Introduction to Analysis

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.

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.

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.

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.

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.