Linear Difference Equations with Discrete Transform Methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Springer US
1996
|
| Series: | Mathematics and Its Applications
363 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solving, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is intended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the direct use of the discrete Fourier transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar methods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solving ordinary difference equations. The treatment closely parallels what many students have already learned about using the operational (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in the continuous case, discrete operational methods may not solve problems that are intractable by other methods, but they can facilitate the solution of a large class of discrete initial and boundary value problems. Such operational methods, or what we shall term "operational sum calculus," may be extended easily to solve partial difference equations associated with initial and/or boundary value problems |
| Physical Description: | 1 Online-Ressource (XXI, 442 p) |
| ISBN: | 9781475756579 9781441947550 |
| DOI: | 10.1007/978-1-4757-5657-9 |
Staff View
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| 500 | |a This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solving, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is intended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the direct use of the discrete Fourier transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar methods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solving ordinary difference equations. The treatment closely parallels what many students have already learned about using the operational (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in the continuous case, discrete operational methods may not solve problems that are intractable by other methods, but they can facilitate the solution of a large class of discrete initial and boundary value problems. Such operational methods, or what we shall term "operational sum calculus," may be extended easily to solve partial difference equations associated with initial and/or boundary value problems | ||
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| isbn | 9781475756579 9781441947550 |
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| spelling | Jerri, Abdul J. Verfasser aut Linear Difference Equations with Discrete Transform Methods by Abdul J. Jerri Boston, MA Springer US 1996 1 Online-Ressource (XXI, 442 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 363 This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solving, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is intended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the direct use of the discrete Fourier transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar methods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solving ordinary difference equations. The treatment closely parallels what many students have already learned about using the operational (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in the continuous case, discrete operational methods may not solve problems that are intractable by other methods, but they can facilitate the solution of a large class of discrete initial and boundary value problems. Such operational methods, or what we shall term "operational sum calculus," may be extended easily to solve partial difference equations associated with initial and/or boundary value problems Mathematics Functional equations Integral Transforms Computer science / Mathematics Difference and Functional Equations Computational Mathematics and Numerical Analysis Integral Transforms, Operational Calculus Mathematical Modeling and Industrial Mathematics Informatik Mathematik Lineare Differenzengleichung (DE-588)4203414-0 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Lineare Differenzengleichung (DE-588)4203414-0 s Transformation Mathematik (DE-588)4060637-5 s 1\p DE-604 Mathematics and Its Applications 363 (DE-604)BV008163334 363 https://doi.org/10.1007/978-1-4757-5657-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jerri, Abdul J. Linear Difference Equations with Discrete Transform Methods Mathematics and Its Applications Mathematics Functional equations Integral Transforms Computer science / Mathematics Difference and Functional Equations Computational Mathematics and Numerical Analysis Integral Transforms, Operational Calculus Mathematical Modeling and Industrial Mathematics Informatik Mathematik Lineare Differenzengleichung (DE-588)4203414-0 gnd Transformation Mathematik (DE-588)4060637-5 gnd |
| subject_GND | (DE-588)4203414-0 (DE-588)4060637-5 |
| title | Linear Difference Equations with Discrete Transform Methods |
| title_auth | Linear Difference Equations with Discrete Transform Methods |
| title_exact_search | Linear Difference Equations with Discrete Transform Methods |
| title_full | Linear Difference Equations with Discrete Transform Methods by Abdul J. Jerri |
| title_fullStr | Linear Difference Equations with Discrete Transform Methods by Abdul J. Jerri |
| title_full_unstemmed | Linear Difference Equations with Discrete Transform Methods by Abdul J. Jerri |
| title_short | Linear Difference Equations with Discrete Transform Methods |
| title_sort | linear difference equations with discrete transform methods |
| topic | Mathematics Functional equations Integral Transforms Computer science / Mathematics Difference and Functional Equations Computational Mathematics and Numerical Analysis Integral Transforms, Operational Calculus Mathematical Modeling and Industrial Mathematics Informatik Mathematik Lineare Differenzengleichung (DE-588)4203414-0 gnd Transformation Mathematik (DE-588)4060637-5 gnd |
| topic_facet | Mathematics Functional equations Integral Transforms Computer science / Mathematics Difference and Functional Equations Computational Mathematics and Numerical Analysis Integral Transforms, Operational Calculus Mathematical Modeling and Industrial Mathematics Informatik Mathematik Lineare Differenzengleichung Transformation Mathematik |
| url | https://doi.org/10.1007/978-1-4757-5657-9 |
| volume_link | (DE-604)BV008163334 |
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