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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.
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 General introduction to data analytics
A guide to the principles and methods of data analysis that does not require knowledge of statistics or programming. A guide to the reasoning behind data mining techniques. A unique illustrative example that extends throughout all the chapters. Exercises at the end of each chapter and larger projects at the end of each of the text’s two main parts
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 Course in Credibility Theory and its Applications
It covers the subject of Credibility Theory extensively and includes most aspects of this topic from the simplest case to the most general dynamic model. The first four chapters contain plenty of material The book therefore treats explicitly the tasks which the actuary encounters in his daily work such as estimation of loss ratios, claim frequencies and claim sizes. The models are worked out in detail (including the estimation of structural parameters) so that they can immediately be applied in practice. Most exercises are based on real insurance data and real situations from practice and many of them have the characteristics of a case study. The extension to practical problems arising from the general area of finance is often quite straightforward. This book deserves a place on the bookshelf of every actuary and mathematician who works, teaches or does research in the area of insurance and finance.for a first course on Credibility.
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 Computer Scientists Guide to Cell Biology
Provides a succinct treatment of the general concepts of cell biology, furnishing the computer scientist with the tools necessary to read and understand current literature in the field.After a brief introduction to cell biology, the text focuses on the principles behind the most-widely used experimental procedures and mechanisms, relating them to well-understood concepts in computer science. The presentation of the material has been prepared for the reader’s quick grasp of the topic: comments on nomenclature and background notes can be ascertained at a glance, and essential vocabulary is boldfaced throughout the text for easy identification.
A Companion to islamic art and architecture ; 2 Vol. Set : Blackwell companions to art history
Bridges the gap between monograph and survey text by providing a new level of access and interpretation to Islamic art. The more than 50 newly commissioned essays revisit canonical topics, and include original approaches and scholarship on neglected aspects of the field. showcases more than 50 specially commissioned essays and an introduction that survey Islamic art and architecture in all its traditional grandeurEssays are organized according to a new chronological-geographical paradigm that remaps the unprecedented expansion of the field and reflects the nuances of major artistic and political developments during the 1400-year span. Represents recent developments in the field, and encourages future horizons by commissioning innovative essays that provide fresh perspectives on canonical subjects, such as early Islamic art, sacred spaces, palaces, urbanism, ornament, arts of the book, and the portable arts while introducing others that have been previously neglected, including unexplored geographies and periods, transregional connectivities, talismans and magic, consumption and networks of portability, museums and collecting,
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 Benchmark Approach to Quantitative Finance
The general framework is used to provide an understanding of the nature of stochastic volatility. The book is intended for a wide audience that includes quantitative analysts, postgraduate students and practitioners in finance, economics and insurance. It aims to be a self-contained, accessible but mathematically rigorous introduction to quantitative finance for readers that have a reasonable mathematical or quantitative background. Finally, the book should stimulate interest in the benchmark approach by describing some of its power and wide applicability.
7th Asian-Pacific Conference on Medical and Biological Engineering : APCMBE 2008 22–25 April 2008 Beijing, China
Presents the proceedings of the 7th Asian-Pacific Conference on Medical and Biological Engineering (APCMBE 2008). Themed "Biomedical Engineering – Promoting Sustainable Development of Modern Medicine" the proceedings address a broad spectrum of topics from Bioengineering and Biomedicine.
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.
25 Years of P53 Research
Communication, awareness and access to information: Given the complexity of the field and the fact that data pertaining to each particular aspects of p53 biology or deregulation are scattered in many different publications, it is extremely difficult to access the full scale of relevant information of any specific p53-related topic. This book may help in this task by putting into perspective both general considerations on the p53 pathway and more specific information on various aspects of p53. In the longer term, however, open access to p53 complexity will require the development of knowledge bases accessible through the web and using simple navigation tools to guide users towards the specific information they need. Several efforts are currently being developed in that direction. They need to be strenghtened and better integrated within the rapidly growing galaxy of web-based information sources on molecular and individual variations in cancer. 2. Reference functional assays and structural analysis: Given the huge diversity of cellular and animal models for wild-type or mutant p53 functions, it will be important to set up standard, universally accepted assays to measure critical p53 protein functions.
2050 China : Becoming a Great Modern Socialist Country
Arranged and developed around the theme of “2050 China,” it analyzes the factors and advantages of the Chinese road to socialist modernization, explores and summarizes the development goal and the basic logic of the socialist modernization of China, and further shows the general basis of the primary stage of socialism.
101 Things I Learned in Architecture School
Concise lessons in design, drawing, the creative process, and presentation, from the basics of "How to Draw a Line" to the complexities of color theory
100 years of relativity : Space-time structure - Einstein and beyond
Contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century.
100 cases in clinical pathology and laboratory medicine
Presents 100 clinical scenarios commonly seen by medical students and junior doctors in the emergency department, outpatient clinic, operating theatre or in general practice. A succinct summary of the patient's history, examination and initial investigations is followed by questions on each case, with particular emphasis on the interpretation of the results and in which an understanding of the underlying clinical pathology is central to arriving at the correct diagnosis. The answer includes a detailed discussion on each topic, providing an essential revision aid as well as a practical guide for students and junior doctors, especially those preparing for undergraduate and postgraduate examinations.
(R)Evolution : Organizations and the Dynamics of the Environment
Investigates the possible changes needed for industrial organizations to adapt to and remain competitive in their ever evolving environment. (R)Evolution’s main area of contribution to these very complex issues is embedded in the work’s ambitious attempt to borrow from evolutionary biology and genetics not only metaphors but also concepts and models to be adapted to the management of business organizations. The work provides us with a comprehensive vision of adaptation and variation in the business community, integrating various intellectual inputs which are based on an evolutionary vision of economic behavior. Using an extensive study of the literature in management science, and applying new models and methodologies in numerous case studies, Dekkers draws many insightful conclusions including the claim that companies often evolve slower than generally expected. Furthermore the research calls into question the effectiveness of the common practice of corporate reorganization. Embracing and merging most major contemporary developments in the theories of change into a comprehensive integrated approach, (R)Evolution is an invaluable resource for researchers specializing in the management of technological change.
