Differential Equations :: Theory and Applications.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Ashland :
Arcler Press,
2019.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource (425 pages) |
| ISBN: | 1773615963 9781773615967 |
Internformat
MARC
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| 100 | 1 | |a Borres, Maria Catherine. | |
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| 505 | 0 | |a Cover; Half Title Page; Title Page; Copyright Page; About the Author; Table of Contents; Preface; Chapter 1 Basic Concepts of Differential Equations; 1.1. Introduction; 1.2. The Bernoulli Equation; 1.3. Differential Equations of Higher Order; 1.4. The Wronskian; Chapter 2 Fundamental Concepts of Partial Differential Equations; 2.1. Introduction; 2.2. Classification of Second Order PDE; 2.3. Summary and Discussion; 2.4. Classification of Second Order PDE; Chapter 3 Application of Differential Equations In Mechanics; 3.1. Introduction; 3.2. Projectile Motion; 3.3. Summary and Discussion | |
| 505 | 8 | |a Chapter 4 Elliptic Differential Equation4.1. Introduction; 4.2. Boundary Value Problem (BVPs); 4.3. Some Important Mathematical Tools; 4.4. Properties Of Harmonic Functions; 4.5. Separation Of Variables; 4.6. Dirichlet Problem For A Rectangle; 4.7. The Neumann Problem For A Rectangle; 4.8. Interior Dirichlet Problem For A Circle; 4.9. Exterior Dirichlet Problem For A Circle; 4.10. Interior Neumann Problem For A Circle; 4.11. Solution Of Laplace Equation In Cylindrical Coordinates; 4.12. Solution Of Laplace Equation In Spherical Coordinates; 4.13. Miscellaneous Example | |
| 505 | 8 | |a 4.14. Summary And DiscussionsChapter 5 Hyperbolic Differential Equation; 5.1 Introduction; 5.2. Solution Of One-Dimensional Wave Equation by Canonical Reduction; 5.3. The Initial Value Problem; D'alembert's Solution; 5.4. Summary And Discussion; Chapter 6 Parabolic Differential Equations; 6.1. Introduction; 6.2. Boundary Conditions; 6.3. Elementary Solutions Of The Diffusion Equation; 6.4. Dirac Delta Function; 6.5. Separation Of Variables Method; 6.6. Maximum-Minimum Principle and Consequences; 6.7. Miscellaneous Example; 6.8. Boundary Conditions; Chapter 7 Laplace Transform Methods | |
| 505 | 8 | |a 7.1. Introduction7.2. Transform Of Some Elementary Functions; 7.3. Properties Of Laplace Transform; 7.4. Transform Of A Periodic Function; 7.5. Transform Of Error Function; 7.6. Transform Of Bessel's Function; 7.7. Transform Of Dirac Delta Function; 7.8. Convolution Theorem (Faltung Theorem); Chapter 8 Green's Function; 8.1. Introduction; 8.2. The Eigenfunction Method; 8.3. Summary and Discussion; References; Index | |
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 6 | |a Équations différentielles. | |
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| 776 | 0 | 8 | |i Print version: |a Borres, Maria Catherine. |t Differential Equations : Theory and Applications. |d Ashland : Arcler Press, ©2019 |
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| author | Borres, Maria Catherine |
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| contents | Cover; Half Title Page; Title Page; Copyright Page; About the Author; Table of Contents; Preface; Chapter 1 Basic Concepts of Differential Equations; 1.1. Introduction; 1.2. The Bernoulli Equation; 1.3. Differential Equations of Higher Order; 1.4. The Wronskian; Chapter 2 Fundamental Concepts of Partial Differential Equations; 2.1. Introduction; 2.2. Classification of Second Order PDE; 2.3. Summary and Discussion; 2.4. Classification of Second Order PDE; Chapter 3 Application of Differential Equations In Mechanics; 3.1. Introduction; 3.2. Projectile Motion; 3.3. Summary and Discussion Chapter 4 Elliptic Differential Equation4.1. Introduction; 4.2. Boundary Value Problem (BVPs); 4.3. Some Important Mathematical Tools; 4.4. Properties Of Harmonic Functions; 4.5. Separation Of Variables; 4.6. Dirichlet Problem For A Rectangle; 4.7. The Neumann Problem For A Rectangle; 4.8. Interior Dirichlet Problem For A Circle; 4.9. Exterior Dirichlet Problem For A Circle; 4.10. Interior Neumann Problem For A Circle; 4.11. Solution Of Laplace Equation In Cylindrical Coordinates; 4.12. Solution Of Laplace Equation In Spherical Coordinates; 4.13. Miscellaneous Example 4.14. Summary And DiscussionsChapter 5 Hyperbolic Differential Equation; 5.1 Introduction; 5.2. Solution Of One-Dimensional Wave Equation by Canonical Reduction; 5.3. The Initial Value Problem; D'alembert's Solution; 5.4. Summary And Discussion; Chapter 6 Parabolic Differential Equations; 6.1. Introduction; 6.2. Boundary Conditions; 6.3. Elementary Solutions Of The Diffusion Equation; 6.4. Dirac Delta Function; 6.5. Separation Of Variables Method; 6.6. Maximum-Minimum Principle and Consequences; 6.7. Miscellaneous Example; 6.8. Boundary Conditions; Chapter 7 Laplace Transform Methods 7.1. Introduction7.2. Transform Of Some Elementary Functions; 7.3. Properties Of Laplace Transform; 7.4. Transform Of A Periodic Function; 7.5. Transform Of Error Function; 7.6. Transform Of Bessel's Function; 7.7. Transform Of Dirac Delta Function; 7.8. Convolution Theorem (Faltung Theorem); Chapter 8 Green's Function; 8.1. Introduction; 8.2. The Eigenfunction Method; 8.3. Summary and Discussion; References; Index |
| ctrlnum | (OCoLC)1085190191 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1085190191 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:29:21Z |
| institution | BVB |
| isbn | 1773615963 9781773615967 |
| language | English |
| oclc_num | 1085190191 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (425 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | Arcler Press, |
| record_format | marc |
| spelling | Borres, Maria Catherine. Differential Equations : Theory and Applications. Ashland : Arcler Press, 2019. 1 online resource (425 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. Cover; Half Title Page; Title Page; Copyright Page; About the Author; Table of Contents; Preface; Chapter 1 Basic Concepts of Differential Equations; 1.1. Introduction; 1.2. The Bernoulli Equation; 1.3. Differential Equations of Higher Order; 1.4. The Wronskian; Chapter 2 Fundamental Concepts of Partial Differential Equations; 2.1. Introduction; 2.2. Classification of Second Order PDE; 2.3. Summary and Discussion; 2.4. Classification of Second Order PDE; Chapter 3 Application of Differential Equations In Mechanics; 3.1. Introduction; 3.2. Projectile Motion; 3.3. Summary and Discussion Chapter 4 Elliptic Differential Equation4.1. Introduction; 4.2. Boundary Value Problem (BVPs); 4.3. Some Important Mathematical Tools; 4.4. Properties Of Harmonic Functions; 4.5. Separation Of Variables; 4.6. Dirichlet Problem For A Rectangle; 4.7. The Neumann Problem For A Rectangle; 4.8. Interior Dirichlet Problem For A Circle; 4.9. Exterior Dirichlet Problem For A Circle; 4.10. Interior Neumann Problem For A Circle; 4.11. Solution Of Laplace Equation In Cylindrical Coordinates; 4.12. Solution Of Laplace Equation In Spherical Coordinates; 4.13. Miscellaneous Example 4.14. Summary And DiscussionsChapter 5 Hyperbolic Differential Equation; 5.1 Introduction; 5.2. Solution Of One-Dimensional Wave Equation by Canonical Reduction; 5.3. The Initial Value Problem; D'alembert's Solution; 5.4. Summary And Discussion; Chapter 6 Parabolic Differential Equations; 6.1. Introduction; 6.2. Boundary Conditions; 6.3. Elementary Solutions Of The Diffusion Equation; 6.4. Dirac Delta Function; 6.5. Separation Of Variables Method; 6.6. Maximum-Minimum Principle and Consequences; 6.7. Miscellaneous Example; 6.8. Boundary Conditions; Chapter 7 Laplace Transform Methods 7.1. Introduction7.2. Transform Of Some Elementary Functions; 7.3. Properties Of Laplace Transform; 7.4. Transform Of A Periodic Function; 7.5. Transform Of Error Function; 7.6. Transform Of Bessel's Function; 7.7. Transform Of Dirac Delta Function; 7.8. Convolution Theorem (Faltung Theorem); Chapter 8 Green's Function; 8.1. Introduction; 8.2. The Eigenfunction Method; 8.3. Summary and Discussion; References; Index Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Équations différentielles. Differential equations fast Print version: Borres, Maria Catherine. Differential Equations : Theory and Applications. Ashland : Arcler Press, ©2019 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=2013905 Volltext |
| spellingShingle | Borres, Maria Catherine Differential Equations : Theory and Applications. Cover; Half Title Page; Title Page; Copyright Page; About the Author; Table of Contents; Preface; Chapter 1 Basic Concepts of Differential Equations; 1.1. Introduction; 1.2. The Bernoulli Equation; 1.3. Differential Equations of Higher Order; 1.4. The Wronskian; Chapter 2 Fundamental Concepts of Partial Differential Equations; 2.1. Introduction; 2.2. Classification of Second Order PDE; 2.3. Summary and Discussion; 2.4. Classification of Second Order PDE; Chapter 3 Application of Differential Equations In Mechanics; 3.1. Introduction; 3.2. Projectile Motion; 3.3. Summary and Discussion Chapter 4 Elliptic Differential Equation4.1. Introduction; 4.2. Boundary Value Problem (BVPs); 4.3. Some Important Mathematical Tools; 4.4. Properties Of Harmonic Functions; 4.5. Separation Of Variables; 4.6. Dirichlet Problem For A Rectangle; 4.7. The Neumann Problem For A Rectangle; 4.8. Interior Dirichlet Problem For A Circle; 4.9. Exterior Dirichlet Problem For A Circle; 4.10. Interior Neumann Problem For A Circle; 4.11. Solution Of Laplace Equation In Cylindrical Coordinates; 4.12. Solution Of Laplace Equation In Spherical Coordinates; 4.13. Miscellaneous Example 4.14. Summary And DiscussionsChapter 5 Hyperbolic Differential Equation; 5.1 Introduction; 5.2. Solution Of One-Dimensional Wave Equation by Canonical Reduction; 5.3. The Initial Value Problem; D'alembert's Solution; 5.4. Summary And Discussion; Chapter 6 Parabolic Differential Equations; 6.1. Introduction; 6.2. Boundary Conditions; 6.3. Elementary Solutions Of The Diffusion Equation; 6.4. Dirac Delta Function; 6.5. Separation Of Variables Method; 6.6. Maximum-Minimum Principle and Consequences; 6.7. Miscellaneous Example; 6.8. Boundary Conditions; Chapter 7 Laplace Transform Methods 7.1. Introduction7.2. Transform Of Some Elementary Functions; 7.3. Properties Of Laplace Transform; 7.4. Transform Of A Periodic Function; 7.5. Transform Of Error Function; 7.6. Transform Of Bessel's Function; 7.7. Transform Of Dirac Delta Function; 7.8. Convolution Theorem (Faltung Theorem); Chapter 8 Green's Function; 8.1. Introduction; 8.2. The Eigenfunction Method; 8.3. Summary and Discussion; References; Index Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Équations différentielles. Differential equations fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037890 |
| title | Differential Equations : Theory and Applications. |
| title_auth | Differential Equations : Theory and Applications. |
| title_exact_search | Differential Equations : Theory and Applications. |
| title_full | Differential Equations : Theory and Applications. |
| title_fullStr | Differential Equations : Theory and Applications. |
| title_full_unstemmed | Differential Equations : Theory and Applications. |
| title_short | Differential Equations : |
| title_sort | differential equations theory and applications |
| title_sub | Theory and Applications. |
| topic | Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Équations différentielles. Differential equations fast |
| topic_facet | Differential equations. Équations différentielles. Differential equations |
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| work_keys_str_mv | AT borresmariacatherine differentialequationstheoryandapplications |