Victor Henner Alexander Nepomnyashchy Tatyana Belozerova Mikhail Khenner Henner Ordinary Differential Equations

Ordinary Differential Equations

von Victor Henner Alexander Nepomnyashchy Tatyana Belozerova Mikhail Khenner

Analytical Methods and Applications

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Beschreibung

The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th 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.



The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th 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.



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

Autor*in

Victor Henner

Themen in »Ordinary Differential Equations«

Ordinary differential equations Linear partial differential equations Analytical and qualitative methods Initial and boundary value problems Integral equations and transforms Calculus of variations Fourier series Special functions

Stimmen zu »Ordinary Differential Equations«

“The aim of this book is to develop skills for finding solutions and for investigating the qualitative theory of ordinary differential equations (ODEs). These skills help one to solve real-world problems. The book contains many examples, some of which are from mechanics, physics and biology. … This book is arranged in such a way that students taking a distance learning course or studying the subject independently will benefit.” (Narahari Parhi, Mathematical Reviews, September, 2024)

“The book introduces the reader to ordinary differential equations from the classical point of view. It is a basic first course for physics and engineers. In all chapters there is an introductory background with real examples, most of them solved. From the table of contents, it is clear what the reader will find.” (Joan Torregrosa, zbMATH 1530.34003, 2024)


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Details

ISBN: 9783031251320
Verlag: Springer International Publishing
Erscheinung: 06.06.2024

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