Verfügbarkeit: Differential and integral equations /

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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1. Verfasser:	Collins, P. J. (Peter J.)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Oxford : Oxford University Press, 2006.
Schlagworte:	Differential equations. Integral equations. Équations différentielles. Équations intégrales. MATHEMATICS > Differential Equations > General. Differential equations Integral equations Electronic books.
Online-Zugang:	DE-862 DE-863
Zusammenfassung:	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.
Beschreibung:	1 online resource (xii, 372 pages)
Bibliographie:	Includes bibliographical references (pages 365-368) and index.
ISBN:	019152400X 9780191524004 9780199297894 0199297894 9780198533825 0198533829 1281160199 9781281160195 9781435605633 1435605632

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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.
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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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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
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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

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