Analysis: With an Introduction to Proof

amazing condition. easy to follow text and apply concepts. crystal clear directions, great for a student just starting off and with no previous knowledge of the subject.

I have the third edition, which I purchased for self study after I ran into trouble in Kolmogorov and Fomin, Introductory Real Analysis, which I had purchased after I ran into trouble with the topology and real analysis assumed by O'Neill in Elementary Differential Geometry. The advantages of Lay's book are described very well in the editorial reviews above. The book is very clear in both layout and prose. The author anticipates questions and explains the reasons for strategems used in proofs. The logical connections among such concepts as open and closed, complete, compact, continuity, metric spaces, and topology are presented clearly. I am enjoying Lay's book and I anticipate that I will soon be resuming study in differential geometry.

This is a very good book for someone to look at before going into an analysis class with Rudin. If you have never done proofs or seen metric spaces or uniform continuity, etc., this is a nice, but brief, intro. This book will NOT teach you analysis - you have to use Rudin for that. But it is great for acquainting/preparing you for Rudin.

Analysis at this level is probably the most challenging class for an undergraduate degree. However, this book made it very manageable. I found the introduction to proof very helpful. I encourage anyone who is using this book to study this chapter ahead of time. It will make the subsequent chapters a lot easier to handle. If it was not for this book and the outsdanting professor I had, I would never have passed this class. Go for it!

The book arrived in good condition and I have not had any problems with it.