- Hardcover: 666 pages
- Publisher: Wiley; 2nd edition (January 16, 1991)
- Language: English
- ISBN-10: 0471000051
- ISBN-13: 978-0471000051
- Product Dimensions: 6.9 x 1.7 x 10.4 inches
- Shipping Weight: 2.6 pounds (View shipping rates and policies)
- Average Customer Review: 4.4 out of 5 stars See all reviews (51 customer reviews)
- Amazon Best Sellers Rank: #332,012 in Books (See Top 100 in Books)
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Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra 2nd Edition
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From the Publisher
An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
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Top Customer Reviews
The book has several strengths. The first is that it is readable (for a math book). I have caught myself reading it when I should be preparing lessons. Rather than a stream of examples, the author takes time to explain the theory, the proofs, and the basic concepts. The second strength is that the author is thorough. Theorems are proven and the reader can truly see why we do the things we do in Calculus. Rather than just give a list of integration techniques, the reader sees where they come from. The final big strength is organization.
This book is organized differently from the typical text. The author begins with integration, switches to derivatives, and then back to integration. I realized that this was a good idea, especially in my situation. If I get through the first few chapters, I'll have covered the basic concepts of integration and derivatives. If I go further, I'll have covered many of the advanced techniques. I'm not certain why he chose this order, but it works well for me and, apparently, it is historical. (In high school I don't use the latter half of the book. I essentially cover Calculus I over a full year.)
The obvious question is why I chose this as a high school book. As I noted, I was not satisfied with the "official" text, so I sought a cheap alternative. I was able to pick up almost enough copies of this book in a cheap used version for my class. It was acceptable because of the strengths I mentioned. I've had to skip topics and simplify topics for my high school students, but the difference I'm seeing, so far, is night and day. These students are far less frustrated than last year and they're understanding the material far better. It's likely my teaching has improved, but I have to give most of the credit to this textbook. It is something special when high school students can understand an advanced college book.
Ideally, I would love to find a high school version of this book. It is a great book!
I would strongly suggest this book to the graduate engineering students as a reference for there all calculus needs-believe me you will need it.