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on1373337926 |
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OCoLC |
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20240909213021.0 |
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m o d |
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cr cnu---unuuu |
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230320s2022 sz ob 000 0 eng d |
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|a YDX
|b eng
|e rda
|c YDX
|d GW5XE
|d YDX
|d OCLCF
|d SFB
|d OCLCO
|d S9M
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| 019 |
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|a 1379711077
|a 1380482730
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| 020 |
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|a 3031245873
|q (electronic bk.)
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|a 9783031245879
|q (electronic bk.)
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|z 9783031245862
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| 024 |
7 |
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|a 10.1007/978-3-031-24587-9
|2 doi
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| 035 |
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|a (OCoLC)1373337926
|z (OCoLC)1379711077
|z (OCoLC)1380482730
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| 050 |
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4 |
|a QA371
|b .S63 2022
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| 072 |
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7 |
|a PBKJ
|2 bicssc
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| 072 |
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7 |
|a MAT034000
|2 bisacsh
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|a PBKJ
|2 thema
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| 049 |
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|a HCDD
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| 100 |
1 |
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|a Sochacki, James,
|e author.
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| 245 |
1 |
0 |
|a Applying power series to differential equations :
|b an exploration through questions and projects /
|c James Sochacki, Anthony Tongen.
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| 264 |
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1 |
|a Cham, Switzerland :
|b Springer,
|c [2022]
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| 300 |
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|a 1 online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Problem Books in Mathematics,
|x 2197-8506
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| 504 |
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|a Includes bibliographical references.
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|a 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: Newtons 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: Newtons 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.
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|a 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.
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| 588 |
0 |
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|a Online resource; title from PDF title page (SpringerLink, viewed March 22, 2023).
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| 650 |
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|a Differential equations.
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| 650 |
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|a Power series.
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| 650 |
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7 |
|a Ecuaciones diferenciales
|2 embne
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| 650 |
0 |
7 |
|a Series de potencias
|2 embucm
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| 650 |
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7 |
|a Differential equations
|2 fast
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| 650 |
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7 |
|a Power series
|2 fast
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| 700 |
1 |
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|a Tongen, Anthony,
|e author.
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| 776 |
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|z 3-031-24586-5
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| 830 |
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0 |
|a Problem books in mathematics,
|x 2197-8506
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| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-031-24587-9
|y Click for online access
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| 903 |
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|a SPRING-MATH2022
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| 994 |
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|a 92
|b HCD
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