Applying Power Series to Differential Equations
An Exploration through Questions and Projects
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Beschreibung
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 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.
Explores ordinary differential equations through a computational approach Brings 12 selected applications specially crafted for STEM students Applies to undergraduate and graduate-level research as well as for independent study
Autor*in
James Sochacki
Themen in »Applying Power Series to Differential Equations«
differential equations power series dynamical systems numerical solutions polynomials STEM numerical approximation ordinary differential equations ODE linear ODE Poincaré-Bendixson theory Newton's method Newton's N-Body problem Maclaurin polynomials