowledge of calculus and be familiar with integration, differentiation, and summation operations. The book starts with an introduction to signals and systems and continues with coverage of basic signal functions and their manipulations; energy, power, convolution, and systems; Fourier analysis of continuous time signals and digital signals; Laplace transform; and Z transforms. Practical applications are included throughout.
Pressure Vessel Design
This book guides through general and fundamental problems of pressure vessel design. It moreover considers also problems which seem to be of lower importance but which turn out to be crucial in the design phase. The basic approach is rigorously scientific with a complete theoretical development of the topics treated, but the analysis is always pushed so far as to offer concrete and precise calculation criteria that can be immediately applied to actual designs. This is accomplished through appropriate algorithms that lead to final equations or to characteristic parameters defined through mathematical equations.
Premiers pas en simulation = First steps in simulation
Why simulation techniques? Simulation methods, designed for use in statistics and operations research, have experienced and continue to develop rapidly due to the extraordinary evolution of computers. Applications are found in industry and in economics, or even social sciences, in particle physics, in astronomy and in many other fields. In many situations, whether in everyday life or in scientific research, the researcher is faced with problems which he seeks solutions on the basis of certain initial assumptions and constraints. To solve this type of problem, there exist analytical methods applicable to situations where the model makes it possible to treat the di? Erent variables by mathematically manageable equations, and numerical methods where the complexity of the model imposes a fragmentation of the problem, in particular by the identification of the various variables which come into play and the study of their interactions. This last approach is often accompanied by a large mass of calculations. Simulation techniques are numerical techniques: to simulate a phenomenon essentially means to carefully reconstruct its evolution.
Practical handbook on soil protists
Details a wide range of basic and advanced techniques associated with research on isolation of important soil protozoa, and identification. Chapters guide readers through calculations of soil protists, basic techniques for isolation, enumeration, enrichment, molecular techniques, and staining techniques.
Practical C++ Design : From Programming to Architecture
Updated for the C++20 standard, this title will guide you through the design and implementation of an engaging case study that forms the backdrop for learning the art of applying design patterns and modern C++ techniques to create a high quality, robust application. Starting with a quick exploration of the requirements for building the application, you'll delve into selecting an appropriate architecture, eventually designing and implementing all of the necessary modules to meet the project’s requirements. By the conclusion of Practical C++ 20 Design, you'll have constructed a fully functioning calculator capable of building and executing on any platform that supports both Qt and C++20. Access to the complete source code will help speed your learning. You will: Read a specification document and translate it into a practical C++ design using some of the latest language features from C++20. Understand trade-offs in selecting between alternative design scenarios. Gain practical experience in applying design patterns to realistic development scenarios. Learn how to effectively use language elements of modern C++ to create a lasting design. Develop a complete C++ program from a blank canvas through to a fully functioning, cross platform application. Read, modify, and extend existing, high quality code. Learn the fundamentals of API design, including class, module, and plugin interfaces
Postmodern Analysis
“Modern Analysis” as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonn´ e is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degenerate into a collection of rather unconnected tricks to solve special problems, this de?nitely represented a healthy achievement. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathem- ical theory can acquire. However, once this level has been reached, it can be useful to open one’s eyes again to the inspiration coming from concrete external problems.
Posn(R) and Eisenstein Series
Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices. The approach is presented in very classical terms and includes material on special functions, notably gamma and Bessel functions, and focuses on certain mathematical aspects of Eisenstein series.
Positive Operators
this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since the first publication of this book, (Academic Press, 1985), the subject of positive operators and Riesz spaces has found many applications in several disciplines, including social sciences and engineering. It is well known that many linear operators between Banach spaces arising in classical analysis are in fact positive operators. Therefore we study here positive operators in the setting of Riesz spaces and Banach lattices and from both the algebraic and topological points of view.
Points fixes, zéros et la méthode de Newton = Fixed points, zeros and Newton's method
This work is devoted to the fixed points of differentiable applications, to the zeros of non-linear systems and to Newton's method. It is aimed at masters students or preparing for the aggregation of mathematics and confirmed researchers. The first part is devoted to the method of successive approximations and confronts a “dynamical systems” point of view (Grobman-Hartman theorems, of the stable manifold) with examples resulting from numerical analysis. The second part of this work presents Newton's method and its most recent developments (Smale's alpha theory, under- or over-determined systems). It presents a new approach to this subject and a set of original results published for the first time in a French-language work. This is an advanced text on fixed points, zeros of nonlinear systems and the Newton method. Its first part, devoted to fixed points, includes the Grobman-Hartman and the stable manifold theorems. The second part describes the Newton method from a modern point of view: Smale's alpha theory, underdetermined and overdetermined systems of equations. These results are illustrated by various examples from numerical analysis.
Piecewise-smooth Dynamical Systems : Theory and Applications
The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yet applicable way. The key concept is that of a discontinuity-induced bifurcation, which generalizes diverse phenomena such as grazing, border-collision, sliding, chattering and the period-adding route to chaos. The results are presented in an informal style and illustrated with copious examples, both theoretical and experimental.
Physics of Spin in Solids : Materials, Methods and Applications
Most recent publications on spin-related phenomena focus on technological aspects of spin-dependent transport, with emphasis on the specific needs of spintronics. The present publication targets rather fundamental problems related to the physics of spin in solids, such as: (1) manifestation of spin and orbital polarization in spectroscopy, including valence and X-ray photoemission, magneto-optics, low-energy electron scattering on the surface; (2) application of new methods for interpretation and determination of magnetic low-lying excitations in the bulk and on the surface; (3) recent progress in evaluation of different type of magnetic forces including spin-orbit and exchange interaction, with subsequent determination of anisotropy and spin-ordering structure; (4) general problems of spin-dependent transport in semiconductors and metals, such as current-caused torque effect on spins at interfaces and spin injection in quantum dot systems; (5) problems in understanding the spin-dependent trends in unconventional superconductors; (6) many-body problems in solid state physics and recent progress in evaluation of self-energy effects; (7) fabrication of new magnetic materials with pre-programmed properties based on assembly from nano-particles, etc.
Physics of Societal Issues : Calculations on National Security, Environment, and Energy
This book on the Physics of Societal Issues, The subdivisions of physics - nuclear physics, particle physics, condensed-matter physics, biophysics. Physics of Societal Issues is intended for undergraduate and doctoral students who may work on applied topics, or who simply want to know why things are the way they are.
Physics of Ferroelectrics : A Modern Perspective
During the past two decades, revolutionary breakthroughs have occurred in the understanding of ferroelectric materials, both from the perspective of theory and experiment. This book addresses the paradigmatic shifts in understanding brought about by these breakthroughs.
Pharmacy calculations : An introduction for pharmacy technicians ; 2nd ed.
Designed for pharmacy technician students enrolled in an education and training program, for technicians reviewing for the national certification exam, and for on-site training and professional development in the workplace. It provides a complete review of the basic mathematics concepts and skills upon which a more advanced understanding of pharmacy-related topics must be built
Pharmacocinétique avec Mathematica® = Pharmacokinetics with Mathematica®
This work provides a computer method which allows you to calculate yourself the dispensing of a drug and to visualize the result by varying the ordinary parameters of the medical prescription. It is based on the practical use of Mathematica® as a single or repeated administration regardless of the route of administration in one or two distribution compartments. The traditional differential equations are all replaced by the Laplace transformation which also makes it possible to better differentiate the phenomenon of linearity and non-linearity. It also offers an introduction to population kinetics which, in essence, validates previous calculations and paves the way for modern use of pharmacokinetics for drugs that require greater precision of use. Students of medicine, science and pharmacy will benefit from reading this book, as will drug professionals.
Pharmaceutical calculations : A conceptual approach
Combines conceptual and procedural understanding for students and will guide you to master prerequisite skills to carry out accurate compounding and dosage regimen calculations. It is a book that makes the connection between basic sciences and pharmacy. It describes the most important concepts in pharmaceutical sciences thoroughly, accurately and consistently through various commentaries and activities to make you a scientific thinker, and to help you succeed in college and licensure exams. Calculation of the error associated with a dose measurement can only be carried out after understanding the concept of accuracy versus precision in a measurement. Similarly, full appreciation of drug absorption and distribution to tissues can only come about after understanding the process of transmembrane passive diffusion.
Petri nets and other models of concurrency - ICATPN 2007 ; 28th International Conference on Applications and Theory of Petri Nets and Other Models of Concurrency, ICATPN 2007, Siedlce, Poland, June 25-29, 2007, Proceedings
Constitutes the refereed proceedings of the 28th International Conference on Applications and Theory of Petri Nets and Other Models of Concurrency, ICATPN 2007, held in Siedlce, Poland.
