Info
Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| 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
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Applying Power Series to Differential Equations : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| Applying Power Series to Differential Equations : 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 |
| 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 | ||
| ||
Keeping it R.E.A.L [[electronic resource] ] : research experiences for all learners / / Carla D. Martin, Anthony Tongen
| Keeping it R.E.A.L [[electronic resource] ] : research experiences for all learners / / Carla D. Martin, Anthony Tongen |
| Autore | Martin Carla D |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2011 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 510.71 |
| Altri autori (Persone) | TongenAnthony |
| Collana | Classroom resource materials |
| Soggetto topico |
Critical thinking
Mathematics - Research Mathematics Mathematics - Study and teaching (Higher) Computation laboratories Project method in teaching |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-961-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
cover ; copyright page ; Untitled; Acknowledgments; Contents; Introduction and Motivation; Introduction; Motivation; Implementation; Grading; Organization; Computer Exploration of Mathematical Concepts; A Prime Project; A Golden Prime Project; A Rather Normal Project; Collatz Collapse; Fractions of Fractions; Diffusion by Chance; Random Investing; Infinite Digits with Finite Storage; Follow the Rules!; Chaotic Rabbits; Smoothing Out Tangles; Shortening Voices Everywhere; Student Poster Example; Numerical Algorithms; Bit by Bit; Getting to the Root of the Problem; Things that Periodically Fit
Going with the FlowSupercaliFRACTAListic!; Chain Reactions; The World's Largest Linear Algebra Problem; Shifting the Way We Think About Linear Algebra; Facing Reality with Eigenfaces; Matrix Surgery: Operating on Matrices; Student Poster Example; Advanced Numerical Analysis; Matrices of Matrices; Wrapping Around Matrices; Getting Smaller; Improved Hearing; You Match I Match; Seeing More Clearly; Eigenvalue Computing Side-by-Side; Delayed Understanding; Student Poster Example; Bibliography; Index; About the Authors |
| Record Nr. | UNINA-9910461897203321 |
|
Martin Carla D
|
||
| Washington, D.C., : Mathematical Association of America, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Keeping it R.E.A.L [[electronic resource] ] : research experiences for all learners / / Carla D. Martin, Anthony Tongen
| Keeping it R.E.A.L [[electronic resource] ] : research experiences for all learners / / Carla D. Martin, Anthony Tongen |
| Autore | Martin Carla D |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2011 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 510.71 |
| Altri autori (Persone) | TongenAnthony |
| Collana | Classroom resource materials |
| Soggetto topico |
Critical thinking
Mathematics - Research Mathematics Mathematics - Study and teaching (Higher) Computation laboratories Project method in teaching |
| ISBN | 0-88385-961-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
cover ; copyright page ; Untitled; Acknowledgments; Contents; Introduction and Motivation; Introduction; Motivation; Implementation; Grading; Organization; Computer Exploration of Mathematical Concepts; A Prime Project; A Golden Prime Project; A Rather Normal Project; Collatz Collapse; Fractions of Fractions; Diffusion by Chance; Random Investing; Infinite Digits with Finite Storage; Follow the Rules!; Chaotic Rabbits; Smoothing Out Tangles; Shortening Voices Everywhere; Student Poster Example; Numerical Algorithms; Bit by Bit; Getting to the Root of the Problem; Things that Periodically Fit
Going with the FlowSupercaliFRACTAListic!; Chain Reactions; The World's Largest Linear Algebra Problem; Shifting the Way We Think About Linear Algebra; Facing Reality with Eigenfaces; Matrix Surgery: Operating on Matrices; Student Poster Example; Advanced Numerical Analysis; Matrices of Matrices; Wrapping Around Matrices; Getting Smaller; Improved Hearing; You Match I Match; Seeing More Clearly; Eigenvalue Computing Side-by-Side; Delayed Understanding; Student Poster Example; Bibliography; Index; About the Authors |
| Altri titoli varianti |
Keeping it REAL
Research experiences for all learners |
| Record Nr. | UNINA-9910785930703321 |
|
Martin Carla D
|
||
| Washington, D.C., : Mathematical Association of America, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Keeping it R.E.A.L : research experiences for all learners / / Carla D. Martin, Anthony Tongen
| Keeping it R.E.A.L : research experiences for all learners / / Carla D. Martin, Anthony Tongen |
| Autore | Martin Carla D |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, 2011 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 510.71 |
| Altri autori (Persone) | TongenAnthony |
| Collana | Classroom resource materials |
| Soggetto topico |
Critical thinking
Mathematics - Research Mathematics Mathematics - Study and teaching (Higher) Computation laboratories Project method in teaching |
| ISBN | 0-88385-961-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
cover ; copyright page ; Untitled; Acknowledgments; Contents; Introduction and Motivation; Introduction; Motivation; Implementation; Grading; Organization; Computer Exploration of Mathematical Concepts; A Prime Project; A Golden Prime Project; A Rather Normal Project; Collatz Collapse; Fractions of Fractions; Diffusion by Chance; Random Investing; Infinite Digits with Finite Storage; Follow the Rules!; Chaotic Rabbits; Smoothing Out Tangles; Shortening Voices Everywhere; Student Poster Example; Numerical Algorithms; Bit by Bit; Getting to the Root of the Problem; Things that Periodically Fit
Going with the FlowSupercaliFRACTAListic!; Chain Reactions; The World's Largest Linear Algebra Problem; Shifting the Way We Think About Linear Algebra; Facing Reality with Eigenfaces; Matrix Surgery: Operating on Matrices; Student Poster Example; Advanced Numerical Analysis; Matrices of Matrices; Wrapping Around Matrices; Getting Smaller; Improved Hearing; You Match I Match; Seeing More Clearly; Eigenvalue Computing Side-by-Side; Delayed Understanding; Student Poster Example; Bibliography; Index; About the Authors |
| Altri titoli varianti |
Keeping it REAL
Research experiences for all learners |
| Record Nr. | UNINA-9910962482803321 |
|
Martin Carla D
|
||
| Washington, D.C., : Mathematical Association of America, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||