Название: Механика. Курс лекций
Автор: Чeмбapиcoвa P.Г.
Издательство: Лань
Год: 2022
Страниц: 240
Язык: русский
Формат: pdf
Размер: 14.5 MB

Изложены основные положения классической механики. Содержатся также главы, которые составляют предмет современной физики. Рассматриваются содержание и следствия специальной теории относительности, содержание и практические выводы общей теории относительности. Для более глубокого и ясного понимания некоторых «трудных» разделов приведены различные их практические приложения в виде примеров. В ряде дисциплин, изучаемых в техническом вузе, физика занимает особое положение. Инженеру необходимо владение этим предметом в широком смысле. Необходимо знание теории с ее специфической методикой, а не только знакомство с отдельными явлениями и законами, применяемыми в практической деятельности. Широкое, полное знание физики является тем фундаментом, на котором строится сознательная деятельность любого инженера. Механика – раздел физики, в котором изучается механическое движение: изменение положения тел, а также их частей в пространстве друг относительно друга с течением времени. Раздел механики, где изучается движение тел без указания причин, порождающих это движение и определяющих его характер, называется кинематикой.

Название: Introduction to Probability and Random Variables
Автор: Orhan Gazi
Издательство: Springer
Год: 2023
Страниц: 239
Язык: английский
Формат: pdf (true), epub
Размер: 15.0 MB

This textbook provides a straightforward, clear explanation of probability and random variables for communications engineering students. The author focuses on the most essential subjects of probability and random variables, eliminating unnecessary details of this difficult subject. After an introduction to the topic, the author covers the essentials of experiments, sample spaces, events, and probability laws, while investigating how they relate to communications engineering work. He goes on to discuss total probability theorems, after which he covers discrete random variables and continuous random variables. The author uses his years of teaching probability and random variable concepts to engineering students to form the text in a very understandable manner. The book features exercises, examples, case studies, and other key classroom materials.

Название: Applied mathematics in engineering
Автор: Olga Moreira
Издательство: Arcler Press
Год: 2023
Страниц: 542
Язык: английский
Формат: pdf (true)
Размер: 66.8 MB

“Applied Mathematics in Engineering” is an edited book comprising 15 contemporaneous open-access articles focused on mathematical modelling, mathematical optimization, and fractal mathematics and their applications in modern engineering and industry. The first part covers a wide range of mathematical models for solving real-world problems in mechanical engineering, biomedicine, fluid dynamics, and other applications. The second part of the book presents various mathematical optimization methods and algorithms (e.g. topology optimization, hybrid arithmetic optimization, and isogeometric topology optimization) for solving engineering problems. The third part of the book is dedicated to the mathematics of fractals and its applications in the engineering of antennas, image compression technology, fracture mechanics, ophthalmology and more. The intended audience of this book is undergraduate and graduate students, as well as junior researchers.

Название: Mathematics For Computation (M4C)
Автор: Marco Benini, Olaf Beyersdorff, Michael Rathjen
Издательство: World Scientific Publishing
Год: 2023
Страниц: 477
Язык: английский
Формат: pdf (true)
Размер: 10.4 MB

The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not. Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency. Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.

Название: The notion of mathematical proof: Key rules and considerations
Автор: Olga Moreira
Издательство: Arcler Press
Год: 2023
Страниц: 424
Язык: английский
Формат: pdf (true)
Размер: 12.5 MB

“The Notion Of Mathematical Proof: Key Rules And Considerations” is an edited book consisting of 16 contemporaneous open-access articles that aim to cover the different aspects of learning and teaching mathematical proof. The first part of this book aims at summing up factors that influence the cognitive development required to successfully understand and solve mathematical proofs. The second part of the book aims to overview implementations of learning methods for constructing and evaluating the validity of mathematical proof, as well as to provide strategies for overcoming possible difficulties in mathematical proof processing. It also includes other studies related to mathematical proof and a motion-based program for improving mathematical reasoning through action. This book is intended to reach out to an academic audience ranging from undergraduate students to junior researchers.

Название: Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering
Автор: Praveen Agarwal, Shilpi Jain
Издательство: Bentham Books
Год: 2023
Страниц: 304
Язык: английский
Формат: pdf (true)
Размер: 27.4 MB

In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the importance of numerical techniques and the results of complex analysis. Contributions in the book emphasize the mathematical treatment of questions arising in natural sciences and engineering, particularly those that involve novel problems and their solutions. This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems.

Название: Introductory Statistics
Автор: Alandra Kahl
Издательство: Bentham Books
Год: 2023
Страниц: 180
Язык: английский
Формат: pdf (true), epub
Размер: 19.6 MB

This textbook is a primer for students on statistics. It covers basic statistical operations, an introduction to probability, distributions and regression. The book is divided into a series of 10 chapters covering a basic introduction to common topics for beginners. The goal of the book is to provide sufficient understanding of how to organize and summarize datasets through descriptive and inferential statistics for good decision-making. A chapter on ethics also informs readers about best practices for using statistics in research and analysis. Statistics is a complex and multi-faceted field that is relevant to many disciplines including business, science, technology, engineering and mathematics.

Название: Sparse Graphical Modeling for High Dimensional data: A Paradigm of Conditional Independence Tests
Автор: Faming Liang, Bochao Jia
Издательство: CRC Press
Год: 2023
Страниц: 151
Язык: английский
Формат: pdf (true)
Размер: 10.2 MB

This book provides a general framework for learning sparse graphical models with conditional independence tests. It includes complete treatments for Gaussian, Poisson, multinomial, and mixed data; unified treatments for covariate adjustments, data integration, and network comparison; unified treatments for missing data and heterogeneous data; efficient methods for joint estimation of multiple graphical models; effective methods of high-dimensional variable selection; and effective methods of high-dimensional inference. The methods possess an embarrassingly parallel structure in performing conditional independence tests, and the computation can be significantly accelerated by running in parallel on a multi-core computer or a parallel architecture. This book is intended to serve researchers and scientists interested in high-dimensional statistics, and graduate students in broad Data Science disciplines.

Название: Essays on the Visualisation of Legal Informatics
Автор: Vytautas Cyras, Friedrich Lachmayer
Издательство: Springer
Год: 2023
Страниц: 306
Язык: английский
Формат: pdf (true), epub
Размер: 38.4 MB

Both legal scholars and computer scientists will be curious to know how the gap between law and computing can be bridged. The law, and also jurisprudence, is based on language, and is mainly textual. Every syntactic system has its semantic range, and so does language, which in law achieves a high degree of professional precision. The use of visualisations is a syntactic supplement and opens up a new understanding of legal forms. This understanding was reinforced by the paradigm shift from textual law to legal informatics, in which visual formal notations are decisive. The authors have been dealing with visualisation approaches for a long time and summarise them here for discussion. In this book, a multiphase transformation from the legal domain to computer code is explored. The authors consider law enforcement by computer. The target view is that legal machines are legal actors that are capable of triggering institutional facts. In the visualisation of statutory law, an approach called Structural Legal Visualisation is presented. Specifically, the visualisation of legal meaning is linked with tertium comparationis, the third part of the comparison.

Название: Bioinformatic and Statistical Analysis of Microbiome data: From Raw Sequences to Advanced Modeling with QIIME 2 and R
Автор: Yinglin Xia, Jun Sun
Издательство: Springer
Год: 2023
Страниц: 716
Язык: английский
Формат: pdf (true), epub
Размер: 33.7 MB

This unique book addresses the bioinformatic and statistical modelling and also the analysis of microbiome data using cutting-edge QIIME 2 and R software. It covers core analysis topics in both bioinformatics and statistics, which provides a complete workflow for microbiome data analysis: from raw sequencing reads to community analysis and statistical hypothesis testing. It includes real-world data from the authors’ research and from the public domain, and discusses the implementation of QIIME 2 and R for data analysis step-by-step. The data as well as QIIME 2 and R computer programs are publicly available, allowing readers to replicate the model development and data analysis presented in each chapter so that these new methods can be readily applied in their own research.