Zur Startseite gehen
0,00 €*
Cover: 9783031245862 | Applying Power Series to Differential Equations | Tongen (u. a.) | xii
Dekorationsartikel gehören nicht zum Leistungsumfang.
Applying Power Series to Differential Equations
An Exploration through Questions and Projects
Buch von Anthony Tongen (u. a.)
Sprache: Englisch

64,19 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
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.
Über den 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.
Zusammenfassung

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

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.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Problem Books in Mathematics
Inhalt: xii
217 S.
9 s/w Illustr.
36 farbige Illustr.
217 p. 45 illus.
36 illus. in color.
ISBN-13: 9783031245862
ISBN-10: 3031245865
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Tongen, Anthony
Sochacki, James
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Problem Books in Mathematics
Maße: 241 x 160 x 18 mm
Von/Mit: Anthony Tongen (u. a.)
Erscheinungsdatum: 16.03.2023
Gewicht: 0,56 kg
Artikel-ID: 125978554
Über den 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.
Zusammenfassung

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

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.
Details
Erscheinungsjahr: 2023
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Problem Books in Mathematics
Inhalt: xii
217 S.
9 s/w Illustr.
36 farbige Illustr.
217 p. 45 illus.
36 illus. in color.
ISBN-13: 9783031245862
ISBN-10: 3031245865
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Tongen, Anthony
Sochacki, James
Hersteller: Springer Nature Switzerland
Springer International Publishing
Springer International Publishing AG
Problem Books in Mathematics
Maße: 241 x 160 x 18 mm
Von/Mit: Anthony Tongen (u. a.)
Erscheinungsdatum: 16.03.2023
Gewicht: 0,56 kg
Artikel-ID: 125978554
Warnhinweis

Ähnliche Produkte

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...