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Titlebook: Ordinary Differential Equations; Analytical Methods a Victor Henner,Alexander Nepomnyashchy,Mikhail Khen Textbook 2023 The Editor(s) (if ap

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书目名称Ordinary Differential Equations
副标题Analytical Methods a
编辑Victor Henner,Alexander Nepomnyashchy,Mikhail Khen
视频video
概述Presents a comprehensive range of topics in undergraduate-level ODEs.Suitable for students in engineering, physics, and mathematics.Includes user-friendly software and problem sets
图书封面Titlebook: Ordinary Differential Equations; Analytical Methods a Victor Henner,Alexander Nepomnyashchy,Mikhail Khen Textbook 2023 The Editor(s) (if ap
描述.The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2.nd., 3.rd., or 4.th. year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a mathematical nature or a real-world examples, are fully solved, and the solution logic and flow are explained. Even advanced topics are presented in the same undergraduate-friendly style as the rest of the textbook. Completely optional interactive laboratory-type software is included with the textbook. Email Mikhail.Khenner@wku.edu with proof of textbook purchase to request access to optional software download..
出版日期Textbook 2023
关键词Ordinary differential equations; Linear partial differential equations; Analytical and qualitative met
版次1
doihttps://doi.org/10.1007/978-3-031-25130-6
isbn_softcover978-3-031-25132-0
isbn_ebook978-3-031-25130-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Differential Equations of Order , > 1,In this chapter we consider the general case of the .th order differential equation, which is written in the form resolved for the highest derivative of the unknown function .(.).
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Power Series Solutions of ODEs,In the previous chapters, we explored the general properties of ODEs and systems of ODEs. Typically, solutions of ODEs cannot be presented in an explicit form using elementary functions.
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Calculus of Variations,As we saw in previous chapters, the laws of nature are often expressed by ordinary differential equations with the appropriate initial or boundary conditions.
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