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A History of Abstract Algebra
This presentation provides an account of the intellectual lineage behind many of the basic concepts, results, and theories of abstract algebra.The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing context from which the reader may gain a deeper appreciation of the mathematics involved.
A Guide to Sustainable Corporate Responsibility : From Theory to Action
Discusses the challenges and opportunities faced by companies in an age that increasingly values sustainability and demands corporate responsibility. Beginning with the historical development of corporate responsibility, this book moves from academic theory to practical application. It points to ways in which companies can successfully manage their transition to a more responsible, sustainable way of doing business, common mistakes to avoid and how the UN Sustainable Development Goals are integral to any sustainability transformation.
A Guide to Methods in the Biomedical Sciences
A Guide to Methods in the Biomedical Sciences gives a basic description of common methods used in research. This is not intended to be a methods book. Rather, it is intended to be a book that outlines the purpose of the methods described, their limitations and provide alternative approaches as appropriate. Thousands of methods have been developed in the various biomedical disciplines and those covered in this book represent the basic, essential and most widely used methods in several different disciplines. The historical background (including some interesting anecdotes) leading to the development of ground-breaking techniques are described, especially those that significantly advanced the field of biomedical research. Advances that earned their inventors prestigious Nobel Prizes are emphasized. The book is divided into six sections, highlighting selected methods in protein chemistry, nucleic acids, recombinant DNA technology (including forensic based methods), antibody-based techniques, microscopy and imaging, and the use of animals in biomedical sciences.
A Guide to Good Occlusal Practice
Considers occlusion within the different disciplines of clinical dentistry, taking into account the challenges specific to each, in order to develop guidelines of good occlusal practice (GGOP). The GGOP for each discipline has benefited from an authoritative contribution of a recognised specialist in that field. Readers will find full description of what constitutes good occlusal practice in, for example, simple and advanced restorative dentistry, removable prosthodontics, the restoration of the worn dentition and implantology. It is clearly explained why and how the GGOP differ in the various branches of dentistry, the key point being that it is the support for the occlusal surfaces that determines GGOP.
A guide for delineation of lymph nodal clinical target volume in radiation therapy
This book will facilitate the understanding of cross-sectional anatomy details and assist radiation oncologists in the difficult task of a detailed delineation of lymph node targets in multiple anatomical locations.
A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
This book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.
A First Course in Statistical Inference
Offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data.
A Dressing Method in Mathematical Physics
The monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new non-trivial solutions of a given equation from (maybe trivial) solution of the same or related equation.
A Distributed Coordination Approach to Reconfigurable Process Control
A Distributed Coordination Approach to Reconfigurable Process Control presents research that addresses this critical question, via developing a new distributed framework that will enable the building of a process control system that is capable of reconfigurability.
A Course in Derivative Securities : Introduction to Theory and Computation
Aims at a middle ground between the introductory books on derivative securities and those that provide advanced mathematical treatments. It is written for mathematically capable students who have not necessarily had prior exposure to probability theory, stochastic calculus, or computer programming. It provides derivations of pricing and hedging formulas (using the probabilistic change of numeraire technique) for standard options, exchange options, options on forwards and futures, quanto options, exotic options, caps, floors and swaptions, as well as VBA code implementing the formulas. It also contains an introduction to Monte Carlo, binomial models, and finite-difference methods.
A Concise Introduction to Mathematical Logic
This book is unique in that it is more concise than most others; the material is treated in a streamlined fashion. This allows the lecturer to select the material for a one-semester course on a topic more easily. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving, non-standard models and related subjects. The other chapters contain material on logic programming for computer scientists, model theory, recursion theory, Gödel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed where appropriate.
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 of the Dynamical Evolution of Planetary Systems ; Proceedings of the Sixth Alexander von Humboldt Colloquium on Celestial Mechanics Bad Hofgastein (Austria), 21-27 March 2004
The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize the papers on the formation of planetary systems, their stability and also the problem of habitable zones in extrasolar planetary systems. A special topic is the stability of Trojans in our planetary system, where more and more realistic dynamical models are used to explain their complex motions: besides the important contribution from the theoretical point of view, the results of several numerical experiments unraveled the structure of the stable zone around the librations points. This volume will be of interest to astronomers and mathematicians interested in Hamiltonian mechanics and in the dynamics of planetary systems.
A companion to astronomy and astrophysics : Chronology and glossary with data tables
Astronomy and Astrophysics is a comprehensive, fundamental, up-to-date reference book. It is filled with vital information and basic facts for amateur astronomers and professional astrophysicists, and for anyone interested in the Universe, from the Earth and other planets to the stars, galaxies and beyond. Although serious and thorough, the language, and ideas will attract the general reader, as well as students and professionals. Astronomy and Astrophysics consists of two main parts, a Timeline and a Dictionary. The Timeline is a concise history, arranged chronologically, which provides the complete story of cosmic discovery from early Chinese and Greek astronomy to the latest findings of modern astrophysics and robotic spacecraft.
A Biomass Future for the North American Great Plains : Toward Sustainable Land Use and Mitigation of Greenhouse Warming
The Great Plains of North America is a major global breadbasket but its agriculture is stressed by drought, heat spells, damaging winds, soil erosion and declining ground water resources. This book explores the possibility that the ecology and economy of the Plains region (and similar regions) would benefit from the introduction of perennial biomass crops. Biomass production and processing on the Plains (possibly aided by genetic engineering) would partially restore a perennial vegetative cover and create new employment opportunities. Biomass also offers a means of reducing fossil fuel use, providing fuel to local power plants and a feedstock for production of cellulosic ethanol, a gasoline substitute. Interest in biofuels is growing rapidly in public, political and business circles with rising fossil fuel prices and because of a growing recognition of the need for energy independence in petroleum importing countries.
A Beginner's Guide to Sketching Buildings & Landscapes : Perspective and Proportions for Drawing Architecture, Gardens and More! (With over 500 illustrations)
Provides dozens of examples showing you how to establish accurate perspective guidelines and proportions for your initial pencil sketches, setting your drawings up to succeed right from the start. If a sketch's perspective and proportions are correct, your finished work will look crisp and beautiful. If not, you'll have a frustrating time trying to correct the problems at a later stage--and the finished work will never look quite right. A Beginner's Guide to Sketching Buildings & Landscapes is here to help you avoid those frustrations and set up your composition for a finished piece that will make you proud. The detailed step-by-step lessons in this indispensable guide teach you how to: Establish a composition's point of view correctly / Locate the horizon line, dividing land and sky / Break down complicated scenes into simple component shapes / Create the right relationship between foreground and background / Express 3D imagery using 2-point and 3-point perspective
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.
3D-Position Tracking and Control for All-Terrain Robots
Rough terrain robotics is a fast evolving field of research and a lot of effort is deployed towards enabling a greater level of autonomy for outdoor vehicles. This book demonstrates how the accuracy of 3D position tracking can be improved by considering rover locomotion in rough terrain as a holistic problem. In this work, a mechanical structure allowing smooth motion across obstacles with limited wheel slip is used. In particular, it enables the use of odometry and inertial sensors to improve the position estimation in rough terrain. A method for computing 3D motion increments based on the wheel encoders and chassis state sensors is developed. The algorithm runs online and can be adapted to any kind of passive wheeled rover. Finally, sensor fusion using 3D-Odometry, inertial sensors and visual motion estimation based on stereovision is presented. The experimental results demonstrate how each sensor contributes to increase the accuracy and robustness of the 3D position estimation.
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.
