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Fundamentals of Ordinary Differential Equations

By Uri Elias

Fundamentals of Ordinary Differential Equations Mathematics

Fundamentals of Ordinary Differential Equations

By Uri Elias

0 - Default Title
Description
This textbook offers an introduction to ODEs that focuses on the qualitative behavior of differential equations rather than specialized methods for solving them. The book is organized around this approach with important topics, such as existence, uniqueness, qualitative behaviour, and stability, appearing in early chapters and explicit solution methods covered later. Proofs are included in an approachable manner, which are first motivated by describing the main ideas in a general sense before being written out in detail. A clear and accessible writing style is used, containing numerous examples and calculations throughout the text. Two appendices offer readers further material to explore, with the first using the orbits of the planets as an illustrative example and the second providing insightful historical notes. After reading this book, students will have a strong foundation for a course in PDEs or mathematical modeling. Fundamentals of Ordinary Differential Equations is suitable for an undergraduate course for students who have taken basic calculus and linear algebra courses, and who are able to read and write basic proofs. Because of its detailed approach, it is also conducive to self-study.
Product details
Number of Pages:
324
Release Date:
2025-05-21
Publication Date:
2025-05-21
Publisher:
Birkhäuser
Languages:
Original: English
ISBN10:
3031865316
ISBN13:
9783031865312
GPSR Manufacturer Reference:
[email protected]
Weight:
651 g
Height:
160 cm
Width:
241 cm
Thickness:
24 cm
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