A Complete Solution Guide to Principles of Mathematical Analysis

If a student is looking for a solution of a particular problem, then fine, he/she looks at a given problem number and voila. While someone wants to study starting with the problems (why not, the Moore's method!) he/she needs to have the Principles at hand. Simply, the contents of the problems are not given, albeit it would make the book even thicker! For me, personally, it does not matter, I prepare my own solutions, so it is irrelevant.A good feature of this book is that the solutions of the problems from the second part of Principles (Multivariate Analysis) are thoroughly discussed as this part of the original text is very terse and it is difficult to lecture using this second part. In this regard, A Complete Solution Guide may serve almost as an independent textbook by itself.I did not delve yet into details of the solutions, this text is a reference source for me, but it seems thoroughly written and precise. The interested readers have solutions given on silver plates! The author took his job seriously and, in my opinion, did a good job. For years, I was using M. Spivak's book, Analysis on Manifolds which was more digestible for students. Also, the author of the reviewed Solution Guide was forced to face this legendary, cult book by Rudin. In my opinion, he did a very good job.

Extremely helpful to read and look at to cross check ideas of proofs. It is also quite useful for ensuring that when you do get stuck, that you do not end up spending a month searching endlessly online for the solution to one difficult problem that might not be consistent.It is an amazing tool to have alongside Baby Rudin and I do hope that you write more solution guides to other commonly referred to texts out there.You are doing God's work by writing these. I have no doubt that this solution guide will be of great use to others.My one suggestion however, is to include a "tips" section in which a student can refer to get a new idea without seeing the full solution.Onto quality of the book. It is well made. Appears to be that this book has only been published for a few months. Considering that my copy of the book was made literally the day before I received it (I know because of the stamp "Made in the USA on April 29th". The quality of the book is superb, and is much better than other book publishing companies out there.

Whether or not you've been in a class with "Baby Rudin" as your text, any graduate or career mathematician likely has faced a question or two that still itches at the back of the mind, a question still waiting for that satisfying solution, still wondering if there's an easier way to tackle that one hard one that was on your final, still wondering if the Differentail Forms and the Lebesgue Theory sections are worth tackling (the respective answers are "probably" and "no," respectively).All of this and more can be found just by perusing A Complete Solution Guide, which delivers as advertised in the same sense Nolan Ryan delivered strikes. This is easily my favorite self-published math text of recent times, and this includes the recent English re-release of the long lost first half of Cartan's Differential Forms text (the second half of which is infamously still printed by Dover). The thoroughness is worth the price of admission alone.There are two complaints that I have that are not specific to the text of his book: first, a minor one, is that the text of the problems are not included with the number. I can see the need for this, specifically if the author is respecting the text, but this makes problems difficult to reference, especially with the addition of adjunct theorems, etc. placed by the author in the solutions. Having at least some kind of marker between solutions - especially in the last chapters - would help the reader stay in line with the part of the text intended. Authors like Shakarchi penned in the questions themselves with his solution guides to Lang's older Linear Algebra, Real Analysis and Complex Analysis texts, and doing so did not compromise the integrity of the original text in any way as far as I know, though copyright law may say otherwise.Lastly, some of the problems may have answers that run on too long. I use the word "may" as a qualifier for several reasons: first, I do not want to embarrass myself by giving an example of how to do one shorter in a public space, of course, and second, just because one can do a problem shorter doesn't mean that it is the thorough answer another reader may crave (or that the text deserves).Grammar aside, I can talk about the errors made by the author so far: they are few and far between, and having gone through (admittedly lightly at the time of this review) the first seven chapters, I have not found anything that is glaringly misleading.It may make you work - but even in an answer key, Rudin is like that.As an aside, the author is responsive and appreciates any feedback, including and ESPECIALLY criticism. I had the pleasure of contacting him just prior to my summer vacation and expressed to him my hopes to see "Mama and Papa Rudin" keyed at long last as well; I am stumbling with self-doubt with whether to help contribute to any direction he wishes to take on these, but nevertheless, I hope for future installments!

I believe this is the best solution book or materials for Rudin’s PMA I’ve even seen. Firstly, the book is not only rigorous and concise, but also well written and easy to learn and study from. Secondly, proofs are very detailed for all of the problems in PMA. They are excellent and I think you would definitely be aided in the understanding of the theorems and theories of PMA by this guide. Thirdly, the style of the book is good looking and there are many figures to explain some important or nontrivial concepts.If you have spent much time on searching Rudin’s solutions on web, I would suggest you can stop now and save your time from purchasing this book immediately. I think you won’t be disappointed with it!

This is a very excellent and helpful solution book to the classical textbook "Principles of Mathematical Analysis". The explanations are extremely clear and nice. l would like to recommend this book to everyone who love analysis.

Solution Problem 1.1. On the page 1 we can see x = ( x + r ) - x. How is it possible? Must be x = ( x + r ) - r !Two lines down similar mistake, equation x = rx/x is wrong! Must be x = rx/r .BTW Roger Cooke "Solution Manual" has correct solution. ERRATA on author's web site does not fix these problems. Digital Kindle ebook contains same errors too.

Very helpful to me. I've tried to solve first by myself some of the harder questions. The solutions I checked have always been detailed, insightful and helpful. I hope the author will publish a solution book to "Real and Complex Analysis" soon.