Ricardo Estrada Livres

Focusing on singular integral equations, this work explores their distributional solutions and the rich mathematical concepts involved. These equations, characterized by singular kernels or infinite limits, have applications across various scientific fields, including potential theory, mechanics, fluid dynamics, and wave scattering. The book delves into specific types of singular integral equations, such as the Abel and Cauchy types, highlighting their significance and the underlying mathematical intricacies necessary for solving them.

Focusing on asymptotic analysis, this book serves as a modern introduction suitable for mathematicians, physicists, engineers, and graduate students. Written by leading experts, it combines theoretical foundations with practical applications across diverse fields such as differential equations and quantum mechanics. The revised second edition includes a new chapter, expanded topics on distributions, and extensive examples and exercises, making it a valuable resource for both classroom use and self-study.

This book offers a modern introduction to asymptotic analysis for mathematicians, physicists, engineers, and graduate students. Written by leading experts, it covers a wide range of topics, includes new chapters, and provides extensive examples and exercises, making it a valuable resource for both classroom use and self-study.