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Basic Analysis: Introduction to Real Analysis
A newer edition of this book (ISBN 1530256747) is available. A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces. Originally developed to teach Math 444 at University of Illinois at Urbana-Champaign and later enhanced for Math 521 at University of Wisconsin-Madison. See
- GenresMathematicsTextbooks
244 pages, Paperback
First published December 16, 2014
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Displaying 1 - 5 of 5 reviews
December 9, 2023
8 December 2023
4 stars!
*Technically finished up to Section 4.2 (Mean Value Theorem)*
Okay, for a textbook, this wasn't that bad. No real review since it is just a textbook for college. It's not the best real analysis textbook (or so I've been told by my professor), but for one that's available for free online, it's not that bad. . . .
Anyway, it wasn't bad. The end. XD
4 stars!
~~~~~
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4 stars!
*Technically finished up to Section 4.2 (Mean Value Theorem)*
Okay, for a textbook, this wasn't that bad. No real review since it is just a textbook for college. It's not the best real analysis textbook (or so I've been told by my professor), but for one that's available for free online, it's not that bad. . . .
Anyway, it wasn't bad. The end. XD
4 stars!
~~~~~
Want more bookish stuff?
・ Comment below to discuss this book more. I'd love to hear what you think!
・ Send me a message to discuss anything — bookish and nonbookish!
・ Join Book Nerds Unite to chat with fellow book nerds!!
・ Like this review, and follow me for more reviews.
・ Subscribe to my blog, Adventures with Asia Minor! https://www.adventureswithasiaminor.com/
・ Follow my bookstagram, @asia.booknerd117!
Happy Reading!
March 18, 2018
I have chosen this textbook for the undergraduate real analysis course I am teaching, and I think it is wonderful. Some notes:
The text layout is simple, clear, and concise.
The exercises vary in difficulty from testing a student's understanding of a definition to testing a student's understanding of difficult proofs.
Until the later chapters, the author has chosen to do everything in R. This diminishes the impact of some important results (e.g. the Bolzano–Weierstrass theorem), but overall makes concepts much simpler for students to understand.
The text layout is simple, clear, and concise.
The exercises vary in difficulty from testing a student's understanding of a definition to testing a student's understanding of difficult proofs.
Until the later chapters, the author has chosen to do everything in R. This diminishes the impact of some important results (e.g. the Bolzano–Weierstrass theorem), but overall makes concepts much simpler for students to understand.
December 5, 2023
It’s free.
Great exercises
Great exercises
December 18, 2023
i actually only read up until metric spaces but i deserve to log this as read
Displaying 1 - 5 of 5 reviews