First Course in Ordinary Differential Equations

A First Course in Ordinary Differential Equations provides a comprehensive introduction to the subject, focusing on analytical methods to solve ODEs and theoretical aspects. It is suitable for undergraduate students in mathematics and physics, as well as engineers interested in understanding how to solve ODEs. It covers all essential topics and includes a rich collection of problems, with examples and counter-examples to illustrate concepts.

Format: Hardback
Length: 324 pages
Publication date: 22 March 2021
Publisher: Taylor & Francis Inc

A comprehensive guide to ordinary differential equations (ODEs) is provided in A First Course in Ordinary Differential Equations. The book offers a detailed introduction to the subject, focusing on analytical methods for solving ODEs and theoretical aspects of analyzing them when explicit solutions are difficult or impossible to find. This two-fold treatment of the subject is valuable not only for undergraduate students in mathematics but also for physicists and engineers interested in understanding the various methods used to solve ODEs.

The book includes over 300 end-of-chapter problems with varying difficulty levels, allowing readers to self-examine their understanding of the topics covered. Clear definitions and results from subjects such as real analysis and linear algebra are stated throughout the book, making it accessible to physics and engineering students as well. Numerous worked-out examples are presented to illustrate each new technique introduced, ensuring a clear understanding of the material.

The author also emphasizes the importance of various hypotheses in the results by providing counter examples, further enhancing the reader's understanding.

Key Features:
Comprehensive Coverage: The book covers all essential topics required for an introductory course in ODEs, including computation of solutions, theoretical concepts, well-posedness, comparison results, stability, and asymptotic behavior of solutions to autonomous ODEs (both scalar and 2✕2 systems).
Systematic Presentation: Insights into the nature of solutions to linear and non-linear ODEs are presented in a systematic manner, making the material easy to understand and follow.
Special Attention to Asymptotic Behavior: The book pays special attention to the study of asymptotic behavior of solutions to autonomous ODEs, providing valuable insights for both practical applications and theoretical understanding.
Sufficient Examples: Examples are provided wherever a notion is introduced, ensuring a clear understanding of the concepts.
Rich Problem Collection: A rich collection of problems is included, challenging readers to apply their knowledge and skills.
Textbook for Undergraduate Students: The book serves as a text book for undergraduate students studying ODEs, providing a solid foundation for further studies in the field.
Reference Book: The book is also a valuable reference book for professionals working in mathematics, physics, and engineering, offering a comprehensive overview of the subject.

In conclusion, A First Course in Ordinary Differential Equations is an essential resource for anyone interested in learning about ODEs. With its comprehensive coverage, systematic presentation, and rich problem collection, the book provides a solid foundation for undergraduate students and professionals alike. Whether you are a student looking to deepen your understanding of the subject or a professional seeking to advance your knowledge, this book is an invaluable tool.

Weight: 650g
Dimension: 161 x 241 x 26 (mm)
ISBN-13: 9780815359838