Hugendubel.info - Die B2B Online-Buchhandlung 

Merkliste
Die Merkliste ist leer.
Bitte warten - die Druckansicht der Seite wird vorbereitet.
Der Druckdialog öffnet sich, sobald die Seite vollständig geladen wurde.
Sollte die Druckvorschau unvollständig sein, bitte schliessen und "Erneut drucken" wählen.

Applying Power Series to Differential Equations

E-BookPDF1 - PDF WatermarkE-Book
217 Seiten
Englisch
Springer International Publishingerschienen am15.03.20231st ed. 2022
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.mehr
Verfügbare Formate
BuchGebunden
EUR64,19
BuchKartoniert, Paperback
EUR64,19
E-BookPDF1 - PDF WatermarkE-Book
EUR64,19

Produkt

KlappentextThis 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.
Details
Weitere ISBN/GTIN9783031245879
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2023
Erscheinungsdatum15.03.2023
Auflage1st ed. 2022
ReiheProblem Books in Mathematics
Seiten217 Seiten
SpracheEnglisch
IllustrationenXII, 217 p. 45 illus., 36 illus. in color.
Artikel-Nr.10360118
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Chapter 1. Introduction: The Linear ODE: x' = bx + c.- Chapter 2. Egg 1: The Quadratic ODE: x' = ax2 + bx + c.- Chapter 3. Egg 2: The First Order Exponent ODE: x' = xr.- Chapter 4. Egg 3: The First Order Sine ODE: x' = sin x.- Chapter 5. Egg 4: The Second Order Exponent ODE: x'' = -xr.- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum.- Chapter 7. Egg 6: Newton's Method and the Steepest Descent Method.- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs.- Chapter 9. Egg 8: The Periodic Planar ODE: x' = -y + ax2 + bxy + cy2 ; y' = x + dx2 + exy + fy2.- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z' = az2 + bz + c.- Chapter 11. Egg 10: Newton's N-Body Problem.- Chapter 12. Egg 11: ODEs and Conservation Laws.- Chapter 13. Egg 12: Delay Differential Equations.- Chapter 14. An Overview of Our Dozen ODEs.- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series.- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem.- Chapter 17. Appendix 3. A PDE Example: Burgers' Equation.- References.mehr

Autor

¿James Sochacki is a Professor Emeritus and Director of the Center for Computational Mathematics and Modeling at James Madison University, USA. Dr. Sochacki holds a PhD in Applied Mathematics (1985) and a Master¿s degree (1981) from the University of Wyoming, USA. His research interests lie in initial value ordinary and partial differential equations.


Anthony Tongen is a Professor and Vice Provost, Office of Research and Scholarship, at James Madison University, USA. Dr. Tongen holds a PhD in Applied Mathematics (2002) from Northwestern University, USA. His research focuses on mathematical biology, numerical analysis, dynamical systems, and game theory.
Weitere Artikel von
Sochacki, James
Weitere Artikel von
Tongen, Anthony