MUNDO PREUNIVERSITARIO,MATHEMATIQUE MATHEMATICS,PHYSICS,ФИЗИКА

quarta-feira, 21 de julho de 2021

Теория управления в примерах и задачах Пантелеев А.В., Бортаковский А.С.-Control theory in examples and problems Panteleev A.V. , Bortakovsky A.S

Control theory in examples and problems Panteleev A.V. , Bortakovsky A.S.

Methods for solving problems of description, analysis and synthesis of linear and nonlinear control systems are presented. Examples of solving problems of analysis of output processes, stability, controllability and observability of linear continuous systems using all four forms of mathematical description of systems: differential equations, transition functions and spectral transformations are given. Methods for describing and analyzing discrete linear systems using difference equations and Z-transformation are considered. Algorithms for studying nonlinear control systems by methods of phase plane, harmonic and statistical linearization are described. The problems of synthesis of optimal continuous, discrete, continuous-discrete deterministic and stochastic systems, problems of joint estimation and control are presented.

Теория управления в примерах и задачах Пантелеев А.В., Бортаковский А.С.

Изложены методы решения задач описания, анализа и синтеза линейных и нелинейных систем управления. Приведены примеры решения задач анализа выходных процессов, устойчивости, управляемости и наблюдаемости линейных непрерывных систем с использованием всех четырех форм математического описания систем: дифференциальными уравнениями, переходными функциями и спектральными преобразованиями. Рассмотрены методы описания и анализа дискретных линейных систем с помощью разностных уравнений и Z-преобразования. Описаны алгоритмы исследования нелинейных систем управления методами фазовой плоскости, гармонической и статистической линеаризации. Изложены задачи синтеза оптимальных непрерывных, дискретных, непрерывно-дискретных детерминированных и стохастических систем, задачи совместного оценивания и управления.Для студентов, аспирантов технических вузов и университетов, изучающих теорию управления и регулирования.

LINK: https://drive.google.com/file/d/18lpbNxvdq4esX8n_r4Vp9LERRjFxtEi5/view?pli=1

sexta-feira, 9 de julho de 2021

Сборник задач и типовых расчетов по высшей математике-Петрушко И.М., Бараненков А.И., Богомолова Е.П.-Collection of problems and typical calculations in higher mathematics--Petrushko I.M., Baranenkov A.I., Bogomolova E.P.-

Collection of problems and typical calculations in higher mathematics Petrushko I.M. , Baranenkov A.I. , Bogomolova E.P.

Сборник задач и типовых расчетов по высшей математике-Петрушко И.М., Бараненков А.И., Богомолова Е.П

The collection contains more than 4300 problems in the course of higher mathematics. When compiling it, the authors were guided by the idea of eliminating cumbersome calculations that hide basic mathematical concepts. The structure of the problem book assumes that the variety of tasks is sufficient for practical exercises with a teacher, homework assignments, individual standard calculations for each section of the course. The textbook is intended for students of technical, technological, economic and other specialties.

LINK: https://br1lib.org/book/2890094/6c5514

sábado, 26 de junho de 2021

Матвей Семенович Мацкин Роза Юдовна Мацкина Функции и пределы. Производная ПОСОБИЕ ДЛЯ УЧИТЕЛЕЙ-Matvey Semenovich Matskin Roza Yudovna Matskina Functions and limits. Derivative

CONTENTS

Introduction 3

Section I. FUNCTIONS AND LIMITS

Chapter 1. Repetition and deepening of basic information about functions and properties of functions 6 § 1. Repetition of the concept of a function. Function graph. General notation of a function 6

§ 2. Monotone functions. Increase and decrease of a function on a given interval. The concept of the maximum and minimum of a function 11

§ 3. Even and odd functions. Top-bounded and bottom-bounded functions. Limited features. Periodic functions. Scheme of investigation of a function 15

Chapter 2. Inverse functions 23

§ 1. The concept of an inverse function. Graph of an inverse function 23

§ 2. Properties of inverse functions 27 § 3. Inverse trigonometric functions 31

Chapter 3. Limit of a function 34 § 1. Limit of the function f (x) as u oo 36

§ 2. Limit of the function f (x) as x - a (a is a real number) 48

§ 3. Limit of the ratio of the sine to the argument when the argument tends to zero 56

§ 4. Theorems on limits 61

§ 5. The concept of continuity of a function 67

Section II. THE DERIVATIVE AND ITS APPLICATION

Chapter 4. The concept of the derivative. Calculation of the derivative. Application of the derivative to the solution of physical and other problems 75

§ 1. The speed of rectilinear motion. The concept of a derivative 76

§ 2. Theorems on derivatives. Derivatives of some elementary functions 82

§ 3. Physical and other examples of the use of the derivative Acceleration. The concept of the second derivative 101

Chapter 5. Geometric meaning of the derivative. Exploring functions using a derivative. Solving problems related to finding the largest and smallest values of functions. Newton binomial formula 112

§ 1. Geometric meaning of the derivative 113

§ 2. Study of functions for increasing and decreasing and finding the maximum and minimum points of functions using the derivative 125

§ 3. Study of functions using the derivative and the construction of their graphs. Graphical solution of equations 140

§ 4. Problems of finding the maximum and minimum values of functions 163 § 5. Derivation of the Newton binomial formula and its application to approximate calculations 171

LINK BOOK: https://www.mediafire.com/file/s1w0gtmjvf20f4f/Functions+and+limits.+Derivative.pdf/file