الصفحة 79
الصفحة 79
A Natural Introduction to Probability Theory
According to Leo Breiman (1968), probability theory has a right and a left hand. The right hand refers to rigorous mathematics, and the left hand refers to ‘pro- bilistic thinking’. The combination of these two aspects makes probability theory one of the most exciting ?elds in mathematics. One can study probability as a purely mathematical enterprise, but even when you do that, all the concepts that arisedo haveameaningontheintuitivelevel.Forinstance,wehaveto de?newhat we mean exactly by independent events as a mathematical concept, but clearly, we all know that when we ?ip a coin twice, the event that the ?rst gives heads is independent of the event that the second gives tails.
A Multidisciplinary Approach to Capability in Age and Ageing
This book provides insight on how to interpret capability in ageing – one’s individual ability to perform actions in order to reach goals one has reason to value – from a multidisciplinary approach. the book describes this demographic trends as well as the large global challenges and important societal implications this will have such as a worldwide increase in the number of persons affected with dementia, and in the ratio of retired persons to those still in the labor market. Through contributions from many different research areas, it discussed how capability depends on interactions between the individual (e.g. health, genetics, personality, intellectual capacity), environment (e.g. family, friends, home, work place), and society (e.g. political decisions, ageism, historical period).
A Modern Theory of Factorial Design
Factorial design plays a fundamental role in efficient and economic experimentation with multiple input variables and is extremely popular in various fields of application, including engineering, agriculture, medicine and life sciences. Factorial experiments are often used in case studies in quality management and Design for Six Sigma (DFSS).Factorial design plays a fundamental role in efficient and economic experimentation with multiple input variables and is extremely popular in various fields of application, including engineering, agriculture, medicine and life sciences. Factorial experiments are often used in case studies in quality management and Design for Six Sigma (DFSS).
A Modern Introduction to Probability and Statistics : Understanding Why and How
A Modern Introduction to Probability and Statistics has numerous quick exercises to give direct feedback to the students. In addition the book contains over 350 exercises, half of which have answers, of which half have full solutions. A website at www.springeronline.com/1-85233-896-2 gives access to the data files used in the text, and, for instructors, the remaining solutions. The only pre-requisite for the book is a first course in calculus; the text covers standard statistics and probability material, and develops beyond traditional parametric models to the Poisson process, and on to useful modern methods such as the bootstrap.
A Language of Contemporary Architecture : An Index of Topology and Typology
Provides an index of ideas, theories, projects, and definitions that string into a methodology for evaluating the contemporary language of architecture described as “contemporism” through a review of topology (form) and typology (system and elements). Trying to answer the postmodern question of how to move beyond modernism through a thread of architectural styles that tried to respond to deficiencies from the modern promise and contextual changes. Yet, the question remains, should this ongoing struggle to move beyond modernism be a stylistic battle? Has the present architectural practice ever left the modernist tendencies, and is there a structure for a contemporary language in architecture?. Presents a collection of highly illustrated projects that have worked under these parameters to break away from modernism in order to present a holistic integration of topology and typology as a language for “contemporism.” The index is illustrated with individual spreads, which can be read sequentially or independently, and encourages the reader to make their own connections. It also includes interviews and contributions from Toyo Ito, Anthony Vidler, Ben van Berkel, Christian Kerez, and Greg Lynn.
A History of Radionuclide Studies in the UK : 50th Anniversary of the British Nuclear Medicine Society
The British Nuclear Medicine Society celebrates its 50th Anniversary with this booklet, which reflects the research of many of the pioneers in the use of radionuclides for the diagnosis and therapy of human disease. Since 1949 there have been remarkable advances in radionuclide techniques and imaging equipment: from the first devices “home-made” in the many physics departments throughout the UK, to the sophisticated multimodality imagers now in everyday use in Nuclear Medicine. The BNMS has been instrumental in promoting the use of radionuclide techniques in the investigation of pathology by supporting and providing education, research and guidelines on the optimum use of radiation to help patients.
A History of Limb Amputation
This book traces humanity’s long experience of natural amputations due to congenital absence, disease, frostbite, toxins, domestic and wild animal trauma, and for non-medical reasons related to punitive, ritual, and legal actions, ultimately leading to the development of elective surgical amputation. While the evolution of surgical techniques forms a major chapter in the book, many ancillary problems are addressed including the control of hemorrhage and infection, the approach to pain relief, the development of suitable instruments and equipment, and the invention of prostheses, all suitably illuminated with case histories and relevant illustrations. In addition, alternative procedures designed to avoid amputation, increasingly important in the last two centuries, are debated, and factors associated with self-amputation in extremis, not rare according to press reports, are also examined. A separate chapter considers the philosophy and interpretations of society, patients, and surgeons faced with amputation, particularly before anesthesia.
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 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 First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. The topics covered include: • elliptic curves as complex tori and as algebraic curves, • modular curves as Riemann surfaces and as algebraic curves, • Hecke operators and Atkin–Lehner theory, • Hecke eigenforms and their arithmetic properties, • the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, • elliptic and modular curves modulo p and the Eichler–Shimura Relation, • the Galois representations associated to elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.
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 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 Dictionary of Construction, Surveying and Civil Engineering
Covers the key areas of civil and construction engineering, construction technology and practice, construction management techniques and processes, as well as legal aspects such as contracts and procurement. It has been updated with more than 600 new entries spanning subjects such as sustainability, new technologies, disaster management, and building software. New additions include terms such as Air source heat pump, hydraulic failure, mechanical ventilation with heat recovery, off-site construction, predictive performance, sustainable development, and value engineering.
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.
A cost based approach to project management : Planning and controlling construction project costs
Illustrates the principles of project management and the essentials of cost planning and control with easy-to-understand examples from the construction industry. Includes step-by-step details of project planning, cost estimating, and management processes. Offers clear, cost-based methods for defining scope, preparing bids, and planning for contingencies, as well as monitoring progress and determining when to take remedial action. Contains a user-friendly guide to project management acronyms and terminology. Provides sample construction schedules, budgets, and progress report forms
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 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,
