Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering (Applied and Numerical Harmonic Analysis) 2010th Edition

I love this book!

Great book. Fast delivery.

I came upon this book through a Google search related to linear operators on normed vector spaces while working through Rudin's Real and Complex Analysis for a university course. For the same reason that the previous reviewer gave the book only three stars I am giving 5. It is an excellent reference for getting a solid "high level" view of introductory Banach and Hilbert spaces and Fourier series.Working from both Real and Complex Analysis and Principles of Mathematical Analysis it is very easy to fall into a "forest for the trees" type of situation and get easily lost in Rudin's very terse yet very dense proofs. Although as a student of mathematics it is absolutely necessary to tackle analysis at the depth and rigor required of Rudin it is also very, very helpful to gain an broader yet more explicit understanding of the subject (along with its underlying motivation) which this books does excellently!Along with Linear Algebra Done Right and Apostol's Mathematical Analysis, this book has become a go-to reference for me! Can't recommend it enough!

The organization is very good.It covers metric space, Banach and Hilbert Space, Fourier Transform, and Wavelet analysis.Note that it have two entire chapters on L^p and L^2 spaces to show engineering applications.However, the book is not self-contained.Around 1/3 of the proofs are left to reader as "exercise".This is the main reason that I rate this book 3 stars.It has potential to become a standard textbook, if it is more reader-friendly.It is a good book, but NOT for self-study.