Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
Autore | Sochacki James |
Edizione | [1st ed. 2022.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
Disciplina | 515.35 |
Collana | Problem Books in Mathematics |
Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-24587-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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. |
Record Nr. | UNINA-9910682548903321 |
Sochacki James | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
Autore | Sochacki James |
Edizione | [1st ed. 2022.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
Disciplina | 515.35 |
Collana | Problem Books in Mathematics |
Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-031-24587-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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. |
Record Nr. | UNISA-996518463403316 |
Sochacki James | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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