Real Analysis: A First Course (2nd Edition)

Rating:
Summary: Fantastic introduction to analysis
Review: I am using another author's --Strichartz-- garbage text for an analysis course at Cornell. I saw this book at a local B&N near my home, and I immediately saw how superior it was to Strichartz's. This book keeps the beginner of analysis in mind, and the proofs of theorems are sharp and to the point. Plenty of exercises and problems to reinforce the material. The text includes a nice introduction to point-set topology and metric spaces. A++

Rating:
Summary: Fantastic introduction to analysis
Review: I am using another author's --Strichartz-- garbage text for an analysis course at Cornell. I saw this book at a local B&N near my home, and I immediately saw how superior it was to Strichartz's. This book keeps the beginner of analysis in mind, and the proofs of theorems are sharp and to the point. Plenty of exercises and problems to reinforce the material. The text includes a nice introduction to point-set topology and metric spaces. A++

Rating:
Summary: Real Analysis: A First Course in How to Think
Review: Taking a course in Real Analysis from the author himself (Russell Gordon, Whitman College) is quite an experience, especially when the man's grading style is described as, "Take no prisoners." However, the book, like the author, is excellent and thoroughly challenges the intellect. Essentially a proof of calculus, the work details the majority of the theorems first-year calculus students are told just to accept and not question. After a grueling semester, one should feel confident about pursuing further studies in mathematics, as the text presents these (dare I say) "elementary" concepts in a clear, organized fashion. I only have one quibble: there should be a sticker on the cover that reads, "WARNING: Thinking Required," just in case the title itself didn't clue you in.

Rating:
Summary: Real Analysis: A First Course in How to Think
Review: Taking a course in Real Analysis from the author himself(Russell Gordon, Whitman College) is quite an experience,especially when the man's grading style is described as, "Take no prisoners." However, the book, like the author, is excellent and thoroughly challenges the intellect. Essentially a proof of calculus, the work details the majority of the theorems first-year calculus students are told just to accept and not question. After a grueling semester, one should feel confident about pursuing further studies in mathematics, as the text presents these (dare I say) "elementary" concepts in a clear, organized fashion. I only have one quibble: there should be a sticker on the cover that reads, "WARNING: Thinking Required," just in case the title itself didn't clue you in.

Rating:
Summary: A great 1-term-undergraduate text in Analysis
Review: This book is a great introduction of the elements of real analysis. However the book chooses some awkward notation at times and skips pertinant depth where needed. My advice is to use as a supplement to a deeper text in analyis such as Maxwell Rosenlicht's, "An introduction to Analyis," Fitzpatrick's, "Advanced Calculus," or the very terse Walter Rudin, "An Introduction to Mathematical Analyis." The book concludes before addressing multivariate analysis and leaves much needed topological aspect to the very end, this is why I recommend the book as a first-term undergraduate text in analyis in conjuction with my recommendation of Rosenlicht's text. Although, altogether very readable.