Asymptotic Methods in Analysis

Rating:
Summary: Knuth calls this a beautiful book.
Review: Asymptotic methods in analysis is great book. I came to know about this book while reading TAOCP vol 1. As Knuth says this is a truly beautiful book on the subject.

Rating:
Summary: A Classic
Review: This is a Classic introduction to Asymptotics. Its main strength, is the illustration of techniques through the detailed working out of examples. In addition, there is FULL rigour, so that the proofs are complete.

To study this book you should be comfortable with:

a) Undergraduate Level Real Analysis. b) Elementary Notions from Complex Variable Theory including Complex Integration, Calculus of Residues, Power Series Expansions and related ideas.

Rating:
Summary: A novice review
Review: This will be an alternative review since I lack the complete knowledge foundation required by the book, yet I've purchased it knowing so in advance.

This is simply an elegantly written book in terms of language use. The book is designed with a language use; the way i prefer to write swedish text, no matter the subject at hand.

Also parsing arbitrarly there are some references to other russians work. As far as I can evaluate by glimpse and rudimentary mathematical knowledge there is proof and definition driven reasoning which is a must in mathematics in order to be of great use for the reader at hand.

Also for a novice like myself the extensive and clear, instant writing about necessary mathematical methods, functions and so on to solve the problems developed, functions in use give back great insight value; The art of thinking of how go about solving the issues at hand.

I think one would feel confident in reading this as one go by reading mathematical/Physics courses at University (if you do/did). This mean that for me the reading would be limited to pieces of reading as one grow with required knowledge.

10-20 points in mathematical analysis and additional introduction course in functions of complex variables would suffice (of course this is an estimation).