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Books > Science & Mathematics > Mathematics
Nearly a century before Mondrian made geometrical red, yellow, and blue lines famous, 19th-century mathematician Oliver Byrne employed the color scheme for his 1847 edition of Euclid's mathematical and geometric treatise Elements. Byrne's idea was to use color to make learning easier and "diffuse permanent knowledge." The result has been described as one of the oddest and most beautiful books of the 19th century. The facsimile of Byrne's vivid publication is now available in a beautiful new edition. A masterwork of art and science, it is as beautiful in the boldness of its red, yellow, and blue figures and diagrams as it is in the mathematical precision of its theories. In the simplicity of forms and colors, the pages anticipate the vigor of De Stijl and Bauhaus design. In making complex information at once accessible and aesthetically engaging, this work is a forerunner to the information graphics that today define much of our data consumption.
'Stats Means Business' is an introductory textbook aimed at
Business Studies students who require guidance in the area of
statistics. It minimizes technical language, provides clear
definition of key terms, and gives emphasis to interpretation
rather than technique.
Functions as a self-study guide and textbook containing over 110 examples and 165 problem sets with answers, a comprehensive solutions manual, and computer programs that clarify arithmetic concepts-ideal for a two-semester course in structural dynamics, analysis and design of seismic structures, matrix methods of structural analysis, numerical methods in structural engineering, and advanced structural mechanics and design This book uses state-of-the-art computer technology to formulate displacement method with matrix algebra, facilitating analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes. Links code provisions to analytical derivations and compares individual specifications across codes, including the IBC-2000 With 3700 equations and 660 drawings and tables, Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering examines vibration of trusses, rigid and elastic frames, plane grid systems, and 3-D building systems with slabs, walls, bracings, beam-columns, and rigid zones presents single and multiple degree-of-freedom systems and various response behaviors for different types of time-dependent excitations outlines determinant, iteration, Jacobian, Choleski decomposition, and Sturm sequence eigensolution methods details proportional and nonproportional damping, steady-state vibration for undamped harmonic excitation, and transient vibration for general forcing function includes P-? effects, elastic media, coupling vibrations, Timoshenko theory, and geometric and material nonlinearity illustrates free and forced vibrations of frameworks and plates stressing isoparametric finite element formulation offers several numerical integration methods with solution criteria for error and stability behavior details models and computer calculations for bracings, RC beams and columns, coupling bending, and shear of low-rise walls and more Matrix Analysis
Fully updated with the latest developments in the eigenvalue Monte Carlo calculations and automatic variance reduction techniques and containing an entirely new chapter on fission matrix and alternative hybrid techniques. This second edition explores the uses of the Monte Carlo method for real-world applications, explaining its concepts and limitations. Featuring illustrative examples, mathematical derivations, computer algorithms, and homework problems, it is an ideal textbook and practical guide for nuclear engineers and scientists looking into the applications of the Monte Carlo method, in addition to students in physics and engineering, and those engaged in the advancement of the Monte Carlo methods. Describes general and particle-transport-specific automated variance reduction techniques Presents Monte Carlo particle transport eigenvalue issues and methodologies to address these issues Presents detailed derivation of existing and advanced formulations and algorithms with real-world examples from the author's research activities
History, Trauma and Shame provides an in-depth examination of the sustained dialogue about the past between children of Holocaust survivors and descendants of families whose parents were either directly or indirectly involved in Nazi crimes. Taking an autobiographical narrative perspective, the chapters in the book explore the intersection of history, trauma and shame, and how change and transformation unfolds over time. The analyses of the encounters described in the book provides a close examination of the process of dialogue among members of The Study Group on Intergenerational Consequences of the Holocaust (PAKH), exploring how Holocaust trauma lives in the 'everyday' lives of descendants of survivors. It goes to the heart of the issues at the forefront of contemporary transnational debates about building relationships of trust and reconciliation in societies with a history of genocide and mass political violence. This book will be great interest for academics, researchers and postgraduate students engaged in the study of social psychology, Holocaust or genocide studies, cultural studies, reconciliation studies, historical trauma and peacebuilding. It will also appeal to clinical psychologists, psychiatrists and psychoanalysts, as well as upper-level undergraduate students interested in the above areas.
First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
This edited collection covers the role of the process observer - a position that enhances the effectiveness of group functioning by observing the process, summarizing the behavior of the group so that the group can learn and, if needed, improve its functioning. There is little guidance on best practices for this role, and in most settings, process observers are forced to rely on whatever previous training they have received in group work to fulfil their role. The first of its kind, this book offers a wealth of resources for the role of group process observer organized in a systematic way. Each contributor focuses on a specific aspect of group process observation, identifying what is currently known on the topic, suggesting best practices, and providing the reader with tools, structures, and guidelines for effective process observation. Students and educators of group work courses will find this book integral as it covers the existing gap in literature on group process observation.
This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well as related applications. Whether new to the area of research, or a veteran, this volume will be a valuable resource on the recent advances in the field of difference equations.
The use of lasers for various applications in materials processing has grown rapidly in recent years. Lasers are by nature particularly well suited to automation, but to ensure repeatability and reliability, the engineers employing them must not simply rely on numerical analysis software. They must have a firm grasp on the physical principles involved.
ELEMENTARY TECHNICAL MATHEMATICS Eleventh Edition is written to help students with minimal math background successfully prepare for technical, trade, allied health, or Tech Prep programs. The authors focus on fundamental concepts in basic arithmetic including the metric system and measurement, algebra, geometry, trigonometry, and statistics, which are supported by thousands of examples, exercises, and applications surrounding such fields as industrial and construction trades, electronics, agriculture/horticulture, allied health, CAD/drafting, HVAC, welding, auto/diesel service, aviation, natural resources, culinary arts, business/personal finance, and others. For this revision, the authors have added over 150 new exercises, 30 new examples, new applications categories, and a new appendix on simple inequalities. The goal of ELEMENTARY TECHNICAL MATHEMATICS is to engage students and provide them with the math background they need to succeed in future courses and careers.
This book introduces Bayesian reasoning and Gaussian processes into machine learning applications. Bayesian methods are applied in many areas, such as game development, decision making, and drug discovery. It is very effective for machine learning algorithms in handling missing data and extracting information from small datasets. Bayesian Reasoning and Gaussian Processes for Machine Learning Applications uses a statistical background to understand continuous distributions and how learning can be viewed from a probabilistic framework. The chapters progress into such machine learning topics as belief network and Bayesian reinforcement learning, which is followed by Gaussian process introduction, classification, regression, covariance, and performance analysis of Gaussian processes with other models. FEATURES Contains recent advancements in machine learning Highlights applications of machine learning algorithms Offers both quantitative and qualitative research Includes numerous case studies This book is aimed at graduates, researchers, and professionals in the field of data science and machine learning.
This volume contains the proceedings of the conference Logical Foundations of Mathematics, Computer Science, and Physics-Kurt Godel's Legacy, held in Brno, Czech Republic on the 90th anniversary of his birth. The wide and continuing importance of Godel s work in the logical foundations of mathematics, computer science, and physics is confirmed by the broad range of speakers who participated in making this gathering a scientific event.
Game theory is rapidly becoming one of the cornerstones of the social sciences. The articles gathered here chart the intellectual history of game theory from its place in the Enlightenment tradition, through the explosion of literature in the late 1970s, to issues of current and emerging debates. This extensively indexed set will be a valuable reference tool to researchers in sociology and politics, as well as economics.
Containing more than 1,000 entries, the Dictionary of Classical and Theoretical Mathematics focuses on mathematical terms and definitions of critical importance to practicing mathematicians and scientists. This single-source reference provides working definitions, meanings of terms, related references, and a list of alternative terms and definitions. The dictionary is one of five constituent works that make up the casebound CRC Comprehensive Dictionary of Mathematics.
Quants, physicists working on Wall Street as quantitative analysts, have been widely blamed for triggering financial crises with their complex mathematical models. Their formulas were meant to allow Wall Street to prosper without risk. But in this penetrating insider's look at the recent economic collapse, Emanuel Derman--former head quant at Goldman Sachs--explains the collision between mathematical modeling and economics and what makes financial models so dangerous. Though such models imitate the style of physics and employ the language of mathematics, theories in physics aim for a description of reality--but in finance, models can shoot only for a very limited approximation of reality. Derman uses his firsthand experience in financial theory and practice to explain the complicated tangles that have paralyzed the economy. "Models.Behaving.Badly. "exposes Wall Street's love affair with models, and shows us why nobody will ever be able to write a model that can encapsulate human behavior.
To function in modern society complex data must be absorbed and
understood at a breakneck pace. The most efficient way to do this
is through data-based graphics. This book is an exploration and
celebration of graphical methods of data presentation.
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
'Lighting Engineering: Applied Calculations' describes the
mathematical background to the calculation techniques used in
lighting engineering and links them to the applications with which
they are used. The fundamentals of flux and illuminance, colour,
measurement and optical design are covered in detail. There are
detailed discussions of specific applications, including interior
lighting, road lighting, tunnel lighting, floodlighting and
emergency lighting. The authors have used their years of experience
to provide guidance for common mistakes and useful techniques
including worked examples and case studies.
This timely interdisciplinary book brings together a wide spectrum of theoretical concepts and their empirical applications in relation to the COVID-19 pandemic, informing our understanding of the social and psychological bases of a global crisis. Written by an author team of psychologists and sociologists, the volume provides comprehensive coverage of phenomena such as fear, risk, judgement and decision making, threat and uncertainty, group identity and cohesion, social and institutional trust, and communication in the context of an international health emergency.The topics have been grouped into four main chapters, focusing on the individual, group, social, and communication perspectives of the issues affecting or being affected by the pandemic, based on over 740 classic and current references of peer-reviewed research and contextualized with an epidemiological perspective discussed in the introduction. The volume finishes with two special sections, with a chapter on cultural specificity of the social impact of pandemics, focusing specifically on both Islam and Hinduism, and a chapter on the cross-national differences in policy responses to the current health crisis. Providing not just a reference for academic research, but also short-term and long-term policy solutions based on successful strategies to combat adverse social, cognitive, and emotional consequences, this is the ideal resource for academics and policymakers interested in social and psychological determinants of individual reactions to pandemics, as well as in fields such as economics, management, politics, and medical care.
Presents Total Manufacturing Assurance (TMA) as a holistic approach to manufacturing operations Focuses on analytics and performance assessment, along with Industry 4.0 and its role in advanced manufacturing, strategic planning, Innovation and engineering economics, as well as manufacturing processes, materials, and operations. It also covers product and manufacturing system reliability, maintainability, availability, quality, and safety, financial issues in decision making and engineering analysis Offers a case study for each chapter highlighting key TMA connections all with the same structure of overview, issue, objective, approach, results, and conclusion Discusses management and engineering techniques and tools, and their practical implementation, required to achieve TMA Expands on integrating fundamental manufacturing, engineering, and management topics, which are key in achieving TMA PowerPoint slides and a solutions manual are available to instructors for course adoptions.
Wavelets from a Statistical Perspective offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days. With the methods of this book, based on the lifting scheme, researchers can set up a wavelet or another multiresolution analysis adapted to their data, ranging from images to scattered data or other irregularly spaced observations. Whereas classical wavelets stand a bit apart from other nonparametric methods, this book adds a multiscale touch to your spline, kernel or local polynomial smoothing procedure, thereby extending its applicability to nonlinear, nonparametric processing for piecewise smooth data. One of the chapters of the book constructs B-spline wavelets on nonequispaced knots and multiscale local polynomial transforms. In another chapter, the link between wavelets and Fourier analysis, ubiquitous in the classical approach, is explained, but without being inevitable. In further chapters the discrete wavelet transform is contrasted with the continuous version, the nondecimated (or maximal overlap) transform taking an intermediate position. An important principle in designing a wavelet analysis through the lifting scheme is finding the right balance between bias and variance. Bias and variance also play a crucial role in the nonparametric smoothing in a wavelet framework, in finding well working thresholds or other smoothing parameters. The numerous illustrations can be reproduced with the online available, accompanying software. The software and the exercises can also be used as a starting point in the further exploration of the material.
A clear, comprehensive treatment of the subject, Environmental Statistics with S-PLUS is an ideal resource for environmental scientists, engineers, regulators, and students, even those with only a limited knowledge of statistics. It provides insight into what to think about before you collect environmental data, how to collect it, and how to make sense of it after you have it. This book addresses the vast array of methods used today by scientists, researchers, and regulators.
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