Derived from the author's lectures at Leningrad University, this volume focuses on the concept of integral equations in several different contexts, including:
• Fredholm equations
• Riesz-Schauder equations
• Symmetric integral equations and applications of integral equations in three-dimensional space
• Multi-dimensional spaces
• Vibrating membranes
The text concludes with an extensive selection of exercises, most of which prove theorems that were not covered in previous chapters.
For advanced undergraduates and graduate students studying algebraic linear equations and their applications.