This book presents a complete theory of ordinary differential
equations, with many illustrative examples and interesting
exercises. A rigorous treatment is offered in this book with clear
proofs for the theoretical results and with detailed solutions for
the examples and problems.
This book is intended for undergraduate students who major in
mathematics and have acquired a prerequisite knowledge of calculus
and partly the knowledge of a complex variable, and are now reading
advanced calculus and linear algebra. Additionally, the
comprehensive coverage of the theory with a wide array of examples
and detailed solutions, would appeal to mathematics graduate
students and researchers as well as graduate students in majors of
other disciplines.
As a handy reference, advanced knowledge is provided in this
book with details developed beyond the basics; optional sections,
where main results are extended, offer an understanding of further
applications of ordinary differential equations.
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