Differential and Integral Equations

Name: Differential and Integral Equations
Price: 183.23 USD
Availability: InStock
ISBN: 9780198533825

ISBN-10: 0198533829

ISBN-13: 9780198533825

Edition: 2006

Authors: Peter Collins

List price: $220.00

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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 methods and phase-plane analysis. The calculus of variations will take them further into the world…

Book details

List price: $220.00
Copyright year: 2006
Publisher: Oxford University Press, Incorporated
Publication date: 10/5/2006
Binding: Hardcover
Pages: 381
Size: 7.68" wide x 10.00" long x 1.00" tall
Weight: 2.002
Language: English



Preface How to use this book Prerequisites



Integral equations and Picard's method



Existence and uniqueness



The homogeneous linear equation and Wronskians



The non-homogeneous linear equation: Variations of parameters and Green's functions



First-order partial differential equations



Second-order partial differential equations



The diffusion and wave equations and the equation of Laplace



The Fredholm alternative



Hilbert-Schmidt theory



Iterative methods and Neumann series



The calculus of variations



The Sturm-Liouville equation



Series solutions



Transform methods



Phase-plane analysis


Appendix: The solution of some elementary ordinary differential equations


Bibliography


Index