Differential And Integral Equations by Peter J. Collins

Differential And Integral Equations

byPeter J. Collins

Paperback | September 3, 2006

not yet rated|write a review

Pricing and Purchase Info


Earn 410 plum® points

Out of stock online

Not available in stores


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 partialdifferential 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 methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis.Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.

About The Author

Peter J. Collins is at St. Edmund Hall, University of Oxford.
Lamborghini Model By Model
Lamborghini Model By Model

by Peter Collins


Ships within 3-5 weeks

Available in stores

Ferrari 312P & 312PB
Ferrari 312P & 312PB

by Ed McDonough


Available for download

Not available in stores

British Touring Car Racing: The crowd's favourite - late 1960s to 1990
British Touring Car Racing: The crowd's favourite - late 1960s to 1990

by Peter Collins


Available for download

Not available in stores

Shop this author

Details & Specs

Title:Differential And Integral EquationsFormat:PaperbackDimensions:392 pages, 9.69 × 7.44 × 0.87 inPublished:September 3, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199297894

ISBN - 13:9780199297894

Look for similar items by category:

Customer Reviews of Differential And Integral Equations


Extra Content

Table of Contents

PrefaceHow to use this bookPrerequisites1. Integral equations and Picard's method2. Existence and uniqueness3. The homogeneous linear equation and Wronskians4. The non-homogeneous linear equation: Variations of parameters and Green's functions5. First-order partial differential equations6. Second-order partial differential equations7. The diffusion and wave equations and the equation of Laplace8. The Fredholm alternative9. Hilbert-Schmidt theory10. Iterative methods and Neumann series11. The calculus of variations12. The Sturm-Liouville equation13. Series solutions14. Transform methods15. Phase-plane analysisAppendix: The solution of some elementary ordinary differential equationsBibliographyIndex

Editorial Reviews

`The text is a valuable source of information on classical and modern methods of applied mathematics and is warmly recommended to mathematiians and non-mathematicians both as a textbook and as an easily accessible reference on the subject'Yuri V. Rogovchenko, Zentralblatt MATH