Foundations of Analysis (Pure and Applied Undergraduate Texts: Sally, 18)

I used this book for an undergraduate course in Analysis. I was able to get an ok understanding of most of the topics presented in this book, but I needed to use other resources to get a better picture of what was really going on. The book has very little when it comes to examples and visualizations, which would be beneficial to students learning the subject for the first time. The text does a poor job of creating a reason to need different theorems, and instead directly states things such as "This is important for integrals". There was quite a few typos found in the text, but they did not hinder the reading too much.I will say that the proofs done for the theorems that are provided are solid, and are very straight forward most of the time, as with the theorems themselves. This book is better as a "collection of theorems to be used for reference" rather than a good way to understand the subject with confidence.

Honestly the worst written textbook I've ever had to buy. Very few written examples, only brief explanations of concepts... Each chapter section is like 2 pages long. Thank god I had an amazing teacher.

Clear proofs and the languages used are much more accessible to non-mathematic majors. But it might be too easy for people want to perfect their skills in analysis.

Book was so new the spine was still stiff. Thank you!

It has a couple of typos (mainly concerning proper notation especially for an introductory course ), but it's a really great book. I've loved going through it.

about as readable as chinese

Required textbook for 2 courses needed for a math degree (written by a former prof. at the University). This book is unpopular all around. The mathematical definitions are often expressed in colloquial terms meant to facilitate understanding—but this ultimately leads to imprecise definitions leaving questions about the pure mathematical definition. It’s intended for upper division math classes; it’s reasonable to suppose the reader is familiar with the proper mathematical symbols necessary for the definitions. To echo another review, in a book of nearly 400 pages, there’s only a mere handful of diagrams. It’s not that the concepts are not well expressed using diagrams either, as the professors use their own frequently to teach the material. You’re basically reading a lot of text that’s formatted in the most boring way possible several times. To add insult to injury, Taylor will often omit examples that would have been quite instructive with the remark that it’s easy to do or left as an exercise. Ultimately, this is the most painful textbook I’ve used. Haha but importantly there are few to no true mathematical errors so that’s a plus!

This textbook does a fair enough job to teach this class. When it was offered as a free download from Joesph Taylor's website ([...]) it totally lived up to expectations. As a $60 textbook, I would have to say that it's not worth the money. This book has a distinct lack of pictures, which in my opinion would have greatly improved it and the class. I spend many hours with my professor in and out of class having him simply draw what the book had only described.Pros: Decent textbook. Tackles a difficult subject.Cons: Overpriced. Pretty much no pictures. Maybe worth $20, but not $60