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16. Aug 2016
Great introductory text
The preface says that this book is intended for both math majors and also people in physics, engineering, and other sciences. Usually that is a difficult goal to meet, but after working through ~100pages of this book, I see that this book maintains the formal rigor of pure math and yet presents the material in a self-contained manner that enables me (with a physics and engineering background) to follow the theorems and proofs with no difficulty. It is even possible to say that this book doesn't even require the reader to know calculus and linear algebra, since it builds up the axiomatic framework of functional analysis, but of course prior knowledge of calculus and linear algebra are very useful to understand the motivation and recurring proof techniques in the book.