To get the free app, enter your mobile phone number.
The Way of Analysis First Edition Edition
Use the Amazon App to scan ISBNs and compare prices.
Customers Who Bought This Item Also Bought
Top Customer Reviews
I've used this book along with Kolmogorov's for about a term and a half now in my classical analysis class. As an example of the difference between them, consider their coverage of the implicit function theorem, one of the most fundamental theorems of behind the study of surfaces. Strichartz devoted two sections to this theorem, explaining what it was, what it's motivation was, and even how the proof related to the Newton's Method of First-Year Calculus. I came away from the text feeling I actually understood what the theorem meant and how it fit into the rest of Analysis.
Kolmogorov left it as an exercise to the reader.
This is the kind of textbook you can bring with you on a car trip and easily study along the way. It takes an informal writing style and from the beginning is focused on making sure you, as the reader, understand not just the theorems and proofs, but the concepts of real analysis as well. Every new idea is given not only with a What or a How, but with a Why as well, preparing the reader to ask themselves the same questions as they progress further.
This is not to say the book is without rigor though. The theorems and the proofs are still there, just enriched by the other material contained within the book, and anyone mastering this book will be well prepared for future analysis courses, both mathematically and in their way of thinking about the subject.
The format of the book is more disorganized than the standard texts like Rudin, but makes it more likely that it will be read and thoroughly digested, instead of sitting on the shelf. That said, one will probably never want to look at the book again after one has learned the material. If one does so, like I did, one will gasp in horror at the lack of conciseness, brevity, etc., and then rewrite one's Amazon review, like I am.
While trying to do the homeworks, I noticed that because not every result was made into a lemma or theorem, this made it somewhat difficult in finding the necessary info; however, the bulk of the definitions and theorems are listed in the chapter summaries.
The proofs in the book are fairly standard and repetitive. If you want to see cleverness that makes one gasp, see Rudin.
The main issue that divides most readers is one of style, should mathematics books be succinct and clean or should they contain some "entertainment" as well? Should there be some extra explanation or not.
As a student, the answer to this question can be given easily: The more explanation, the better. Just as the title suggests, the author leads you to understand analysis, to understand how things fit together, why certain things need to be proved and why other things are obvious.
If a book just states theorems and proofs, it is unclear to me how that makes you better at mathematics because the question is, could you have thought of these proofs yourself? Given the theorems, can you come up with the proofs? Do you have a feeling for what's going on?
After reading Strichartz you might not remember all the proofs but given any theorem, one should be able to reconstruct the proof from the understanding of the material. One should have a feeling for the concepts and that is something NO OTHER ANALYSIS BOOK seeks to develop.
Also, Strichartz lays things out in a very natural way, not a single topic just comes out of nowhere. There is a flow to the text.
Overall assessment: I love this book, made me get an A+ in the analysis, which I had already given up on, thought I would never get it...
Most Recent Customer Reviews
Kind of terse but still very clear. It's of the style "less notation more words", so it feels like a tutor. Read morePublished 6 months ago by changyau
This class was rough, but this book helped in learning a first course in analysisPublished 14 months ago by M
This book has step-by-step proofs that are easy to follow. I really love this book. It is probably one of the best math textbook I have read so far in my undergrad math major.Published on March 3, 2014 by Tai Nguyen
After 14 years, I decided to read the book again, just in case I remembered and understood the concepts from my class in real analysis at Cornell. Read morePublished on November 14, 2013 by Wayne Lee
It explains a lot of the motivation of why we are studying something, and it helps you grasp the idea intuitively. Read more
Although I found some of the notation to be different from what I am used to seeing, it is equivalent and easy to comprehend. Read morePublished on May 12, 2013 by Michael R. La Martina
Let me preface my review by conceding that I have read only the first 30% of this 726-page book.
I have an engineering degree from a high-level university. Read more