Название: Математические основы теории автоматического регулирования
Автор: Чемоданов Б.К. и др.
Издательство: М.: Высшая школа
Год: 1971
Cтраниц: 808
Формат: pdf
Размер: 14 мб
Язык: русский

В книге изложен математический аппарат, используемый в теории автоматического регулирования. Приведены необходимые сведения из теории дифференциальных и разностных уравнений,линейной алгебры, матричного исчисления, описывающих процессы в автоматических системах. Изложение вопросов математики сопровождается рассмотрением основных задач теории автоматического регулирования.

Название: Basic Math: An Introduction to Calculus
Автор: Alix Aurora Fuentes Medina
Издательство: AC-Colombia
Год: 2022
Страниц: 717
Язык: английский
Формат: pdf, epub
Размер: 47.0 MB

"BASIC MATH. An Introduction to Calculus" is an easy way to learn mathematics. This textbook has four main chapters. The first chapter deals with set theory, the number system, and the real line with the Cartesian system of the plane and space. The second chapter shows some applications of set theory, permutations, combinations, relations, and functions. The third chapter illustrates translations and functional models with the types of functions: real, polynomial, constant, linear, quadratic, exponential, logarithmic, trigonometric, and inverse. The fourth chapter develops equations and inequalities, as well as linear or nonlinear systems of equations and inequalities. Finally, the fifth chapter concludes with solved recapitulation exercises. This work is aimed at university students of traditional academic programs or distance education in economic, administrative, social, and humanistic sciences.

Название: Quantum Mechanics: A Concise Introduction
Автор: Biao Wu
Издательство: Springer/Peking University Press
Год: 2023
Страниц: 197
Язык: английский
Формат: pdf (true), epub
Размер: 12.3 MB

This textbook highlights a concise introduction to quantum mechanics in a readable and serious manner. Being readable, the book intends to present the beauty and magic of quantum mechanics to the mass public. Being serious, the book uses mathematics to describe the most profound results in quantum mechanics. To balance the two, the book assumes that the readers are familiar with high-school mathematics and instructs the least possible advanced mathematics necessary for the understanding of quantum mechanics. The book first covers the history of quantum mechanics and then introduces the magical quantum world, including quantum states living in Hilbert space, indistinguishable particles, linear superposition, Heisenberg's uncertainty relations, quantum entanglement, Bell's inequality, quantum energy levels, Schrödinger’s cat and many-worlds theory, etc. To compare with classic physics, the book also covers the classic mechanics before introducing quantum mechanics. At last, the book briefly covers quantum computing and quantum communications. Besides readers of other majors, the book is also a good reference for students in physics. It helps physics students to develop a solid understanding of the basics of quantum mechanics, preventing them from getting lost in solving the Schrödinger equation. The book also discusses quantum entanglement and quantum information which traditional quantum mechanics textbooks do not cover.

Название: Fuzzy, Rough and Intuitionistic Fuzzy Set Approaches for Data Handling: Theory and Applications
Автор: Tanmoy Som, Oscar Castillo, Anoop Kumar Tiwari, Shivam Shreevastava
Издательство: Springer
Серия: Forum for Interdisciplinary Mathematics
Год: 2023
Страниц: 279
Язык: английский
Формат: pdf (true), epub
Размер: 30.1 MB

This book facilitates both the theoretical background and applications of fuzzy, intuitionistic fuzzy and rough, fuzzy rough sets in the area of Data Science. This book provides various individual, soft computing, optimization and hybridization techniques of fuzzy and intuitionistic fuzzy sets with rough sets and their applications including data handling and that of type-2 fuzzy systems. Machine learning techniques are effectively implemented to solve a diversity of problems in pattern recognition, data mining and bioinformatics. To handle different nature of problems, including uncertainty, the book highlights the theory and recent developments on uncertainty, fuzzy systems, feature extraction, text categorization, multiscale modeling, soft computing, Machine Learning, Deep Learning, SMOTE, data handling, decision making, Diophantine fuzzy soft set, data envelopment analysis, centrally measures, social networks, Volterra–Fredholm integro-differential equation, Caputo fractional derivative, interval optimization, decision making, classification problems. This book is predominantly envisioned for researchers and students of Data Science, medical scientists and professional engineers.

Название: Calculus All-In-One for Dummies
Автор: Mark Ryan
Издательство: For Dummies
Год: 2023
Страниц: 659
Язык: английский
Формат: pdf (true)
Размер: 26.1 MB

Make calculus more manageable with simplified instruction and tons of practice. Calculus All-in-One For Dummies pairs no-nonsense explanations of calculus content with practical examples and practice problems, so you can untangle the difficult concepts and improve your score in any calculus class. Plus, this book comes with access to chapter quizzes online. Dummies makes differentiation, integration, and everything in between more manageable, so you can crush calculus with confidence. Review the foundational basics, then dive into calc lessons that track your class. This book takes you through a full year of high-school calculus or a first semester of college calculus, only explained more clearly.

Название: Высшая математика в примерах и задачах (в 3-х томах)
Автор: Черненко В. Д.
Издательство: Политехника
Год: 2011 - 2-е изд., перераб. и доп.
Cтраниц: 713+572+510
Формат: pdf (ocr)
Размер: 182 мб

ТОМ 1 - Предлагаемое учебное пособие содержит краткий теоретический материал по определителям и матрицам, системам линейных уравнений, векторной и линейной алгебре, аналитической геометрии на плоскости и в пространстве, функциям и вычислению пределов, дифференциальному исчислению функций одной и нескольких переменных, приложениям дифференциального исчисления к геометрии, неопределенному и определенному интегралам и приложениям определенного интеграла к задачам геометрии, механики и физики, а также большое количество примеров, иллюстрирующих основные методы решения.

Название: Basic Concepts in Organic Stereochemistry
Автор:Talapatra S.K., Talapatra B.
Издательство:Springer Nature Switzerland AG
Год: 2022
Формат: PDF
Страниц:266
Размер: 10,3 МБ
Язык: English

This book discusses essential stereochemical concepts associated with organic molecules (natural or synthetic), as reflected in the course of their many reactions, their mechanisms, their asymmetric synthesis, biosynthesis, and biological activities. This treatise provides useful insights and understanding of the chiral/achiral designations (nomenclatures), the stereochemical features, and related properties of the natural and synthetic products. Without having an adequate knowledge of stereochemical concepts, it will not be possible to understand and appreciate the stereochemistry of natural or synthetic products. Thus, essential static and dynamic aspects of stereochemistry with sufficient illustrative examples along with discussions are presented. The structure of the monograph allows for easy selection of separate topics for reading and teaching.

Название: Теория игр
Автор: Петросян Л.А., Зенкевич Н.А., Шевкопляс Е.В.
Издательство: СПб.: БXB-Петepбург
Год: 2012 - 2-е изд., переработанное и дополненное
Cтраниц: 432
Формат: pdf
Размер: 36 мб

Учебник предназначен как для первоначального, так и для углубленного изучения теории игр. Проведено систематическое исследование математических моделей принятия решений несколькими сторонами в условиях конфликта. Представлено последовательное изложение единой теории статических и динамических игр.

Название: Занимательная математика. Комплексные числа
Автор: Оучи М.
Издательство: ДМK
Год: 2019
Cтраниц: 234
Формат: pdf (ocr)
Размер: 91 мб
Язык: русский

Данная манга рассказывает о том, как студент Юта Сакурай, которого отправили на переэкзаменовку, познакомился с королевой математики Госпожой Химуро, но не превратился в камень от страха! Если уж сама королева объясняет тебе, зачем нужны комплексные числа - ты точно не забудешь про формулу Эйлера и мнимую единицу.

Название: Approximate Degree in Classical and Quantum Computing
Автор: Mark Bun, Justin Thaler
Издательство: Now Publishers
Серия: Foundations and Trends in Theoretical Computer Science
Год: 2023
Страниц: 203
Язык: английский
Формат: pdf (true), epub
Размер: 35.6 MB

The ability (or inability) to represent or approximate Boolean functions by polynomials is a central concept in complexity theory, underlying interactive and probabilistically checkable proof systems, circuit lower bounds, quantum complexity theory, and more. In this book, the authors survey what is known about a particularly natural notion of approximation by polynomials, capturing pointwise approximation over the real numbers. This book covers recent progress on proving approximate degree lower and upper bounds and describes some applications of the new bounds to oracle separations, quantum query and communication complexity, and circuit complexity. The authors explain how several of these advances have been unlocked by a particularly simple and elegant technique, called dual block composition, for constructing solutions to this dual linear program. They also provide concise coverage of even more recent lower bound techniques based on a new complexity measure called spectral sensitivity. Finally, they show how explicit constructions of approximating polynomials have been inspired by quantum query algorithms. This book provides a comprehensive review of the foundational and recent developments of an important topic in both classical and quantum computing.