Andreas Kirsch Book order

Focusing on the theoretical analysis of Maxwell Equations, this book provides a structured introduction to essential techniques, including function spaces for boundary integral and variational equations. Originating from years of lectures, it serves as a resource for designing graduate courses aimed at mathematically inclined students with a background in vector and functional analysis. The text begins with simpler Helmholtz Equations before progressing to Maxwell Equations, featuring examples and exercises to enhance understanding for graduate students, researchers, and engineers in applied mathematics.

Focusing on inverse problems, this graduate-level textbook serves as a comprehensive guide for various applications in geophysical exploration, system identification, and more. It delves into the challenges of ill-posed problems and explores regularization methods through analytical and numerical examples. The text covers three specific nonlinear inverse problems in depth, examining their direct counterparts concerning existence and uniqueness. Additionally, it offers theoretical insights and practical numerical procedures, enriched with exercises and illustrations to support mathematics and engineering coursework.