Differential and integral equations /:
Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differ...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford :
Oxford University Press,
2006.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform m. |
| Physical Description: | 1 online resource (xii, 372 pages) |
| Bibliography: | Includes bibliographical references (pages 365-368) and index. |
| ISBN: | 019152400X 9780191524004 9780199297894 0199297894 9780198533825 0198533829 1281160199 9781281160195 9781435605633 1435605632 |
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| 245 | 1 | 0 | |a Differential and integral equations / |c Peter J. Collins. |
| 260 | |a Oxford : |b Oxford University Press, |c 2006. | ||
| 300 | |a 1 online resource (xii, 372 pages) | ||
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| 504 | |a Includes bibliographical references (pages 365-368) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface; Contents; How to use this book; Prerequisites; 0 Some Preliminaries; 1 Integral Equations and Picard's Method; 2 Existence and Uniqueness; 3 The Homogeneous Linear Equation and Wronskians; 4 The Non-Homogeneous Linear Equation; 5 First-Order Partial Differential Equations; 6 Second-Order Partial Differential Equations; 7 The Diffusion and Wave Equations and the Equation of Laplace; 8 The Fredholm Alternative; 9 HilbertSchmidt Theory; 10 Iterative Methods and Neumann Series; 11 The Calculus of Variations; 12 The SturmLiouville Equation; 13 Series Solutions; 14 Transform Methods. | |
| 505 | 8 | |a 15 Phase-Plane AnalysisAppendix: the solution of some elementary ordinary differential equations; Bibliography; Index. | |
| 520 | |a Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform m. | ||
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 0 | |a Integral equations. |0 http://id.loc.gov/authorities/subjects/sh85067088 | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 6 | |a Équations intégrales. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Integral equations |2 fast | |
| 655 | 0 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Collins, P.J. (Peter J.). |t Differential and integral equations. |d Oxford : Oxford University Press, 2006 |w (DLC) 2006299273 |
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| author | Collins, P. J. (Peter J.) |
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| contents | Preface; Contents; How to use this book; Prerequisites; 0 Some Preliminaries; 1 Integral Equations and Picard's Method; 2 Existence and Uniqueness; 3 The Homogeneous Linear Equation and Wronskians; 4 The Non-Homogeneous Linear Equation; 5 First-Order Partial Differential Equations; 6 Second-Order Partial Differential Equations; 7 The Diffusion and Wave Equations and the Equation of Laplace; 8 The Fredholm Alternative; 9 HilbertSchmidt Theory; 10 Iterative Methods and Neumann Series; 11 The Calculus of Variations; 12 The SturmLiouville Equation; 13 Series Solutions; 14 Transform Methods. 15 Phase-Plane AnalysisAppendix: the solution of some elementary ordinary differential equations; Bibliography; Index. |
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| dewey-full | 515.35 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
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| discipline | Mathematik |
| format | Electronic eBook |
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This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. 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| genre | Electronic books. |
| genre_facet | Electronic books. |
| id | ZDB-4-EBA-ocn252689114 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:11Z |
| institution | BVB |
| isbn | 019152400X 9780191524004 9780199297894 0199297894 9780198533825 0198533829 1281160199 9781281160195 9781435605633 1435605632 |
| language | English |
| oclc_num | 252689114 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 372 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Oxford University Press, |
| record_format | marc |
| spelling | Collins, P. J. (Peter J.) https://id.oclc.org/worldcat/entity/E39PCjBcpCGTYqvPBTBgWyJ8VK http://id.loc.gov/authorities/names/nb2007020608 Differential and integral equations / Peter J. Collins. Oxford : Oxford University Press, 2006. 1 online resource (xii, 372 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references (pages 365-368) and index. Print version record. Preface; Contents; How to use this book; Prerequisites; 0 Some Preliminaries; 1 Integral Equations and Picard's Method; 2 Existence and Uniqueness; 3 The Homogeneous Linear Equation and Wronskians; 4 The Non-Homogeneous Linear Equation; 5 First-Order Partial Differential Equations; 6 Second-Order Partial Differential Equations; 7 The Diffusion and Wave Equations and the Equation of Laplace; 8 The Fredholm Alternative; 9 HilbertSchmidt Theory; 10 Iterative Methods and Neumann Series; 11 The Calculus of Variations; 12 The SturmLiouville Equation; 13 Series Solutions; 14 Transform Methods. 15 Phase-Plane AnalysisAppendix: the solution of some elementary ordinary differential equations; Bibliography; Index. Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform m. Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Équations différentielles. Équations intégrales. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Integral equations fast Electronic books. Print version: Collins, P.J. (Peter J.). Differential and integral equations. Oxford : Oxford University Press, 2006 (DLC) 2006299273 |
| spellingShingle | Collins, P. J. (Peter J.) Differential and integral equations / Preface; Contents; How to use this book; Prerequisites; 0 Some Preliminaries; 1 Integral Equations and Picard's Method; 2 Existence and Uniqueness; 3 The Homogeneous Linear Equation and Wronskians; 4 The Non-Homogeneous Linear Equation; 5 First-Order Partial Differential Equations; 6 Second-Order Partial Differential Equations; 7 The Diffusion and Wave Equations and the Equation of Laplace; 8 The Fredholm Alternative; 9 HilbertSchmidt Theory; 10 Iterative Methods and Neumann Series; 11 The Calculus of Variations; 12 The SturmLiouville Equation; 13 Series Solutions; 14 Transform Methods. 15 Phase-Plane AnalysisAppendix: the solution of some elementary ordinary differential equations; Bibliography; Index. Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Équations différentielles. Équations intégrales. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Integral equations fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037890 http://id.loc.gov/authorities/subjects/sh85067088 |
| title | Differential and integral equations / |
| title_auth | Differential and integral equations / |
| title_exact_search | Differential and integral equations / |
| title_full | Differential and integral equations / Peter J. Collins. |
| title_fullStr | Differential and integral equations / Peter J. Collins. |
| title_full_unstemmed | Differential and integral equations / Peter J. Collins. |
| title_short | Differential and integral equations / |
| title_sort | differential and integral equations |
| topic | Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Équations différentielles. Équations intégrales. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Integral equations fast |
| topic_facet | Differential equations. Integral equations. Équations différentielles. Équations intégrales. MATHEMATICS Differential Equations General. Differential equations Integral equations Electronic books. |
| work_keys_str_mv | AT collinspj differentialandintegralequations |