Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.
Life in Singapore is good, sometimes even — dare we say it? — absurd. In Singapore Siu Dai, Felix Cheong, with a little help from illustrator PMan, finds humour in the everyday. From our kiasu behaviour to weird geographical boundaries called GRCs and OB markers, no quirk is left unturned. These 50 short stories, praised by Singapore’s top humorists for their brew of wit and snappy storytelling, will raise the so-called SG Conversation to a new, satirical pitch. So laugh along as we look forward to Singapore’s 50th birthday! “Read Felix’s twisted but funny stories about life, love, school, men, women, stupidity and some more subjects as well. These stories are fresh material. Instead of thinking that life is great and spend time yanking a nose hair, you should sit back, relax and enjoy Singapore Siu Dai.” - Moe Alkaff, comedian
The United Nation's Sustainable Development Goals call for the establishment of Good Health and Well-being and target a universal digital healthcare ecosystem by 2030. However, existing technology infrastructure is ineffectual in achieving the envisioned target and requires massive reconfiguration to achieve its intended outcome. This book suggests a way forward with fair and efficient digital health networks that provide resource efficiencies and inclusive access to those who are currently under-served. Specifically, a fair and efficient digital health network that provides a common platform to its key stakeholders to facilitate sharing of information with a view to promote cooperation and maximise benefits. A promising platform for this critical application is ‘cloud technology’ with its offer of computing as a utility and resource sharing. This is an area that has attracted much scholarly attention as it is well-suited to foster such a network and bring together diverse players who would otherwise remain fragmented and be unable to reap the benefits that accrue from cooperation. The fundamental premise is that the notion of value in a digital-health ecosystem is brought about by the sharing and exchange of digital information. However, notwithstanding the potential of information and communication technology to transform the healthcare industry for the better, there are several barriers to its adoption, the most significant one being misaligned incentives for some stakeholders. This book suggests among other findings, that e-health in its true sense can become fair and efficient if and only if a regulatory body concerned assumes responsibility as the custodian of its citizens’ health information so that ‘collaboration for value’ will replace ‘competition for revenue’ as the new axiom in delivering the public good of healthcare through digital networks.
Pentecostals have not sufficiently worked out a distinctively Pentecostal philosophy of art and aesthetics. In Pentecostal Aesthetics: Theological Reflections in a Pentecostal Philosophy of Art and Aesthetics, with a foreword by Amos Yong, Steven Félix-Jäger corrects this by reflecting theologically on art and aesthetics from a global Pentecostal perspective, particularly through a pneumatic Pentecostal lens. Félix-Jäger contends that a Pentecostal philosophy of art and aesthetics must comply with the global, experiential, and pneumatocentric nature of the Pentecostal movement. Such a philosophy can be ontologically grounded in a relativistic theory of art. Theological reflections concerning the nature and purpose of art must then be sensitive to the ontological foundations secured thereof. In this fashion, Pentecostals can gain ample insight about the Spirit’s work in today’s contemporary artworld.
Solar Thermal Systems summarizes the theoretical and practical knowledge gained from over 20 years of research, implementation and operation of thermal solar installations. This work provides answers to a variety of key questions by examining current solar installations, drawing upon past experiences and making proposals for future planning. - how do system components and materials behave under continuous operation? - which components have proven themselves and how are they used properly? - what are the causes of defects and how can they be avoided? - how long is the service life of modern solar installations? - what is the difference between the various solar collectors? - what performance can be expected from solar installations? - how are solar installations planned and structured correctly? In addition to practical recommendations on implementation, the theoretical background is also clearly explained. This book is a valuable guide for all those who deal with solar technology and at the same time a reference for the daily work of planners and fitters. It will also prove a useful tool for training and education.
This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers.? Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB? code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete. This book is intended for advanced undergraduate and early graduate students in numerical analysis and scientific computing and researchers in related fields. It is appropriate for a course on numerical methods for partial differential equations.
The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.
Written by a pupil of Heinrich Schenker, this outstanding work develops and extends Schenker's approach. More than 500 examples of music from the Middle Ages to the 20th century complement the detailed discussions and analyses.
Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.
This book represents a synthesis of research findings on energy in remote rural areas in East Nusa Tenggara in Indonesia, demarcating a localised understanding of electricity issues that are relevant to similar community profiles in other developing countries, which are facing similar challenges. The authors discuss several key issues relating to electricity access in the Indonesian context, such as government energy expenditure and policies for geothermal development. The book also presents empirical estimates of the social effects of electricity access. In focusing on an underdeveloped area in eastern Indonesia affected by innumerable problems relating to poverty, the book contributes to related discussions on the first Sustainable Development Goal in proposing possibilities for poverty reduction vis-à-vis improved energy infrastructure. It demonstrates the impact of electricity access on people's welfare. Co-published with the Indonesia Institute of Science (LIPI), this updated edition is a valuable reference for policymakers and scholars interested in the electricity sector in Indonesia and rural areas in developing countries elsewhere. It appeals to specialists researching and working in the energy sector and is also interested in scholars and practitioners focused on sustainable development and Indonesian policymaking more broadly.
Now in a fully updated 9th Edition, Kendig's Disorders of the Respiratory Tract in Children, by Drs. Robert Wilmott, Andrew Bush, Robin Deterding, and Felix Ratjen, continues to provide authoritative, evidence-based information to residents, fellows, and practitioners in this wide-ranging specialty. Bringing key knowledge from global experts together in one easy-to-understand volume, it covers everything from the latest basic science and its relevance to today's clinical issues, to improving patient outcomes for the common and rare respiratory problems found in newborns and children worldwide. - Uses succinct, straightforward text, numerous tables and figures, summaries at the end of each chapter, and more than 500 full-color images to convey key information in an easy-to-digest manner. - Contains new chapters reflecting expanding knowledge on the respiratory complications of Down syndrome and other genetic disorders, modern molecular therapies for cystic fibrosis and asthma, and pulmonary embolism and thromboembolic disease. - Includes access to a new video library with demonstrations of key procedures. - Features a new templated format with more descriptive headings and bulleted text for quick reference and navigation. - Covers today's key issues, including the genetic basis of respiratory disease, new and emerging respiratory infections, interstitial lung diseases in infants and young children, technology and diagnostic techniques for pulmonary function tests, emerging lung infections, and new therapies for cystic fibrosis and asthma. - Provides up-to-date instruction on important procedures, such as bronchoscopy and pulmonary function testing. - Highlights the knowledge and expertise of three new editors, as well as more than 100 world authorities in the fields of pediatrics, pulmonology, neurology, microbiology, cardiology, physiology, diagnostic imaging, critical care, otolaryngology, allergy, and surgery. - Expert ConsultTM eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, and references from the book on a variety of devices.
This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: duplication of the cube trisection of an angle quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849 1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry.
The intent of this book is to provide a detailed and specific set of guidelines for both aquapreneurs and researchers related to the application of Biofloc Technology in aquaculture. This book discusses key issues related to both adoption and practices for aquaculture businesses, how to monitor and assess quality and quantity of biofloc, and how to manage the microbial composition and sludge reduction risk in the fish and shrimp culture. The book works through the specific application of disease management and feed management tools for aquaculture from the perspective of this technology. Particular attention is paid on comparing the prototypes of floc development and evaluation on its efficacy in aquaculture. Note: T&F does not sell or distribute the hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
The only book containing a complete treatment on the construction of electric power lines. Reflecting the changing economic and technical environment of the industry, this publication introduces beginners to the full range of relevant topics of line design and implementation.
24 Songs by Felix Mendelssohn and Fanny Mendelssohn Hensel contains youthful gems by two great Romantic composers, originally published only under Felix Mendelssohn's name. Includes word-by-word translations of the Italian, French and German text as well as a translation into the International Phonetic Alphabet.
This is the first book focusing exclusively on fuzzy dual numbers. In addition to offering a concise guide to their properties, operations and applications, it discusses some of their advantages with regard to classical fuzzy numbers, and describes the most important operations together with a set of interesting applications in e.g. optimization, decision-making and system design. The book provides students, researchers and professionals the necessary theoretical background to apply this particular subset of fuzzy numbers to decision-making problems involving uncertainty. Further, it shows how to solve selected engineering and management problems and includes detailed numerical examples.
This book offers a comprehensive and interdisciplinary account of religious identities in the Global South. Drawing on literature in various fields, Felix Wilfred analyzes how religious identities intersect with the processes of globalization, modernity, and postmodernity. He illustrates how the study of religion in the Global North often revolves around questions of secularism and fundamentalism, whereas a neo-Orientalist quality often attends study of religion in the Global South. These approaches and theorizing fail to incorporate the experiences of lived religion in the South, especially in Asia. Historically, the religions in the South have played a highly significant role in resistance to the domination by the colonial forces, an important reason for the continued attachment of the peoples of the South to their religious universe. This book puts the two regions and their scholarly norms in conversation with one another, exploring the social, political, cultural, and economic implications.
Addresses challenging aspects of robotics research, including the dynamics of robots with elastic parts and optimal control of manipulators. Basics in kinematics, dynamics, drives, and control and sensor systems are discussed. To more efficiently evaluate the elastic compliance of robots and their dynamic accuracy, the authors propose new computer techniques and provide much experimental data. Optimal control methods presented in the book allow robotics engineers to increase the speed and productivity of robotic operations and reduce energy consumption. New developments in robotics covered include pneumatic sensors, adaptive grippers, special robotic systems for measurement and inspection, and wall-climbing robots with technological manipulators. The book will be an important reference for mechanical engineers, electrical engineers, robotics engineers, and researchers in automatic control.
“Schrödinger’s cat” was an infamous and cruel thought experiment dreamt up in the last century to expose one of the mistaken ideas current in science at that time. Now the cat is out of the bag and, in revenge, he has written up his own ideas on the false trails that modern science has followed. With time to spare he has worked with a number of strange authors to collate this varied and thought-provoking anthology with themes varying from the Falklands War, LGBT, Eastern religion and even Russian spies in the Sub Continent.
This is the last in a series of books illustrating Brazilian lichen specimens collected by the second author in the past decade. This volume includes some specimens and species that were not treated in previous books. As ever, it includes many isotypes of species that were recently described. The main purpose is to give many people virtual access to these unique specimens.
This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures.
These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics./div This volume II presents a paradigmatic realisation of Klein’s approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein liked to stress: “Projective geometry is all geometry”. Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.
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