An Introduction to Difference Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1999
|
| Edition: | Second Edition |
| Series: | Undergraduate Texts in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The second edition has greatly benefited from a sizable number of comments and suggestions I received from users of the book. I hope that I have corrected all the er rors and misprints in the book. Important revisions were made in Chapters I and 4. In Chapter I, we added two appendices (global stability and periodic solutions). In Chapter 4, we added a section on applications to mathematical biology. Influenced by a friendly and some not so friendly comments about Chapter 8 (previously Chapter 7: Asymptotic Behavior of Difference Equations), I rewrote the chapter with additional material on Birkhoff's theory. Also, due to popular demand, a new chapter (Chapter 9) under the title "Applications to Continued Fractions and Orthogonal Polynomials" has been added. This chapter gives a rather thorough presentation of continued fractions and orthogonal polynomials and their intimate connection to second-order difference equations. Chapter 8 (Oscillation Theory) has now become Chapter 7. Accordingly, the new revised suggestions for using the text are as follows. The diagram on p. viii shows the interdependence of the chapters The book may be used with considerable flexibility. For a one-semester course, one may choose one of the following options: (i) If you want a course that emphasizes stability and control, then you may select Chapters I, 2, 3, and parts of 4, 5, and 6. This is perhaps appropriate for a class populated by mathematics, physics, and engineering majors |
| Physical Description: | 1 Online-Ressource (XVIII, 429 p) |
| ISBN: | 9781475731101 9781475731125 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-3110-1 |
Staff View
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| isbn | 9781475731101 9781475731125 |
| issn | 0172-6056 |
| language | English |
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| spelling | Elaydi, Saber N. Verfasser aut An Introduction to Difference Equations by Saber N. Elaydi Second Edition New York, NY Springer New York 1999 1 Online-Ressource (XVIII, 429 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 The second edition has greatly benefited from a sizable number of comments and suggestions I received from users of the book. I hope that I have corrected all the er rors and misprints in the book. Important revisions were made in Chapters I and 4. In Chapter I, we added two appendices (global stability and periodic solutions). In Chapter 4, we added a section on applications to mathematical biology. Influenced by a friendly and some not so friendly comments about Chapter 8 (previously Chapter 7: Asymptotic Behavior of Difference Equations), I rewrote the chapter with additional material on Birkhoff's theory. Also, due to popular demand, a new chapter (Chapter 9) under the title "Applications to Continued Fractions and Orthogonal Polynomials" has been added. This chapter gives a rather thorough presentation of continued fractions and orthogonal polynomials and their intimate connection to second-order difference equations. Chapter 8 (Oscillation Theory) has now become Chapter 7. Accordingly, the new revised suggestions for using the text are as follows. The diagram on p. viii shows the interdependence of the chapters The book may be used with considerable flexibility. For a one-semester course, one may choose one of the following options: (i) If you want a course that emphasizes stability and control, then you may select Chapters I, 2, 3, and parts of 4, 5, and 6. This is perhaps appropriate for a class populated by mathematics, physics, and engineering majors Mathematics Global analysis (Mathematics) Mathematical optimization Analysis 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/10.1007/978-1-4757-3110-1 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) Mathematical optimization Analysis 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) Mathematical optimization Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Differenzengleichung (DE-588)4012264-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Mathematical optimization Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Differenzengleichung |
| url | https://doi.org/10.1007/978-1-4757-3110-1 |
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