An Introduction to the Study of Integral Equations - Cambridge Tracts in Mathematics

Marc Notes: 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. Brief Description: First published in 1914, this book was written to provide readers with 'the main portions of the theory of integral equations'. Table 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.