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Nonlinear Ordinary Differential Equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects. The text of this third edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. The book is directed towards practical applications of the theory, with several hundred examples and problems covering a wide variety of applications. Prerequisites are kept to a minimum, with appendices containing the necessary mathematical theory new to this edition.
This text investigates the qualitative behavior of nonlinear ordinary differential equations and their application to dynamical systems. Authors D. W. Jordan and Peter K. Smith provide a comprehensive framework for understanding complex systems through a qualitative lens rather than relying solely on analytical solutions. The book serves as a pedagogical resource for advanced undergraduate and graduate students, integrating foundational theory with practical, real-world applications.
What You Will Find
Experts recognize this work as a foundational text for students entering the field of dynamical systems. Readers frequently note the clarity of the qualitative approach and the utility of the extensive problem sets provided throughout the chapters.
Page Count:
560
Publication Date:
1999-10-21
Publisher:
Oxford University Press
ISBN-10:
0198565623
ISBN-13:
9780198565628
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