Название: The Cambridge Handbook of Computational Cognitive Sciences (2nd Edition) Автор: Rоn Sun Издательство: Cambridge University Press Год: 2023 Страниц: 1325 Язык: английский Формат: pdf (true) Размер: 17.4 MB The Cambridge Handbook of Computational Cognitive Sciences is a comprehensive reference for this rapidly developing and highly interdisciplinary field. Written with both newcomers and experts in mind, it provides an accessible introduction of paradigms, methodologies, approaches, and models, with ample detail and illustrated by examples. It should appeal to researchers and students working within the computational cognitive sciences, as well as those working in adjacent fields including philosophy, psychology, linguistics, anthropology, education, neuroscience, Artificial Intelligence, Computer Science, and more.
Название: Glimpses of Soliton Theory : The Algebra and Geometry of Nonlinear PDEs, 2nd Edition Автор: Аlех Каsmаn Издательство: American Mathematical Society Год: 2023 Страниц: 365 Язык: английский Формат: pdf (true) Размер: 10.2 MB Solitons are nonlinear waves which behave like interacting particles. When first proposed in the 19th century, leading mathematical physicists denied that such a thing could exist. Now they are regularly observed in nature, shedding light on phenomena like rogue waves and DNA transcription. Solitons of light are even used by engineers for data transmission and optical switches. Furthermore, unlike most nonlinear partial differential equations, soliton equations have the remarkable property of being exactly solvable. Explicit solutions to those equations provide a rare window into what is possible in the realm of nonlinearity. Glimpses of Soliton Theory reveals the hidden connections discovered over the last half-century that explain the existence of these mysterious mathematical objects. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant explanation of something seemingly miraculous.
Название: The Mathematics of Shuffling Cards Автор: Реrsi Diасоnis, Jаsоn Fulmаn Издательство: American Mathematical Society Год: 2023 Страниц: 360 Язык: английский Формат: pdf (true) Размер: 43.5 MB This book gives a lively development of the mathematics needed to answer the question, “How many times should a deck of cards be shuffled to mix it up?” The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table. The mathematics ranges from probability (Markov chains) to combinatorics (symmetric function theory) to algebra (Hopf algebras). There are applications to magic tricks and gambling along with a careful comparison of the mathematics to the results of real people shuffling real cards. The book explores links between shuffling and higher mathematics—Lie theory, algebraic topology, the geometry of hyperplane arrangements, stochastic calculus, number theory, and more. It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics.
Название: Силы добра. Шесть практик влиятельных социальных проектов Автор: Лесли Р. Кратчфилд Язык: русский Издательство: Нужна помощь Год: 2020 Страниц: 580 Формат: pdf Размер: 10,1 Мб Что делает некоммерческие организации великими? На основании множества опросов и многоступенчатого отбора авторы книги определили 12 организаций, оказавших самое большое положительное влияние на ситуацию в США и мире за последние 30 лет. Потом, подробно изучив методы их работы, они выявили 6 подходов, которые применяют эти организации в своих внутренних и внешних проектах. Эта книга о практиках, используя которые НКО могут по-настоящему влиять на социальную ситуацию.
Название: A Journey into the World of Exponential Functions Автор: Gаutаm Ваndуораdhуау Издательство: CRC Press/Levant Books Год: 2023 Страниц: 165 Язык: английский Формат: pdf (true) Размер: 10.2 MB The number e, the function ex, the logarithmic function in (x) and different hyperbolic functions like cosh (x), sinh (x) make frequent appearances in science and engineering textbooks. Students often fail to appreciate the significance of these mathematical symbols. This book clearly illustrates why such abstract mathematical entities are needed to represent some aspects of physical reality. It provides an overview of different types of numbers and functions along with their historical background and applications. It contains four chapters covering number system, exponential function, logarithmic functions and hyperbolic functions along with the concept of complex angle. This book is primarily meant for engineering students and others who need to apply mathematics for solving practical problems. This is not a conventional mathematics book which emphasizes on mathematical rigour while dealing with different mathematical topics.
Название: The Accidental Instructional Designer: Learning Design for the Digital Age, 2nd Edition Автор: Cammy Bean Издательство: ATD Press Год: 2023 Страниц: 317 Язык: английский Формат: epub (true) Размер: 10.1 MB Go From Accidental to Intentional. Filled with insights and tips, this updated edition of The Accidental Instructional Designer, by e-learning veteran Cammy Bean, covers nearly every aspect of the learning design process for those getting started or even for the experienced practitioner in need of new ideas. Many trainers and instructional designers fall into the talent development profession by accident, often having been tasked by their organization to train others on a subject they are expert in. Whether they’re good at explaining technical concepts or have a way with PowerPoint, they have often have little to no formal education in instructional design. Many are looking for grounding in the core principles of instructional design so that they can design effective and engaging digital learning experiences. Cammy explores instructional design basics such as working with subject matter experts, picking a design approach, and making your learning experiences better through storytelling, interactivity, and visuals. In this second edition, she goes deeper into the learning and development space (where instructional design happens at organizations), learning tools, the technology ecosystem, and assessment and evaluation frameworks.
Название: The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory Автор: Rаinеr Оlоff Издательство: Springer Год: 2023 Страниц: 283 Язык: английский Формат: pdf (true), epub Размер: 21.3 MB This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail.
Название: Turnpike Phenomenon in Metric Spaces Автор: Аlехаndеr J. Zаslаvski Издательство: Springer Год: 2023 Страниц: 365 Язык: английский Формат: pdf (true), epub Размер: 26.1 MB In this book we study the turnpike phenomenon arising in the optimal control theory. To have the turnpike property means, roughly speaking, that the approximate solutions of the problems are determined mainly by the objective function and are essentially independent of the choice of interval and endpoint conditions, except in regions close to the endpoints. Special focus is placed on Turnpike results, in sufficient and necessary conditions for the turnpike phenomenon and in its stability under small perturbations of objective functions. The most important feature of this book is that it develops a large, general class of optimal control problems in metric space. Additional value is in the provision of solutions to a number of difficult and interesting problems in optimal control theory in metric spaces. Mathematicians working in optimal control, optimization, and experts in applications of optimal control to economics and engineering, will find this book particularly useful.
Название: Stochastic Volatility and Realized Stochastic Volatility Models Автор: Маkоtо Таkаhаshi, Yаsuhirо Оmоri, Тоshiаki Wаtаnаbе Издательство: Springer Серия: SpringerBriefs in Statistics Год: 2023 Страниц: 120 Язык: английский Формат: pdf (true), epub Размер: 20.8 MB This treatise delves into the latest advancements in stochastic volatility models, highlighting the utilization of Markov chain Monte Carlo simulations for estimating model parameters and forecasting the volatility and quantiles of financial asset returns. The modeling of financial time series volatility constitutes a crucial aspect of finance, as it plays a vital role in predicting return distributions and managing risks. Among the various econometric models available, the stochastic volatility model has been a popular choice, particularly in comparison to other models, such as GARCH models, as it has demonstrated superior performance in previous empirical studies in terms of fit, forecasting volatility, and evaluating tail risk measures such as Value-at-Risk and Expected Shortfall. The book also explores an extension of the basic stochastic volatility model, incorporating a skewed return error distribution and a realized volatility measurement equation. The concept of realized volatility, a newly established estimator of volatility using intraday returns data, is introduced, and a comprehensive description of the resulting realized stochastic volatility model is provided. The text contains a thorough explanation of several efficient sampling algorithms for latent log volatilities, as well as an illustration of parameter estimation and volatility prediction through empirical studies utilizing various asset return data.
Название: Linear Fractional Transformations: An Illustrated Introduction Автор: Аrsеniу Shеуdvаssеr Издательство: Springer Серия: Undergraduate Texts in Mathematics Год: 2023 Страниц: 242 Язык: английский Формат: pdf (true), epub Размер: 52.6 MB The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams. With few mathematical prerequisites, geometry is presented through the lens of linear fractional transformations. The exposition is motivational and the well-placed examples and exercises give students ample opportunity to pause and digest the material. The subject builds from the fundamentals of Euclidean geometry, to inversive geometry, and, finally, to hyperbolic geometry at the end. Throughout, the author aims to express the underlying philosophy behind the definitions and mathematical reasoning. This text may be used as primary for an undergraduate geometry course or a freshman seminar in geometry, or as supplemental to instructors in their undergraduate courses in complex analysis, algebra, and number theory.
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