الصفحة 347
الصفحة 347
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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.

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A healthcare professionals training system

The Objective Structured Clinical Examination (OSCE) is a type of examination often used in health sciences. It is designed to test clinical skill performance and competence in a range of skills. It is a practical, real-world approach to learning and assessment. Comprises a circuit of short (5-10 minutes) stations, in which each candidate is examined on a one-to-one basis with one or two impartial examiner(s) and patients who are either real or simulated (actors or electronic patient simulators). Each station has a different examiner; in comparison, the traditional method of clinical examination is when a candidate is assigned to an examiner for the entire examination.

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A handful of happiness herbs

Depression is a multifactorial disorder that affects millions of people worldwide, and none of the currently available therapeutics can completely cure it. Thus, there is a need for developing novel, potent, and safer agents. Recent medicinal chemistry findings on the structure and function of the serotonin 2A (5-HT2A) receptor facilitated design and discovery of novel compounds with antidepressant action. The consumption of cocoa-based products rich in bioactive compounds can be related to decreased risk in coronary heart problems, hypertension, diabetes, and depression...

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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.

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A Guide to Lead-free Solders : Physical Metallurgy and Reliability

While tin/lead solders have dominated the electronics industry for many years, environmental considerations and new legislation are forcing change. Backed by more than ten years of research in Pb-free solders, many electronics manufacturers are poised for conversion. A Guide to Lead-free Solders is intended as a tool to help industry as it moves into a new era in the production and use of solders. An overview of the principles of soldering technology is provided beginning with the theory underlying each concept. Focusing on the most up-to-date methods for testing and characterization, these theories are then reinforced by experimental examples and industrial applications.

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A Guide to Graph Algorithms

Offers high-quality content in the research area of graph algorithms and explores the latest developments in graph algorithmics. The reader will gain a comprehensive understanding of how to use algorithms to explore graphs. It is a collection of texts that have proved to be trend setters and good examples of that. The book aims at providing the reader with a deep understanding of the structural properties of graphs that are useful for the design of efficient algorithms. These algorithms have applications in finite state machine modelling, social network theory, biology, and mathematics. The book contains many exercises, some up at present-day research-level. The exercises encourage the reader to discover new techniques by putting things in a clear perspective.

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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.

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A Guide to Fluid Mechanics

The theory is explained using ordinary and accessible language, where fluid mechanics is presented in analogy to solid mechanics to emphasize that they are all the application of Newtonian mechanics and thermodynamics. All the informative and helpful illustrations are drawn by the author, uniting the science and the art with figures that complement the text and provide clear understanding.

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A Geometry of Approximation : Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns

A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost.

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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.

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A First Course in Differential Equations

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics.

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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.

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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.

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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.

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A Dictionary of World History

This wide-ranging dictionary contains a wealth of information on all aspects of history, from prehistory right up to the present day. Accessible, clear, and concise entries include biographies of key figures in world history (living and dead), separate entries for every country in the world (summarising key historical events), and in-depth entries on religious and political movements, international organizations, and major conflicts and events and their after-effects.

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A dictionary of law

A Dictionary of Law' is an essential reference work, described by leading university lecturers as 'the best law dictionary' and favoured by law students and legal professionals alike. The tenth edition features over 4,900 clear and concise definitions on major terms, concepts, and processes within the English legal system, and is a useful source of information for any of the many countries that base their legal system on English law.

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A Dictionary of Electronics and Electrical Engineering

This popular dictionary, formerly published as the Penguin Dictionary of Electronics, has been extensively revised and updated, providing clear, concise, and jargon-free A-Z entries on key terms, theories, and practices in the areas of electronics and electrical science. Topics covered include circuits, power, systems, magnetic devices, control theory, communications, signal processing, and telecommunications, together with coverage of applications areas such as image processing, storage, and electronic materials.

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A Dictionary of Biomedicine

A Dictionary of Biomedicine fills the need to define the specialist language used within an evolving field by offering clear, concise definitions of even the most complex biomedical terms. It includes more than 10,000 A-Z entries on all areas of biomedicine, such as genomics and biomedical science. Entries are authoritative and wide-ranging, covering terms from the related areas of anatomy, genetics, molecular bioscience, pathology, pharmacology, and clinical medicine.

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A Demographic Perspective on Gender, Family and Health in Europe

Examines the triangle between family, gender, and health in Europe from a demographic perspective. It helps to understand patterns and trends in each of the three components separately, as well as their interdependencies. It overcomes the widely observable specialization in demographic research, which usually involves researchers studying either family or fertility processes or focusing on health and mortality.

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A Course on Mathematical Logic

This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability.

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