- Series: Undergraduate Texts in Mathematics
- Hardcover: 731 pages
- Publisher: Springer; 5th edition (March 16, 1998)
- Language: English
- ISBN-10: 0387962018
- ISBN-13: 978-0387962016
- Product Dimensions: 6.1 x 1.6 x 9.2 inches
- Shipping Weight: 2.4 pounds (View shipping rates and policies)
- Average Customer Review: 4.5 out of 5 stars See all reviews (11 customer reviews)
- Amazon Best Sellers Rank: #897,955 in Books (See Top 100 in Books)
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A First Course in Calculus (Undergraduate Texts in Mathematics) 5th Edition
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Top Customer Reviews
As effectively as Lang conveys the key concepts and teaches you how to solve problems, he does not neglect the subject's logical development. Topics are introduced only after their logical foundations have been laid. Results are derived. Theorems are proved when Lang feels that they will add to the reader's understanding. Through his exposition and his grouping of logically related exercises, Lang teaches the reader how a mathematician thinks about the subject.
The book is divided into five sections: review of basic material, differentiation and elementary functions, integration, Taylor's formula and series, and functions of several variables. The heart of the course is the middle three sections.
Most of the topics covered in the review of basic material should be familiar to most readers.Read more ›
calculus books and this book is one of my favorites. The book looks like a math
book in that it is not a 1200 page glossy coloring book with multi-colored inserts on every
page. I think that the style of this book is a hugh improvement over most of the books on the market. I think a student who
buys this book along with a good calculus study guide would be very well set.
ask you to do simple symbolic manipulation so you'll remember rules -- but there are
too few exercises that require the reader to actually think harder and be creative. The explanations are often shallow and not as stimulating as they could be, in my opinion.
Some examples of sections that I think are not well written are the one about implicit differentiation (the discussion is too short and not clear, and there are less exercises in this section than in others); the one about rate of change (some examples are boring, like "find the rate of change of the area of a circle given the rate of change of its diameter"; he does not make it clear that he's always derives with relation to time and that, for example, the radius and height of a cylinder should be understood as functions of time, so there's a feeling of sloppiness).
It's a good book,anyway. Now, it becomes a really great book when compared to the
colorful, flashy books available today.
However, in the context of being a "first course" it fits that goal 100%. This book is why using older textbooks is actually a good idea. The organization is different than modern texts, which might prep for SAT's, but they are not always great for novice students.
The downside to older textbooks is that the format is usually different in how they approach various topics. The treatment of limits in this book is similiar to other older texts I have. Even Morris Kline's book seems to follow this pattern.
So a high school student would probably not be ready for the SAT's with this book, but they will at least learn Calculus in a very straightforward manner.
For self study or adult learners this book is better than any "dummies" book. ( not better than Kline's Calc book ) but better than stewart or larson for getting back in touch or learning Calculus for the first time.
Most Recent Customer Reviews
I like this book because it is easy to understand and still meets the standard of a professional textbook.Published 21 months ago by Keith Grubbs
As earlier reviewers noted, there's nothing fancy about this book, just a clear explanation of single variable calculus.Published on September 17, 2009 by C