This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, 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. The authors successful teaching philosophy: ''We learn by doing'' is reflected throughout the book.
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Ramon E. Moore, Ohio State University, USA.
Michael J. Cloud, Lawrence Technological University, USA.
Reviews For the First Edition:
SIAM Review, USA : "...this book provides a stimulating and challenging introduction to the functional analytical tools involved in computation." (William W. Hager, Pennsylvania State University.
The Mathematical Gazette , UK: "A very readable introduction... excellent." (Dr. Max Planitz, Thames Polytechnic, London)
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