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Rating: Summary: not so bad, IMO Review: I didn't think this book was so bad. There are enough examples & lots & lots of problems ranging from simple computations to actual proofs (like that e is irrational, for example). The explanation is fairly clear also. Off the top of my head, topics for 1st year in this book include functions, continuity, limits, derivatives, applications of the derivative (lots of word problems), Riemann integration, applications of integration (like separable ODEs, volumes), techniques of integration (partial fractions, parts, trig substitution, etc). The stuff I did in 2nd year was vectors, differential geometry, partial derivatives, spherical & cylindrical coordinates, applications of partial derivatives & multiple integrals, line & surface integrals.I didn't think this book was as bad as the other reviewers. If this one isn't good enough though, there's certainly no shortage of other calculus texts to choose from.
Rating: Summary: not so bad, IMO Review: I didn't think this book was so bad. There are enough examples & lots & lots of problems ranging from simple computations to actual proofs (like that e is irrational, for example). The explanation is fairly clear also. Off the top of my head, topics for 1st year in this book include functions, continuity, limits, derivatives, applications of the derivative (lots of word problems), Riemann integration, applications of integration (like separable ODEs, volumes), techniques of integration (partial fractions, parts, trig substitution, etc). The stuff I did in 2nd year was vectors, differential geometry, partial derivatives, spherical & cylindrical coordinates, applications of partial derivatives & multiple integrals, line & surface integrals.I didn't think this book was as bad as the other reviewers. If this one isn't good enough though, there's certainly no shortage of other calculus texts to choose from.
Rating: Summary: A Student's perspective Review: I took a math class using this book and it was frustrating. The problems were challenging which was good, but the support offered by the book was poor. If you needed to understand something you couldn't use the book to help you out. All it did was spit out a few equations and inconsistent derivations of them. I found the book very frustrating and if you're looking to learn math skills I'd recommend something else.
Rating: Summary: A Former Penney Student's Perspective Review: If you are expecting to learn calculus on your own, this is probably not the book for you. However, if used by a competent lecturer, this is a very good textbook to learn the basics of calculus from. The problems assigned to each section are EXCELLENT for driving home the concepts presented.
Rating: Summary: A Former Penney Student's Perspective Review: If you are expecting to learn calculus on your own, this is probably not the book for you. However, if used by a competent lecturer, this is a very good textbook to learn the basics of calculus from. The problems assigned to each section are EXCELLENT for driving home the concepts presented.
Rating: Summary: Not good Review: It is a safe to assume that a book isn't good if the author's(') name(s) is/are larger than the title. Many textbooks suffer from this egomania which can be easily cured with an exacto knife: Just cut around the name(s) and peel. The book suffers from a poor use of the english language with ideas being presented with too many unnecessary words. Images are labelled with three numbers making the layout confusing i.e. "Fig. 14.9.5" This book has a sloppy finish to it and will only waste your time. Integrated Physics and Calculus is a much better buy.
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