Easily master the fundamental concepts of mathematical analysis with ADVANCED CALCULUS. Presented in a clear and simple way, this advanced caluclus text leads you to a precise understanding of the subject by providing you with the tools you need to succeed. A wide variety of exercises helps you gain a genuine understanding of the material and examples demonstrate the significance of what you learn. Emphasizing the unity of the subject, the text shows that mathematical analysis is not a collection of isolated facts and techniques, but rather a coherent body of knowledge.
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Book Description
Editorial Reviews
About the Author
Patrick M. Fitzpatrick is Professor and Chair of Mathematics at the University of Maryland, College Park.
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Most Helpful Customer Reviews
10 of 10 people found the following review helpful:
5.0 out of 5 stars
A readable analysis text (esp. chapters on vector function),
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This review is from: Advanced Calculus (Pure and Applied Undergraduate Texts: the Sally Series) (Hardcover)
This is a very good book. I recommend this book for anyone who wants to learn calculus on a rigorous level.This text is very readable. Unlike most analysis texts out there that focus on rigor without any intuition, Fitzpatrick strikes the perfect balance. The topics are well spaced (via the sections) and exercises are accessible. I also recommend this for non-math grad students like econ, stat, and engineering. The section on Multivariate calculus is the best I have seen out there. If you went through an analysis course in undergrad and did okay but never really grasped the concepts and how they all fit, then this is the book for you. But just that you know this is not a book on the level of Royden. To some extent its a little bit on the level of Rudin. (maybe a little bit lower) This is my first time writing a recommendation for a book review, but I felt obligated to mention how useful this book has been to me. I will repeat If you have a strong analysis background you may want a different book with less intuition and examples. But if you are in the middle and you feel like you want a comprehensive, cohesive and readable real analaysis text then this is the right book for you.
4 of 4 people found the following review helpful:
5.0 out of 5 stars
Very Good Bridge between Calc and Analysis,
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This review is from: Advanced Calculus (Paperback)
This book is a proof-based calculus and a first Analysis. I've had experience with a few Analysis books and this is much more approachable while still containing rigorous definitions and proofs. The author takes care to give intuitive examples and motivation. That being said, it would be difficult (but not impossible) for someone who wasn't familiar with writing and closely reading proofs. If you intend to attempt this book without having had some sort of math reasoning course or background you should pick up an introduction to proofs book - I suggest Eccles "Intro to math reasoning":An Introduction to Mathematical Reasoning
5.0 out of 5 stars
Excellent,
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This review is from: Advanced Calculus (Pure and Applied Undergraduate Texts: the Sally Series) (Hardcover)
Comes in handy for my class. I love math and this book will help. This book will put me on my way to my goal in mathamatics.
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