Linear Operator Theory in Engineering and Science (Applied Mathematical Sciences, Vol 40)

Rating:
Summary: An eminently readable functional analysis book
Review: An eminently readable functional analysis book including an appendix on measure theory and probability spaces. The text covers the material without explicit development of the Lebesgue integral. The notation and typesetting are very clean and the section on spectral analysis is unusually good. The proofs are very clean and complete with numerous illustrative engineering examples and diagrams. I recommend this book for graduate level engineering students.

Rating:
Summary: Excellent applied functional analysis text
Review: This is a great book for the applied mathematician, scientist, or engineer who wants an applicable and not overly formal introduction to functional analysis. Many examples illustrating the use of the techniques are given throughout. The text is quite readable, with a unique organization introducing algebraic, topological, and combined algebraic-topological structures and their associated theory. The book presents functional analysis without explicitly relying on the Lebesgue integral, although a well-written appendix covers Lebesgue integration and some related concepts from real variable theory. I would have appreciated more discussion of differential equations, but overall this is a very well-written book and a worthy purchase.

Rating:
Summary: Excellent applied functional analysis text
Review: This is a great book for the applied mathematician, scientist, or engineer who wants an applicable and not overly formal introduction to functional analysis. Many examples illustrating the use of the techniques are given throughout. The text is quite readable, with a unique organization introducing algebraic, topological, and combined algebraic-topological structures and their associated theory. The book presents functional analysis without explicitly relying on the Lebesgue integral, although a well-written appendix covers Lebesgue integration and some related concepts from real variable theory. I would have appreciated more discussion of differential equations, but overall this is a very well-written book and a worthy purchase.