Introduction to Analysis

Rating:
Summary: Extremely unclear
Review: As a math major, I am of course interested in the subject of Real Analysis. But I cannot agree with the other reviews in that the book is very UNACCESSIBLE to undergraduates! I have poured through the first 3 chapters until I almost have them memorized and the concepts are NOT CLEAR. Instead of explaining what is going on, the author rambles on about the "beauty" of his subject and how "we" as students should "carefully" digest the ideas. The examples and proofs are NOT clear and are NOTHING like the HW problems! In fact the proofs are so incomplete, that proving them in the fashion that the author does, does not convince my professor??? This book is a BIG waste of over $100 and a class that I might have enjoyed if the author could see outside of his ego and stop trying to show off to undergraduates who do not know the subject yet!

Rating:
Summary: Excellent
Review: At first glance, the book appears too thin. But once you've delved a few pages into it, you immediately recognize that the author has simply mastered the art of brevity - while remainining eminently readable. The book covers all the material needed for an undergraduate analysis course - and covers it extremely well. The proofs are easy to follow and extremely instructive, so that the book can also be used in a "Bridge to Advanced Mathematics" or "How to do Proofs" that some schools offer to their math majors to ease the transition from problem-based lower-division courses to proof-based upper-division courses.

Rating:
Summary: Excellent Introduction
Review: I believe the author has given students a wonderful text for the beginning of analysis. I disagree with the student who stated that the proofs are unclear. When I took this class last fall, all of the proofs were not clear in the beginning but with a little clarifying by my professor, they quickly became understandable. The problems at the end of the sections are designed to help students fully understand the chapter and while some of the problems require a lot of extra work, they are not impossible. It seems to me if you gave this book a bad review, it was because you were unwilling to put forth the time and effort to fully understand the material. This book was extremely helpful and guided the class in a clear and concise manner.

Rating:
Summary: Excellent Introduction
Review: I believe the author has given students a wonderful text for the beginning of analysis. I disagree with the student who stated that the proofs are unclear. When I took this class last fall, all of the proofs were not clear in the beginning but with a little clarifying by my professor, they quickly became understandable. The problems at the end of the sections are designed to help students fully understand the chapter and while some of the problems require a lot of extra work, they are not impossible. It seems to me if you gave this book a bad review, it was because you were unwilling to put forth the time and effort to fully understand the material. This book was extremely helpful and guided the class in a clear and concise manner.

Rating:
Summary: A Good, Rigorous Introduction to Analysis
Review: I used this book for an undergraduate course in Analysis and was pleased with it. It is well-organized with poignant examples. The physical construction of the book, however, proved not to be as good as the content and it is quite worn.

Rating:
Summary: Great book by Great Guru
Review: In my college days ,i found Edward D gaughan's 'Introduction to Analysis',amidst pile of other books.I read the preface countless times.With his words of encouragement and admonishment ,writer makes you more comfortable ,in your long journey of Mathematics which is real and abstract at once!! I liked this book;After a decade still i fondly remember this book !!I recommend this book whole heartedly, to any one who is sincere in his approach and wants to become first rate mathematician.

Rating:
Summary: A compact and well written book.
Review: The proofs are well structured and easy to follow. The techniques used in the proofs lend themselves for use in other situations. A lot of information is embeded in the exercises which keep the students alert and focused and at the same time saves time and space. A good book for undergraduates in mathematical analysis.