東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Power series." ]

切換: 標籤 | MARC模式 | ISBD

Applying power series to differentia...

Sochacki, James.

FindBook

Google Book

Amazon

博客來

Applying power series to differential equations = an exploration through questions and projects /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Applying power series to differential equations/ by James Sochacki, Anthony Tongen.
其他題名:	an exploration through questions and projects /
作者:	Sochacki, James.
其他作者:	Tongen, Anthony.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xii, 217 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-031-24587-9
ISBN:	9783031245879

Applying power series to differential equations = an exploration through questions and projects /
Sochacki, James.

Applying power series to differential equationsan exploration through questions and projects /[electronic resource] :by James Sochacki, Anthony Tongen. - Cham :Springer International Publishing :2022. - xii, 217 p. :ill., digital ;24 cm. - Problem books in mathematics,2197-8506. - Problem books in mathematics..

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.

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.

ISBN: 9783031245879

Standard No.: 10.1007/978-3-031-24587-9doiSubjects--Topical Terms:

517952
Differential equations.

LC Class. No.: QA371 / .S63 2022

Dewey Class. No.: 515.35

Applying power series to differential equations = an exploration through questions and projects /
LDR:02884nmm a2200337 a 4500 001 2308187
003 DE-He213
005 20230315140522.0
006 m d
007 cr nn 008maaau
008 230526s2022 sz s 0 eng d
020 $a 9783031245879 $q (electronic bk.)
020 $a 9783031245862 $q (paper)
024 7 $a 10.1007/978-3-031-24587-9 $2 doi
035 $a 978-3-031-24587-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371 $b .S63 2022
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.35 $2 23
090 $a QA371 $b .S678 2022
100 1 $a Sochacki, James. $3 3614177
245 1 0 $a Applying power series to differential equations $h [electronic resource] : $b an exploration through questions and projects / $c by James Sochacki, Anthony Tongen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xii, 217 p. : $b ill., digital ; $c 24 cm.
490 1 $a Problem books in mathematics, $x 2197-8506
505 0 $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: 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.
520 $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.
650 0 $a Differential equations. $3 517952
650 0 $a Power series. $3 711330
650 1 4 $a Differential Equations. $3 907890
650 2 4 $a Sequences, Series, Summability. $3 897266
650 2 4 $a Applied Dynamical Systems. $3 3538870
650 2 4 $a Field Theory and Polynomials. $3 891077
700 1 $a Tongen, Anthony. $3 3614178
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Problem books in mathematics. $3 1535952
856 4 0 $u https://doi.org/10.1007/978-3-031-24587-9
950 $a Mathematics and Statistics (SpringerNature-11649)