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Real Analysis and Foundations
The first three editions of this popular textbook attracted
a loyal readership and widespread use. Students find the book to be concise, accessible, and
complete. Instructors find the book to be clear, authoritative, and dependable.
The goal of this new edition is to make real analysis relevant and accessible
to a broad audience of students with diverse backgrounds. Real analysis
is a basic tool for all mathematical scientists, ranging from mathematicians to physicists to
engineers to researchers in the medical profession. This text aims to be the
generational touchstone for the subject and the go-to text for developing young
scientists.
In this new edition we endeavor to make the book accessible to a broader
audience. This edition includes more explanation, more elementary examples,
and the author stepladders the exercises. Figures are updated and clarified. We make
the sections more concise, and omit overly technical details.
We have updated and augmented the multivariable material in order to bring out
the geometric nature of the topic. The figures are thus enhanced and fleshed out.
Features
A renewed enthusiasm for the topic comes through in a revised presentation
A new organization removes some advanced topics and retains related ones
Exercises are more tiered, offering a more accessible course
Key sections are revised for more brevity
a loyal readership and widespread use. Students find the book to be concise, accessible, and
complete. Instructors find the book to be clear, authoritative, and dependable.
The goal of this new edition is to make real analysis relevant and accessible
to a broad audience of students with diverse backgrounds. Real analysis
is a basic tool for all mathematical scientists, ranging from mathematicians to physicists to
engineers to researchers in the medical profession. This text aims to be the
generational touchstone for the subject and the go-to text for developing young
scientists.
In this new edition we endeavor to make the book accessible to a broader
audience. This edition includes more explanation, more elementary examples,
and the author stepladders the exercises. Figures are updated and clarified. We make
the sections more concise, and omit overly technical details.
We have updated and augmented the multivariable material in order to bring out
the geometric nature of the topic. The figures are thus enhanced and fleshed out.
Features
A renewed enthusiasm for the topic comes through in a revised presentation
A new organization removes some advanced topics and retains related ones
Exercises are more tiered, offering a more accessible course
Key sections are revised for more brevity
408 pages, Hardcover
First published June 13, 2013
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30 people want to read
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Displaying 1 - 3 of 3 reviews
January 22, 2016
Krantz said he purposely made the book '[as hard as real analysis was years or decades ago,]' and it is at least twice the size of my other Real Analysis book, but Krantz's is not impossible if one studies & focuses: I even got a B+ and B in parts 1 and 2 of 3 of a class that uses it, though I needed a B+ to continue.
February 20, 2017
Easy to understand and great examples to work.
October 16, 2025
Great book. Very well explained, with good drawings to help the student understand abstract concepts.
I would recommend it if it’s your first time studying Analysis.
I would recommend it if it’s your first time studying Analysis.
Displaying 1 - 3 of 3 reviews