| Description |
1 online resource (xii, 372 pages) |
| 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 |
| 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 |
| Bibliography |
Includes bibliographical references (pages 365-368) and index |
| Notes |
Print version record |
| Subject |
Differential equations.
|
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Integral equations.
|
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MATHEMATICS -- Differential Equations -- General.
|
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Differential equations
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Integral equations
|
| Form |
Electronic book
|
| ISBN |
019152400X |
|
9780191524004 |
|
9780199297894 |
|
0199297894 |
|
9780198533825 |
|
0198533829 |
|
1281160199 |
|
9781281160195 |
|
9781435605633 |
|
1435605632 |
|
