Название: Tensor Algebra and Analysis for Engineers: With Applications to Differential Geometry of Curves and Surfaces
Автор: Paolo Vannucci
Издательство: World Scientific Publishing
Год: 2023
Страниц: 230
Язык: английский
Формат: pdf (true)
Размер: 11.4 MB

In modern theoretical and applied mechanics, tensors and differential geometry are two almost essential tools. Unfortunately, in university courses for engineering and mechanics students, these topics are often poorly treated or even completely ignored. At the same time, many existing, very complete texts on tensors or differential geometry are so advanced and written in abstract language that discourage young readers looking for an introduction to these topics specifically oriented to engineering applications.This textbook, mainly addressed to graduate students and young researchers in mechanics, is an attempt to fill the gap. Its aim is to introduce the reader to the modern mathematical tools and language of tensors, with special applications to the differential geometry of curves and surfaces in the Euclidean space. The exposition of the matter is sober, directly oriented to problems that are ordinarily found in mechanics and engineering. Also, the language and symbols are tailored to those usually employed in modern texts of continuum mechanics.

Название: Practical Bioinformatics for Beginners: From Raw Sequence Analysis to Machine Learning Applications
Автор: Lloyd Wai Yee Low, Martti Tapani Tammi
Издательство: World Scientific Publishing
Год: 2023
Страниц: 268
Язык: английский
Формат: pdf (true)
Размер: 25.3 MB

Next-Generation Sequencing (NGS) is increasingly common and has applications in various fields such as clinical diagnosis, animal and plant breeding, and conservation of species. This incredible tool has become cost-effective. However, it generates a deluge of sequence data that requires efficient analysis. The highly sought-after skills in computational and statistical analyses include Machine Learning and, are essential for successful research within a wide range of specializations, such as identifying causes of cancer, vaccine design, new antibiotics, drug development, personalized medicine, and increased crop yields in agriculture. This invaluable book provides step-by-step guides to complex topics that make it easy for readers to perform specific analyses, from raw sequenced data to answer important biological questions using Machine Learning methods. It is an excellent hands-on material for lecturers who conduct courses in bioinformatics and as reference material for professionals. The chapters are standalone recipes making them suitable for readers who wish to self-learn selected topics. Readers gain the essential skills necessary to work on sequenced data from NGS platforms; hence, making themselves more attractive to employers who need skilled bioinformaticians.

Название: Единая транспортная система
Автор: Троицкая Н.А., Чубуков А.Б.
Издательство: Академия
Год: 2007 - 3-е изд.
Cтраниц: 240
Формат: pdf
Размер: 13 мб
Язык: русский

Даны определения основных терминов, общая характеристика транспортной системы России, сферы деятельности магистрального городского, промышленного, специализированного и нетрадиционного видов транспорта. Приведены показатели работы транспорта и тарифные системы. Освещено влияние рыночной экономики на развитие транспорта, формы и методы взаимодействия и конкуренции между различными видами транспорта.

Название: Дифференциальные и разностные уравнения: Какие явления они описывают и как их решать
Автор: Гордин В.А.
Издательство: Издательский дом Высшей школы экономики
Год: 2016
Cтраниц: 530
Формат: pdf (ocr)
Размер: 24 мб
Язык: русский

В учебном пособии рассмотрены модели физики, механики, химии, биологии, экологии, экономики, социологии, метеорологии, электротехники, приложения к теории вероятностей, теории игр, вычислительной математике и т.п., основанные на дифференциальных и разностных уравнениях.

Название: Spectral Mapping Theorems: A Bluffer's Guide, 2nd Edition
Автор: Robin Harte
Издательство: Springer
Год: 2023
Страниц: 193
Язык: английский
Формат: pdf (true), epub
Размер: 11.1 MB

Written by an author who was at the forefront of developments in multivariable spectral theory during the seventies and the eighties, this book describes the spectral mapping theorem in various settings. In this second edition, the Bluffer's Guide has been revised and expanded, whilst preserving the engaging style of the first. Starting with a summary of the basic algebraic systems – semigroups, rings and linear algebras – the book quickly turns to topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis. Key aspects of spectral theory are covered, in one and several variables. Finally the case of an arbitrary set of variables is discussed. The language of spectral theory may be algebra, but its environment is topological algebra. Topology on the one hand underlies geometry; for us it is more relevant that it also underlies the theory of limits and analysis.

Название: Introduction to Electricity, Magnetism, and Circuits
Автор: Daryl Janzen
Издательство: University of Saskatchewan
Год: 2023
Страниц: 1005
Язык: английский
Формат: pdf
Размер: 45.6 MB

This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigour inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. A capacitor is a device used to store electrical charge and electrical energy. It consists of at least two electrical conductors separated by a distance. (Note that such electrical conductors are sometimes referred to as “electrodes,” but more correctly, they are “capacitor plates.”) The space between capacitors may simply be a vacuum, and, in that case, a capacitor is then known as a “vacuum capacitor.” However, the space is usually filled with an insulating material known as a dielectric. (You will learn more about dielectrics in the sections on dielectrics later in this chapter.) The amount of storage in a capacitor is determined by a property called capacitance, which you will learn more about a bit later in this section.

Название: Геометрия гамильтоновых систем и уравнений с частными производными
Автор: Тиморин В.А.
Издательство: Издательский дом Высшей школы экономики
Год: 2017
Cтраниц: 350
Формат: pdf (ocr)
Размер: 42 мб
Язык: русский

Цель пособия — ознакомить читателя с некоторыми основными идеями современной математики, имеющими механические или физические мотивировки. Его особенностью, отраженной в названии, является целенаправленное использование геометрических, наглядных образов. Много внимания автор уделяет разбору конкретных примеров.

Название: Complexity Science: The Study of Emergence (+ Solution Manual)
Автор: Henrik Jeldtoft Jensen
Издательство: Cambridge University Pres
Год: 2023
Страниц: 462+68
Язык: английский
Формат: pdf (true)+jpg, pptx
Размер: 30.6 MB

Ecosystems, the human brain, ant colonies, and economic networks are all complex systems displaying collective behaviour, or emergence, beyond the sum of their parts. Complexity science is the systematic investigation of these emergent phenomena, and stretches across disciplines, from physics and mathematics, to biological and social sciences. This introductory textbook provides detailed coverage of this rapidly growing field, accommodating readers from a variety of backgrounds, and with varying levels of mathematical skill. Part I presents the underlying principles of complexity science, to ensure students have a solid understanding of the conceptual framework. The second part introduces the key mathematical tools central to complexity science, gradually developing the mathematical formalism, with more advanced material provided in boxes. A broad range of end of chapter problems and extended projects offer opportunities for homework assignments and student research projects, with solutions available to instructors online. Key terms are highlighted in bold and listed in a glossary for easy reference, while annotated reading lists offer the option for extended reading and research.

Название: Stochastic Processes and Financial Mathematics
Автор: Ludger Ruschendorf
Издательство: Springer
Серия: Mathematics Study Resources
Год: 2023
Страниц: 310
Язык: английский
Формат: pdf (true), epub
Размер: 20.2 MB

The book provides an introduction to advanced topics in stochastic processes and related stochastic analysis, and combines them with a sound presentation of the fundamentals of financial mathematics. It is wide-ranging in content, while at the same time placing much emphasis on good readability, motivation, and explanation of the issues covered. Financial mathematical topics are first introduced in the context of discrete time processes and then transferred to continuous-time models. The basic construction of the stochastic integral and the associated martingale theory provide fundamental methods of the theory of stochastic processes for the construction of suitable stochastic models of financial mathematics, e.g. using stochastic differential equations.

Название: Springer Handbook of Wood Science and Technology
Автор: Peter Niemz, Alfred Teischinger
Издательство: Springer
Год: 2023
Формат: PDF
Размер: 105 Мб
Язык: английский / English

This handbook provides an overview on wood science and technology of unparalleled comprehensiveness and international validity. It describes the fundamental wood biology, chemistry and physics, as well as structure-property relations of wood and wood-based materials. The different aspects and steps of wood processing are presented in detail from both a fundamental technological perspective and their realisation in industrial contexts. The discussed industrial processes extend beyond sawmilling and the manufacturing of adhesively bonded wood products to the processing of the various wood-based materials, including pulp and paper, natural fibre materials and aspects of bio-refinery. Core concepts of wood applications, quality and life cycle assessment of this important natural resource are presented. The book concludes with a useful compilation of fundamental material parameters and data as well as a glossary of terms in accordance with the most important industry standards.