Introduction to Analysis

by Maxwell Rosenlicht

Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. Rigorous and carefully presented, the text assumes a year of calculus and features problems at the end of each chapter. 1968 edition.

Genres: Mathematics, Reference, Textbooks, Nonfiction, Academic

256 pages, Paperback

First published January 1, 1970

Reviews

[William Schram · Rating 4 out of 5]

With Introduction to Analysis by Maxwell Rosenlicht, we are introduced to concepts, ideas, and theories that will aid in further mathematical progress. The book presumes that you know Calculus up to Partial Differentiation and Multi-variable Integration. Set Theory and what the little symbols mean is covered in some detail. In terms of mathematics, the symbols have always been my downfall, especially once it starts going Greek.

The book contains problems to solve but does not contain the solutions to those problems. I don’t think that would be too much of an issue, but you never know in some cases. Perhaps nowadays you can go and search for the solution online.

In any case, this book is short but quite concise. Since it is short, it cut out all of the extraneous junk and we are treated to just the basics. According to the Preface of the book, some items on Differential Forms had to be cut to avoid “exorbitant algebraic detours.” I don’t know exactly what that means, but I’ll go with it.

[Tom Ritman-Meer · Rating 4 out of 5]

Good introduction but it's very formal and quite dry. It definitely improved my knowledge a lot, so it has served its purpose.

[Ryan Pennell · Rating 1 out of 5]

The notation is out of date and the book is too brief to be useful. I would only suggest this to someone who is reading for self-study but never for someone who is going to take a Analysis course. This book was near useless to me.

[Merry · Rating 5 out of 5]

I often surprise myself when I read a book out of my normal , how much I enjoy it. I would suggest you give this one a try.

[Bradley Gram-hansen · Rating 4 out of 5]

It is hard to find a good and cheap book for introductory analysis. But I have to admit this book fits the bill. I believe it cost me £8 and it is well written full bodied text.