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Автор: James Sochacki, Anthony Tongen
Издательство: Springer
Серия: Problem Books in Mathematics
Год: 2023
Страниц: 220
Язык: английский
Формат: pdf (true), epub
Размер: 24.8 MB
This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations. It covers a wide range of STEM-oriented differential equation problems that can be solved using computational power series methods. Many examples are illustrated with figures and each chapter ends with discovery/research questions most of which are accessible to undergraduate students, and almost all of which may be extended to graduate level research. Methodologies implemented may also be useful for researchers to solve their differential equations analytically or numerically. The textbook can be used as supplementary for undergraduate coursework, graduate research, and for independent study. This text assumes that students have taken an elementary ODE course covering the basics mentioned above. This text could be used as a supplemental text in the upper-level undergraduate course discussed above. The material is intended for exploration and insight for these students, their instructors and, also, for scientists and engineers who encounter ODE dynamical systems in their work. This text can be used by instructors who desire interesting examples for these courses that highlight common ODE topics and demonstrate the strong relationship between ODEs, polynomials and power series solutions to these ODEs.