Ordinary Differential Equations
Example-driven, Including Maple Code
Seiten
2018
De Gruyter (Verlag)
978-3-11-044742-2 (ISBN)
De Gruyter (Verlag)
978-3-11-044742-2 (ISBN)
This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Contents Part I: Theory Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Systems Chapter 3 Second-Order Differential Equations Chapter 4 Nonlinear Differential Equations Chapter 5 Stability of Solutions Chapter 6 Differential Systems with Control Parameters Part II: Exercises Seminar 1 Classes of First-Order Differential Equations Seminar 2 Mathematical Modeling with Differential Equations Seminar 3 Linear Differential Systems Seminar 4 Second-Order Differential Equations Seminar 5 Gronwall’s Inequality Seminar 6 Method of Successive Approximations Seminar 7 Stability of Solutions Part III: Maple CodeLab 1 Introduction to Maple Lab 2 Differential Equations with Maple Lab 3 Linear Differential Systems Lab 4 Second-Order Differential Equations Lab 5 Nonlinear Differential Systems Lab 6 Numerical Computation of Solutions Lab 7 Writing Custom Maple Programs Lab 8 Differential Systems with Control Parameters
Radu Precup, Babeș-Bolyai University, Romania.
"This book is very suitable for readers who wish a quick and easy introduction to ordinary differential equations (DEs). The text offers many examples, exercises and computer simulations. The content is divided into three parts."
Petio S. Kelevedjev in: Zentralblatt MATH 1398.34002
Erscheinungsdatum | 23.01.2018 |
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Reihe/Serie | De Gruyter Textbook |
Zusatzinfo | 17 col. ill. |
Verlagsort | Berlin/Boston |
Sprache | englisch |
Maße | 170 x 240 mm |
Gewicht | 456 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | DGS • Differential Equations • Differential Equations and Dynamical Systems • Differenzialgleichungen • Gewöhnliche Differentialgleichung • Labordiagnostik • Mathematical & Computational • Mathematical Analysis • Mathematics • Mathematik • Numerical analysis • Numerical and Computational Mathematics • Physics • Renz • Science |
ISBN-10 | 3-11-044742-8 / 3110447428 |
ISBN-13 | 978-3-11-044742-2 / 9783110447422 |
Zustand | Neuware |
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