Advanced Calculus: A Course in Mathematical Analysis

by Patrick M. Fitzpatrick

Book Overview

Advanced Calculus is designed for the two-semester course on functions of one and several variables. The text provides a rigorous treatment of the fundamental concepts of mathematical analysis, yet it... This description may be from another edition of this product.

• Format: Paperback
• Language: English
• ISBN: 0534926126
• ISBN13: 9780534926120
• Release Date: January 1995
• Publisher: Thomson Brooks/Cole
• Length: 576 Pages
• Weight: 2.40 lbs.
• Dimensions: 1.1" x 7.6" x 9.6"

Customer Reviews

A good mathematical analysis book for beginners

I have used this as a textbook several times. Fitzpatrick's book is very clear and well written. The progression is rather gentle. This is especially important for many students struggle with mathematical analysis the first time around. I only wish Fitzpatrick had included more problems, especially more challenging problems.

Good for streamlined Intro to Multivariable Analysis

Background: B.S. Econ, B.S. Math, Master's Econ classwork, starting Ph.D. Econ Fall 2004. Took undergrad metric spaces and single-var analysis and some graduate real analysis in the past.Sat in on a quarter of undergrad Multivariable Analysis (a previous offering of the same class was cancelled last year before I graduated with the math degree). This book was the assigned text. I did all the class homework. The class covered the Differential part of the multivariable chapters, not the integral part, but skipped the metric spaces chapter.I liked the book despite its several but ususally easily discernable typos. It covered the Multivariable stuff in Rn efficiently for me as an introduction. I can envision many uses in math and econ for the material and approaches used in the book. Now I'll go on to other texts that cover the same material and more but with a higher level of mathematical sophistication (like the Dover published, C.H. Edwards, Calc of Several Variables book they tried two years ago). Also, I'll return to some Optimization texts to get more out of them. In order to get the most out of the multivar part of the book, you definitely need to have good comfort with concepts and proof techniques used in Single-var analysis and in basic set theory.

People! Advanced calculus is not calculus!

I can tell why many people dislike this book. Please, this is not an introductory calculus book. See the title! It says "Advanced" calculus! Advanced calculus is supposed to engage in rigorous arguments of theorems and their proofs. And the author did a great job, I tell you. Not many examples? Come on, you are supposed to have seen lots of examples in your earlier calculus classes! Let me tell you: It's not that this book is bad; most people just hate rigorous mathematical arguments as soon as they start seeing them in their advanced calculus text books. That's all. This book is very compherensive and especially author did a great job in presenting real functions of multi variables by using vector terminologies. If this is a text book assigned in your class, stick to it and adopt yourself to the real world of math. It takes time any way. If you still hate it, just do your best to finish the class and prepare to get a job.

It's not THAT bad...

OK, it has a few typos, it is kinda hard to read and not very rigorous at some points, but all in all it's still an useful book for an intro to intermediate level analysis course--and I found it concise and very thorough, especially since it has a couple chapters on one variable analysis.