Lecture on infinite series and differential equations120
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Lecture on infinite series and differential equations120
Lecture on infinite series and differential equations120
https://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onIN Lecture on infinite series and differential equations120 NFINITE SERIES AND DIFFERENTIAL EQUATIONSAssoc. Prof. Dr. Nguyen Thieu HuyHaNoi-2009Ngư,-en Thet HuyPrefaceThe Lecture on infinite series and differential equations is written for students of Advanced Training Programs of Mechatronics (from California Slate University-CSU Chico) and Material Science Lecture on infinite series and differential equations120 (from University of Illinois- UIUC). To prepare for the manuscript of this lecture, we have to combine not only the two syllabuses of two courses onLecture on infinite series and differential equations120
Differential Equations (Math 260 of esu Chico and Math 385 of UIUC). but also the part of infinite series that should have been given in Calculus I anhttps://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onIN Lecture on infinite series and differential equations120 nfinite series with the differential equations in the same syllabus). Therefore, this lecture provides the most important modules of knowledge which arc given in all syllabuses.This lecture is intended for engineering students and others who require a working knowledge of differential equations and Lecture on infinite series and differential equations120 series: included are technique and applications of differential equations and infinite series. Since many physical laws and relations appear mathematiLecture on infinite series and differential equations120
cally in the form of differential equations, such equations are of fundamental importance in engineering mathematics. Therefore, the main objective ofhttps://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onIN Lecture on infinite series and differential equations120 ents with the most important standard methods for solving such equations.I would like to thank Dr. Tran Xuan Ticp for his reading and reviewing of the manuscript. I would like to express my love and gratefulness to my wife Dr. Vu Thi Ngoc Ha for her constant support and inspiration during the prepar Lecture on infinite series and differential equations120 ation of the lecture.Hanoi. April 4. 2009Dr. Nguyen Thicu HuyLazture on Infinite SerK& and Drtterential EquationsContentCHAPTER 1: INFINITE SERIES....Lecture on infinite series and differential equations120
....................................................31.Definitions of Infinite Series and Fundamental Facts...............32.Tests for Convergence andhttps://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onIN Lecture on infinite series and differential equations120 S OF FUNCTIONS...........................101.Basic Concepts of Sequences and Series of Functions...............102.Theorems on uniformly convergent series............................123.Power Series.............................................................134.Fourier Series....................... Lecture on infinite series and differential equations120 ....................................17Problems.......................................................................22CHAPTER 3: BASIC CONCEPT OF DIFLecture on infinite series and differential equations120
FERENTIAL EQUATIONS.............................281.Examples of Differential Equations....................................282.Definitions and Related https://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onIN Lecture on infinite series and differential equations120 ...................................................322.Homogeneous Equations................................................333.Exact equations..........................................................334.Linear Equations.........................................................355.Bernoulli Equation Lecture on infinite series and differential equations120 s...................................................366.Modelling: Electric Circuits..........................................377.Existence and UniqueLecture on infinite series and differential equations120
ness Theorem.....................................40https://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onINhttps://khothu vien .comHANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF APPLIED MATHEMATICS AND INFORMATICSADVANCED TRAINING PROGRAMLecture onINGọi ngay
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