Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

This book provides an elementary, accessible introduction to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and efficient methods of constructing solutions or satisfactory approximations. The author motivates the mathematical theory by introducing useful technical or physical examples and presents special remarks for mathematical readers that demonstrate the possibility of generalizing the results obtained. For non-mathematicians, the author provides functional-analytical results without proofs and refers readers to the literature for further details. Numerous exercises complement each chapter.