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Elementary Analysis: The Theory of Calculus 1st Edition
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Top Customer Reviews
It is mathematically rigourous, yet develops the major concepts of analysis in a leisurely (in the good sense of the word) way with interesting and sometimes unusual examples.
Beginners will especially appreciate the quality exercises and the solution guide in the back.
The style of this book is a bit similar to Spivak's *Calculus* in that the author is a bit wordy. I find Ross' presentation more direct and less pretentious than Spivak--and far less intimidating.
This is definitely the best introductory analysis book I know of for self-study. A student who masters the material in this book will be well prepared to tackle Rudin and other classic works in real analysis.
I didn't have that experience with this book. This book is well written and easy to understand (given its subject). Highly recommended for anyone learning Advanced Calculus 1 for the first time.
While Ross assumes a working knowledge of calculus and basic proof-writing skills, he does NOT assume the reader has encountered too many of the results before. Thus, he includes numerous examples and exercises to familiarize the reader the definitions. The theorems aren't proven in the simplest way possible, but rather in a more intuitive way with few gaps. Sure, the proofs would be a lot shorter if he used some basic results from topology, but that would be a bit distracting for someone who wasn't very familiar with the material or with proof-writing in general.
In summary, this is an excellent introductory book for newcomers to analysis. If you learned calculus from Stewart, go here first. If you learned calculus from Apostol or Courant, this is a good companion to Rudin.
Most Recent Customer Reviews
My analysis class used Rudin's book but my TA recommended this as a read along text and I can definitely say it was much clearer for explaining concepts than Rudin. Read morePublished 4 months ago by Chris G
As other reviewer said, it start very nice, then it gets harder later.
At the earlier chapters, it has very clear examples with a lot of examples. Read more
While the study of real analysis is indispensable for a prospective student of pure or applied mathematics, a cognitive approach to understanding proofs at a medium level of... Read morePublished 14 months ago by R136a1
I am using this book for my first mathematical (real) analysis class, and having a good time with this book. Read morePublished 17 months ago by Abraham Ruiz