الصفحة 115
الصفحة 115
A First Course in Harmonic Analysis
This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact that both, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem.
A first course in differential equations with modeling applications
A comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory.
A Field Guide to Algebra
Focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians.
A Course in Microeconomic Theory
Offers a treatment of microeconomic theory - one that stresses the behavior of the individual actor in various institutional settings. This book begins with an exposition of the standard models of choice and the market. It is designed for the first-year graduate microeconomic theory course and is accessible to advanced undergraduates as well.
A Course in Enumeration
Leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject.
A Course in Calculus and Real Analysis
Provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors have strived to make a distinction between the intrinsic definition of a geometric notion and its analytic characterization. It highlight the fact that calculus provides a firm foundation to several concepts and results that are generally encountered in high school and accepted on faith. For example, one can find here a proof of the classical result that the ratio of the circumference of a circle to its diameter is the same for all circles. Also, this book helps get a clear understanding of the concept of an angle and the definitions of the logarithmic, exponential and trigonometric functions together with a proof of the fact that these are not algebraic functions. A number of topics that may have been inadequately covered in calculus courses and glossed over in real analysis courses are treated here in considerable detail. As such, this book provides a unified exposition of calculus and real analysis.
A Contingency-Based View of Chief Executive Officers' Early Warning Behaviour : An Empirical Analysis of German Medium-Sized Companies
Organizations need to identify risks and chances of environmental changes in order to adapt to or possibly even to influence them. Early warning which comprises scanning and interpretation plays an important role in this process. Whereas the traditional contingency approach considers early warning as a part of the organizational structure, the extended contingency theory assumes the additional influence of an individual’s personality on early warning. Andreas Kirschkamp empirically analyses the early warning behavior of Chief Executive Officers in German medium-sized companies. First, he presents the design variables of early warning, then the influencing contingency variables. On the basis of the scholarly research on psychological and contingency theory, the author deduces hypotheses and tests them. The results show that early warning behavior is not only influenced by traditional contingency variables but also by personal attitudes.
A Concise Course on Stochastic Partial Differential Equations
Concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. All kinds of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations.
A comparison between ovate pontic and modified ridge-lap pontic
Aims to explore the differences in aesthetic, hygienic, and functional aspects of replacing missing anterior teeth using various pontic designs, with a particular focus on the ovate pontic design with a focus on the different stages needed for a pontic design placement on a ridge missing either a single or multiple teeth and the procedures needed to condition the soft tissues surrounding the prothesis.
A beginner's guide to urban design and development : the ABC of quality, sustainable design
Provides invaluable guidance to all those with an interest in placemaking and the built environment, from those with no experience to those who have worked for many years in industry, illustrating key principles that will secure higher quality, more sustainable design in accessible, jargon-free language. Explains the design process in a straightforward way, exploring the different roles and highlighting the opportunities and limitations different agencies have to influence design over the various stages of the process. Examples from the UK and worldwide look at how the system operates and how best practice can make a real difference on the ground. Case studies examine situations where quality or sustainability fell short – and how this could have been avoided. This book also showcases a variety of evaluation tools, explaining how they operate, and giving guidance on how to create project-specific tools to drive schemes forward. With community empowerment at its core, the book explains technical language and shares bountiful knowledge to broaden place democracy and make influencing design accessible to many, not just a few.
A Basic Course on Probability Theory
Develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. Theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference.
70 Years of Levothyroxine
Presents the history, pharmacokinetics and pharmacodynamics of levothyroxine, discussing its role in the thyroid pathophysiology of patients of various ages and during pregnancy. It also describes the influence of levothyroxine on heart, bone and in cancer. When it was first synthesized in 1949, levothyroxine represented a significant advance in the treatment of hypothyroidism, providing a safe and effective treatment option for millions of hypothyroid patients around the globe. This synthetic form of thyroxine is now one of the most prescribed drugs in the world. Levothyroxine was first introduced by Merck KGaA,Darmstadt, Germany, in 1972, and since then the company has remained actively engaged in research on this mainstay of hypothyroidism treatment.
50 Years of EU Economic Dynamics : Integration, Financial Markets and Innovations
On the occasion of the 50th anniversary of the European Union experts present their analyses of historical developments and new economic challenges for the EU. After a reflection on historical dynamics, the contributors point out the dramatic economic shifts between Europe, Asia and the US. Representatives from major central banks (including the ECB), other leading banks, and academia analyze the dynamics of the Eurozone and financial market integration in the context of globalization and economic growth. Furthermore, the authors discuss the challenges of information and communication technologies by means of various country analyses. Moreover, the Schumpeterian prospects for Europe and the Lisbon Agenda, the long-term challenges of EU pension reforms, emission trading systems in the EU, and options for a new EU constitution are highlighted. At the bottom line of this EU analysis are major implications for investors, managers, policy-makers and the public at large in both the EU and the global economy.
40 Puzzles and Problems in Probability and Mathematical Statistics
"40 Puzzles and Problems in Probability and Mathematical Statistics" is intended to teach the reader to think probabilistically by solving challenging, non-standard probability problems. The motivation for this clearly written collection lies in the belief that challenging problems help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts. The selected problems fall into two broad categories. Problems related to probability theory come first, followed by problems related to the application of probability to the field of mathematical statistics. All problems seek to convey a non-standard aspect or an approach which is not immediately obvious.
3-D Shape Estimation and Image Restoration : Exploiting Defocus and Motion-Blur
Images contain information about the spatial properties of the scene they depict. When coupled with suitable assumptions, images can be used to infer three-dimensional information. This useful volume concentrates on motion blur and defocus, which can be exploited to infer the 3-D structure of a scene—as well as its radiance properties—and which in turn can be used to generate novel images with better quality. 3-D Shape Estimation and Image Restoration presents a coherent framework for the analysis and design of algorithms to estimate 3-D shape from defocused and motion blurred images, and to eliminate defocus and motion blur to yield "restored" images. It provides a collection of algorithms that are optimal with respect to the chosen model and estimation criterion.
3D Segmentation for medical images (OsteoVision) = التقطيع ثلاثي الأبعاد للصور الطبية
With the increasing integration of AI across various sectors, artificial intelligence (AI) is already playing a significant role in the healthcare industry, and its use is expected to grow further. AI systems used in image processing and computer vision algorithms have shown a significant ability to perform many operations such as segmentation, classification, and detection. This project presents the application of computer vision algorithms in the field of medical imaging for diagnostic, therapeutic, and interventional purposes. This thesis explores the use of several computer vision algorithms to address different pathologies, specifically brain tumors (glioma) (see Appendix A) and knee osteoarthritis (OA), as well as tracking the progression of knee osteoarthritis using the Kellgren and Lawrence (KL) grading system, a common method for classifying the severity of OA into five grades. To achieve the desired impact, the project employs various techniques, including 3D segmentation for brain tumors, 2D segmentation for knee joints, and multinomial classification for determining the severity of knee OA injuries. The primary aims of the project are to enhance diagnostic accuracy, assist in creating treatment plans, provide an assistive tool for healthcare providers to make more informed decisions, leverage AI's capabilities to detect abnormalities that might escape the human eye, and streamline workflow. To facilitate these goals, the project incorporates a user-friendly UI, a website, and a Flutter-based mobile application, enabling healthcare providers to efficiently integrate these tools into their practice and improve patient care.
3D imaging in endodontics : A new era in diagnosis and treatment
Full understanding of the role of cone beam computed tomography (CBCT) in helping to solve many of the most challenging problems in endodontics. It will shorten the learning curve in application of this exciting imaging technology in a variety of contexts: difficult diagnostic cases, treatment planning, evaluation of internal tooth anatomy prior to root canal therapy, nonsurgical and surgical treatments, early detection and treatment of resorptive defects, and outcomes assessment. The ability to obtain an accurate 3D representation of a tooth and the surrounding structures by means of noninvasive CBCT imaging is changing the approach to clinical decision making in endodontics. Clinicians long accustomed to working in very small, three-dimensional spaces are no longer constrained by the limitations of two-dimensional imaging. The challenges of mastering the new technology can, however, be daunting. The detailed guidance contained in this book will help endodontists to take full advantage of the important benefits offered by CBCT.
3D imaging in endodontics : A new era in diagnosis and treatment
Provides readers with a full understanding of the role of cone beam computed tomography (CBCT) in helping to solve many of the most challenging problems in endodontics. It will shorten the learning curve in application of this exciting imaging technique in a variety of contexts: difficult diagnostic cases, treatment planning, evaluation of internal tooth anatomy prior to root canal therapy, nonsurgical and surgical treatments, early detection and treatment of resorptive defects, and outcomes assessment.
3D design reconstruction
This report will talk about a way to design and rebuild a cheap, true-to-the-truth 3D system using reverse engineering. The system provides the service of reconstructing objects into 3D models by placing the object in a predetermined place facing a set of sensors and cameras at a certain distance and at precise angles, using the angle of rotation for each image and combining the points of triangulation we can build a form of 3D modeling types. These models can be used in digital animation or printed with 3D printers for a wide variety of applications.
3-D Computer vision : Principles, algorithms and applications
Offers advanced content on computer vision (basic content can be found in its prerequisite textbook, “2D Computer Vision: Principles, Algorithms and Applications”), including the basic principles, typical methods and practical techniques. It is intended for graduate courses on related topics, e.g. Computer Vision, 3-D Computer Vision, Graphics, Artificial Intelligence, etc. The book is mainly based on my lecture notes for several undergraduate and graduate classes I have offered over the past several years, while a number of topics stem from my research publications co-authored with my students. This book takes into account the needs of learners with various professional backgrounds, as well as those of self-learners. Furthermore, it can be used as a reference guide for practitioners and professionals in related fields.
