Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications | 
 enlarge | Author: Tom M. Apostol
Publisher: Wiley
Category: Book
Buy New: $109.95
New (17) Used (17) Collectible (2) from $47.95
Rating:  14 reviews
Sales Rank: 150519
Media: Hardcover
Edition: 2
Pages: 704
Number Of Items: 1
Shipping Weight (lbs): 2.7
Dimensions (in): 10 x 6.9 x 1.1
ISBN: 0471000078
Dewey Decimal Number: 517
EAN: 9780471000075
Publication Date: June 1969
Availability: Usually ships in 1-2 business days
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| Customer Reviews: Read 9 more reviews...
 A nice continuation to the first volume. May 13, 2008
MAO (LAS VEGAS)
This volume is the hammer of the two volumes, where as the first volume would be the nail. Once you've master volume one it's time to start digging for gold; the basics one learns in volume one will be expanded to multi-variables and applications that will challenge even the most skilled students. The introduction of linear algebra is a good preview of the things to come for those interested in pursuing mathematics even further.
 Not your starter book May 8, 2008
Liviu I. Nicolaescu (Notre Dame, IN)
1 out of 2 found this review helpful
The author is a world renowned mathematician, with many beautiful achievements under his belt. I would not include this popular textbook in this category.
I tried to use it for my real analysis class but I decided otherwise when I opened the first volume. I believe strongly that the key concept underlying real analysis is the concept of convergence/continuity. What turned me off from this book was his consistent effort to avoid this concept for the first half of the first volume which deals with rather sophisticated convergence problems involving Riemann/Darboux sums.
The choice of opening a beginner's book on analysis with Riemann integral is rather unusual. In itself, being unusual is not a negative, but in this special case I do not believe it is helpful. I believe that in learning one should start with simpler examples and gradually increase the difficulty. In this book the reader is thrown in some of the most complex situations, while deliberately avoiding the two ton gorilla in the room. This is not how this reviewer and many of his students learn a new theory.
What is then a young reader to do? I have two strong recommendations. The first is the classic text by G.H. Hardy, A course in pure mathematics. This old classic is still relevant today. Hardy was an elegant writer with a beautiful mind, arguably one the best analysts of the 20th century. His book has rigor, geometric intuition, beautiful examples, and a genuine empathy for the green mind. Some exercises in this book can be a bit challenging, but always very rewarding.
The second recommendation is Terry Tao's textbook on real analysis. His is arguably one the the best analysts alive, and he has a keen sense of the traps awaiting the modern students. As far as organization, it follows the standard structure, which I believe was a wise choice. He is not out to blow your mind with his expertise, but to slowly and carefully peel off the layers of mystery.
One more argument in favor of Hardy or Tao's books: the price. For any of them, you will pay roughly half the price of Apostol's book, and you will get more in return.
A classic, richness in knowledge few books attempt anymore. May 15, 2006
Andres G. Vidal-gadea (LA, USA)
4 out of 8 found this review helpful
I used these books (Vols. 1&2) in my last two years of high school back in South America. I remember long nights of bad coffee and cigarettes locked in my room reading it over and over. The book is full of really cool knowledge (even for a non-mathematician). Most of today's students learn like little parrots, (without thinking or understanding) just repeating things mindlessly. This will make this book unpopular among these people because having to read a sentence and stop to figure things out on their own is too hard a challenge for them. I guess that like the high standard of the education of old when teachers loved teaching and their subject this book is also going the way of the dinosaurs. I'll get my copy before that if I were you though ;-)
A righteous calculus text September 19, 2005
Cornell 07'
3 out of 6 found this review helpful
This one of the more righteous books in the author's oeuvre and that is saying something! The subject matter is closely akin to a course I took in Freshman year however it excludes manifolds and operatoins on them. In this respect, the book is not as good as some others out there for an integrated view that even a frosh can grasp. However, overlooking this shortcoming, the text is definitely righteous, being one of the few out there with this integrated approach and being a classic of sorts.
Very thorough, but very dense November 18, 2004
Kate K (WI)
11 out of 12 found this review helpful
I'm currently taking an honors calculus sequence at the U of WI, and have used this book and the first volume for the past three semesters. Needless to say, you have to take Apostol with a grain of salt. Although the no-frills style and lack of worked examples is upsetting to many students who are used to pictures, thorough examples, and color, these volumes cover a lot of material in a small space. And also beware; my professor and others in the math department have found errors in definitions and theorems, and the archaic notation is off-setting at times. Basically, if you're looking for straighforward information (written by a mathematician, for a mathematician), you've found the perfect book. If you're looking for an easy-to-read and understand book, keep searching.
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