Автор: Кулешов В.А.
Название: Исследование операций, системный анализ и искусственный интеллект
Издательство: М.: Международная академия информатизации
Год: 2020
Язык: Русский
Формат: pdf
Размер: 11,2 Мб
Качество: хорошее, текстовый слой, оглавление.
Кол-во страниц: 69

Описание: В книге разработан пакет программ для расчета оптимальных режимов кооперации многих фирм (план-график взаимодействия) с целью их технико-технологического переоснащения при одновременном сохранении существующего суммарного объема производств, что бы избежать потерь общего для них сектора рынка.

Автор: Клюшин Д.А., Петунин Ю.И.
Название: Доказательная медицина. Применение статистических методов
Издательство: М.: Вильямс
Год: 2017
ISBN: 978-5-8459-1321-0
Язык: Русский
Формат: pdf
Размер: 22,7 Мб
Качество: хорошее, текстовый слой, оглавление.
Кол-во страниц: 316

Описание: Наиболее эффективный метод при статистическом анализе — это совместная работа биологов, медиков и статистиков от начала (планирования эксперимента — определения метода формирования выборок, вычисление требуемого объема выборок и т.д.) до конца исследования (анализа результатов статистической обработки и их медико-биологическая интерпретация).

Название: Manifolds, Vector Fields, and Differential Forms: An Introduction to Differential Geometry
Автор: Gal Gross, Eckhard Meinrenken
Издательство: Springer
Серия: Springer Undergraduate Mathematics Series
Год: 2023
Страниц: 348
Язык: английский
Формат: pdf (true), epub
Размер: 22.0 MB

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal set of prerequisites: a solid grounding in linear algebra and multivariable calculus, and ideally a course on ordinary differential equations. Manifolds are introduced intrinsically in terms of coordinate patches glued by transition functions. The theory is presented as a natural continuation of multivariable calculus; the role of point-set topology is kept to a minimum.

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: 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.

Автор: Форд Л.Р., Фалкерсон Д.Р.
Название: Потоки в сетях. Flows In Networks
Издательство: М.: Мир
Год: 1966
Язык: Русский
Формат: djvu
Размер: 24,5 Мб
Качество: хорошее, текстовый слой, оглавление.
Кол-во страниц: 276

Описание: Эта книга представляет собой введение в ту часть теории линейного программирования, которая ныне охватывается словами «транспортные задачи» или «задачи о потоках в сетях». Всюду в книге авторы — видные американские математики - делают ударение на конструктивных приемах, более того — на приемах, эффективных в вычислительном отношении.

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.