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Differential and Integral Equations~tqw~ darksiderg

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Differential and Integral Equations
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Type.................: Ebook
Part Size............: 1,961,181 bytes




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Posted by............: ~tqw~

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Release Notes
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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 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\'.

Table of Contents

Preface
How to use this book
Prerequisites
1. Integral equations and Picard\'s method
2. Existence and uniqueness
3. The homogeneous linear equation and Wronskians
4. The nn-homogeneous linear equation: Variations of parameters and Green\'s
functions
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. Hilbert-Schmidt theory
10. Iterative methods and Neumann series
11. The calculus of variations
12. The Sturm-Liouville equation
13. Series solutions
14. Transform methods
15. Phase-plane analysis
Appendix: The solution of some elementary ordinary differential equations
Bibliography
Index

Product Details

* ISBN: 0199297894
* ISBN-13: 9780199297894
* Format: Paperback, 386pp
* Publisher: Oxford University Press, USA
* Pub. Date: September 2006

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