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For $[...] you will get an unbelievably clear explanation of metric spaces, continuous functions, differentiation and Riemann integration. This text is a tremendous accompaniment to Baby Rudin (this book along with Apostol's Mathematical Analysis (buy it used) will take you over the hump in a real analysis class using Rudin). Also, Rosenlicht taught at a time when real analysis was presented using diagrams - a pedagogical tool that has fallen out of some favor. While not numerous, the diagrams presented are very helpful in describing the concept (e.g., connectivity, the nested set property...). I found these to be invaluable. The writing is clear and the proofs are straightforward. The extremely useful information in this book will set you back around 6 cents per page - do the math on some other texts and you will see what a bargain this book is.
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From the Publisher
A Clear, Rigorous Introduction to Real Analysis
- Builds a Strong Analytical Foundation – Covers set theory, metric spaces, limits, continuity, and integration with clarity and precision.
- Accessible Yet Rigorous – Designed for upper-level undergraduates in mathematics or related disciplines; assumes one year of calculus.
- Ideal for Academic and Applied Fields – Prepares students for advanced study in math, engineering, theoretical computing, and data science.
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Customers say
Customers find the book well-written and concise, serving as a great introduction to analysis, with one customer noting how it helps understand the connection between analysis and topology. The content receives positive feedback, with one customer mentioning it serves as a good companion to Baby Rudin. While some customers find it easy to understand, others say it's too hard to read.
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14 customers mention content, 12 positive, 2 negative
...of the math faculty at Berkeley and they described it as "a good book, if a little too dry". There are things to like about this book....Read more
Great little book.Read more
...I somehow managed to make it through with excellent grades without ever truly understanding what was going on....Read more
...course is complete without Rudin, but Rosenlicht's book serves as a good companion....Read more
13 customers mention clarity, 10 positive, 3 negative
...someone who has taken courses in analysis and topology, this book helped me very much....Read more
Very clear instruction. I ordered this but decided to take the more advanced section of a mathematical analysis class....Read more
Very helpful on going over the basics through analysis....Read more
...The proof made no sense. I looked at my original hard cover copy. The E-book had omitted the key equation that served as the key premise of the proof!Read more
8 customers mention writing style, 7 positive, 1 negative
Great for learning introductory analysis. The book is concise and thorough, the proofs given are clear and easy to follow.Read more
...Understanding Analysis, by Steve Abbot, an EXCELLENT, well written, leisurely read one of the more classical e.g. Beck....Read more
...I found these to be invaluable. The writing is clear and the proofs are straightforward....Read more
Clear, concise, superb!Read more
9 customers mention readability, 6 positive, 3 negative
...This book is very accessible....Read more
...The printing, however, is nearly unreadable. It is way too small, filling only 2/3 of the page, and is slightly blurry....Read more
...The actual print of the book is nothing like that, and it reads well.Read more
very good and easy to understand!Read more
Great read
Very helpful on going over the basics through analysis. Online pdfs of this book can be found on the depths of the internet, but they are all very bad quality. The actual print of the book is nothing like that, and it reads well.
Top reviews from the United States
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- Reviewed in the United States on November 5, 2022Format: PaperbackVerified Purchase Very helpful on going over the basics through analysis. Online pdfs of this book can be found on the depths of the internet, but they are all very bad quality. The actual print of the book is nothing like that, and it reads well.
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Top reviews from other countries
- MdsReviewed in France on May 27, 2021
excellente introduction à l analyse
Format: PaperbackVerified Purchase - alexanderReviewed in the Netherlands on October 26, 2021
outdated, unclear
Format: PaperbackVerified Purchase -
- Mr. T. Ritman-MeerReviewed in the United Kingdom on January 17, 2018
Five Stars
Format: PaperbackVerified Purchase
