This course text, now updated to include an engineering readership, fills a gap for first year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. The first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, the book introduces interval analysis into the mainstream of computational functional analysis, and includes and discusses the elegant techniques for reproducing kernel Hilbert spaces. There is discussion of a successful "hybrid" method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. Numerical worked examples help the reader to apply the methods. 100 problem-exercises, answers, and tutorial hints, help students to discover the relevance of the theory, reflecting the authors' successful teaching philosophy.
