An Introduction to Difference Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1996
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book grew out of lecture notes I used in a course on difference equations that I taught at Trinity University for the past five years. The classes were largely pop ulated by juniors and seniors majoring in Mathematics, Engineering, Chemistry, Computer Science, and Physics. This book is intended to be used as a textbook for a course on difference equations at the level of both advanced undergraduate and beginning graduate. It may also be used as a supplement for engineering courses on discrete systems and control theory. The main prerequisites for most of the material in this book are calculus and linear algebra. However, some topics in later chapters may require some rudiments of advanced calculus. Since many of the chapters in the book are independent, the instructor has great flexibility in choosing topics for the first one-semester course. A diagram showing the interdependence of the chapters in the book appears following the preface. This book presents the current state of affairs in many areas such as stability, Z-transform, asymptoticity, oscillations and control theory. However, this book is by no means encyclopedic and does not contain many important topics, such as Numerical Analysis, Combinatorics, Special functions and orthogonal polyno mials, boundary value problems, partial difference equations, chaos theory, and fractals. The nonselection of these topics is dictated not only by the limitations imposed by the elementary nature of this book, but also by the research interest (or lack thereof) of the author |
| Beschreibung: | 1 Online-Ressource (XIII, 390 p) |
| ISBN: | 9781475791686 9781475791709 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-9168-6 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-9168-6 |
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| indexdate | 2024-07-10T01:21:09Z |
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| isbn | 9781475791686 9781475791709 |
| issn | 0172-6056 |
| language | English |
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| spelling | Elaydi, Saber N. Verfasser aut An Introduction to Difference Equations by Saber N. Elaydi New York, NY Springer New York 1996 1 Online-Ressource (XIII, 390 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This book grew out of lecture notes I used in a course on difference equations that I taught at Trinity University for the past five years. The classes were largely pop ulated by juniors and seniors majoring in Mathematics, Engineering, Chemistry, Computer Science, and Physics. This book is intended to be used as a textbook for a course on difference equations at the level of both advanced undergraduate and beginning graduate. It may also be used as a supplement for engineering courses on discrete systems and control theory. The main prerequisites for most of the material in this book are calculus and linear algebra. However, some topics in later chapters may require some rudiments of advanced calculus. Since many of the chapters in the book are independent, the instructor has great flexibility in choosing topics for the first one-semester course. A diagram showing the interdependence of the chapters in the book appears following the preface. This book presents the current state of affairs in many areas such as stability, Z-transform, asymptoticity, oscillations and control theory. However, this book is by no means encyclopedic and does not contain many important topics, such as Numerical Analysis, Combinatorics, Special functions and orthogonal polyno mials, boundary value problems, partial difference equations, chaos theory, and fractals. The nonselection of these topics is dictated not only by the limitations imposed by the elementary nature of this book, but also by the research interest (or lack thereof) of the author Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-9168-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Elaydi, Saber N. An Introduction to Difference Equations Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Differenzengleichung (DE-588)4012264-5 gnd |
| subject_GND | (DE-588)4012264-5 |
| title | An Introduction to Difference Equations |
| title_auth | An Introduction to Difference Equations |
| title_exact_search | An Introduction to Difference Equations |
| title_full | An Introduction to Difference Equations by Saber N. Elaydi |
| title_fullStr | An Introduction to Difference Equations by Saber N. Elaydi |
| title_full_unstemmed | An Introduction to Difference Equations by Saber N. Elaydi |
| title_short | An Introduction to Difference Equations |
| title_sort | an introduction to difference equations |
| topic | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Differenzengleichung (DE-588)4012264-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Differenzengleichung |
| url | https://doi.org/10.1007/978-1-4757-9168-6 |
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