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Pros & Cons
pros
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Proof Elegance
Customers highly praise the elegance and brevity of the proofs in Principles of Mathematical Analysis, which they believe is essential for deep understanding and mastery of advanced calculus concepts. However, some find the lack of detailed explanations initially challenging but ultimately rewarding.
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Undergraduate Introduction
The first eight chapters of Principles of Mathematical Analysis provide a comprehensive undergraduate introduction to Real Analysis. Some readers find it challenging but essential for advanced mathematics study. The book covers various topics including power series, differential forms, and measure and Lebesgue integration. Despite its challenging nature, the text is highly regarded due to its rigorous approach and extensive problem collection.
Abstract Setting
Customers have mixed opinions about the abstract setting aspect of the book, with some praising its importance for future studies and others expressing disappointment over the physical quality of the book. While some find the abstract setting valuable for deepening their understanding of analysis, others are frustrated by the lack of a satisfactory cover quality and high price.
Topological Notions
Customers have mixed opinions about the use of topological notions in Principles of Mathematical Analysis. Some find it leads to deeper insights, while others argue that prior exposure to other techniques is necessary for full understanding. The book covers the minimum of topology and some customers suggest alternative texts for self-study.
Highlights
Quality
Content: as many reviewers have already noted, pma is simply the best out there in terms of clear, concise mathematical exposit... Read More
In a typical advanced calulus book like spivak, the reader learns how to manipulate epsilons and deltas, and everything about e... Read More
Besides the terseness, rudin's outlines of these topics do not provide the reader with their full mathematical machinery, leavi... Read More
There is a review for this book talking about how poor the quality of this printing is and how cheap and translucent the pages ... Read More
Competitiveness
Compare this to the proof given in rudin using topological tools.
However, i will agree that the price is insane, but i did not want an international version and this book is difficult to find ... Read More
Overview
- How are reviewers describing this item?
real, first, proof and many. - Our engine has profiled the reviewer patterns and has determined that there is minimal deception involved.
- Our engine has determined that the review content quality is high and informative.
- Our engine has detected that Amazon has altered, modified or removed reviews from this listing. We approximate total reviews altered up to 41.
- Our engine has discovered that over 90% high quality reviews are present.
- This product had a total of 368 reviews as of our last analysis date on Feb 28 2025.
Helpful InsightsBETA
Posted by a reviewer on Amazon
A majority of students in the course came in with a working knowledge of proof writing through high school mathematical olympiads upper division college classes elsewhere or both
Posted by a reviewer on Amazon
Although the professor tom coates now of imperial college london was an excellent lecturer and was very helpful and patient students without a background like this 34mathematical maturity34 were generally left in the dust
Posted by a reviewer on Amazon
Those of us who persisted in the course after the first few weeks found ourselves spending 15 to 20 hours a week working problems assigned from pma or written by prof
Posted by a reviewer on Amazon
Problems in pma ranged simple verifications taking maybe five minutes of thought to problems barely within the grasp of the smartest students in the class taking many hours of struggle spread out over a few days
Posted by a reviewer on Amazon
Having browsed through copies of the first 1953 and second edition 1964 its clear that the author 34perfected34 an already very well written text in this third edition 1976 and said 34thats it34 to greedy textbook publishers wishing to make money off of newer editions
Posted by a reviewer on Amazon
Other than correcting some typos this text has remained the same for four decades and will remain so with dr
Posted by a reviewer on Amazon
Heres a brief overview of topics covered
Posted by a reviewer on Amazon
Chapter 1 introduces the real number system the most important concept being the least upper bound property of the real numbers
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