Introduction to the Study of Integral Equations

First published in 1914, this book was written to provide readers with 'the main portions of the theory of integral equations'.

List of contents

Introduction; 1. Some preliminary propositions and definitions; 2. Abel's mechanical problem; 3. Solution of Abel's equation; 4. Liouville's introduction of integral equations of the second kind; 5. The method of successive substitutions; 6. Voltera's treatment of equations of the second kind. Iterated and reciprocal functions; 7. Linear equations with an infinite number of variables; 8. Fredholm's solution; 9. The integral equation with a parameter; 10. The fundamental theorem concerning homogeneous integral equations, with some applications; 11. Symmetric kernels; 12. Orthogonal functions; 13. The integral equation of the first kind whose kernel is finite; 14. Equations of the first kind whose kernel or whose interval is not finite; Index.

Summary

First published in 1914, this book was written to provide readers with 'the main portions of the theory of integral equations in a readable and, at the same time, accurate form, following roughly the lines of historical development'. Textual notes are incorporated throughout.

Product details

• Authors: Maxime Bocher, Bocher Maxime
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 26.03.2015
• EAN: 9781107493490
• ISBN: 978-1-107-49349-0
• No. of pages: 80
• Series: Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematics
• Subjects: Humanities, art, music > History; Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Calculus, Integral calculus & equations, Integral calculus and equations