Differential equations: a first course on ODE and a brief introduction to PDE
The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2023]
|
| Schriftenreihe: | De Gruyter Textbook
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| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Zusammenfassung: | The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of the chapters. In this edition complete solutions to all even number problems are given in the back of the book.The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 09. Dez 2023) |
| Beschreibung: | 1 Online-Ressource (XVI, 362 Seiten) |
| ISBN: | 9783111185675 |
| DOI: | 10.1515/9783111185675 |
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| spelling | Ambrosetti, Antonio 1944-2020 Verfasser (DE-588)111667070 aut Differential equations a first course on ODE and a brief introduction to PDE Shair Ahmad, Antonio Ambrosetti Berlin ; Boston De Gruyter [2023] 2024 1 Online-Ressource (XVI, 362 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter Textbook Description based on online resource; title from PDF title page (publisher's Web site, viewed 09. Dez 2023) The first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of the chapters. In this edition complete solutions to all even number problems are given in the back of the book.The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition In English Differentialgleichung Laplace-Transformation Ljapunov-Stabilitätstheorie Qualitative Theorie Sturm-Liouville-Problem MATHEMATICS / Differential Equations / General bisacsh Ahmad, Shair 1934- Sonstige (DE-588)1144305713 oth Erscheint auch als Druck-Ausgabe 9783111185248 https://doi.org/10.1515/9783111185675?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ambrosetti, Antonio 1944-2020 Differential equations a first course on ODE and a brief introduction to PDE Differentialgleichung Laplace-Transformation Ljapunov-Stabilitätstheorie Qualitative Theorie Sturm-Liouville-Problem MATHEMATICS / Differential Equations / General bisacsh |
| title | Differential equations a first course on ODE and a brief introduction to PDE |
| title_auth | Differential equations a first course on ODE and a brief introduction to PDE |
| title_exact_search | Differential equations a first course on ODE and a brief introduction to PDE |
| title_exact_search_txtP | Differential Equations A First Course on ODE and a Brief Introduction to PDE |
| title_full | Differential equations a first course on ODE and a brief introduction to PDE Shair Ahmad, Antonio Ambrosetti |
| title_fullStr | Differential equations a first course on ODE and a brief introduction to PDE Shair Ahmad, Antonio Ambrosetti |
| title_full_unstemmed | Differential equations a first course on ODE and a brief introduction to PDE Shair Ahmad, Antonio Ambrosetti |
| title_short | Differential equations |
| title_sort | differential equations a first course on ode and a brief introduction to pde |
| title_sub | a first course on ODE and a brief introduction to PDE |
| topic | Differentialgleichung Laplace-Transformation Ljapunov-Stabilitätstheorie Qualitative Theorie Sturm-Liouville-Problem MATHEMATICS / Differential Equations / General bisacsh |
| topic_facet | Differentialgleichung Laplace-Transformation Ljapunov-Stabilitätstheorie Qualitative Theorie Sturm-Liouville-Problem MATHEMATICS / Differential Equations / General |
| url | https://doi.org/10.1515/9783111185675?locatt=mode:legacy |
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