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Title: Calculus. by Tom M. Apostol ISBN: 0471000051 Publisher: John Wiley & Sons Pub. Date: June, 1967 Format: Hardcover Volumes: 1 List Price(USD): $127.80 |
Average Customer Rating: 4.31
Rating: 3
Summary: Where Does It Fit?
Comment: I like this book, but I will not use it as my choice for textbook. The modern approach is to seperate the subjects covered by this two volumes back to where it belongs. Linear Algebra should not be taught in Calculus per se. I don't favor integration first, defferentiation later particularly. For science and engineering classes, I recommend Stewart's for lesser workload classes or for science students, Swokowski's for heavier workload classes or for engineering students, Spivak's for math students or science students. I found Tom's book is not suitable for entry-level students. My question is why repeat again for advanced student? Teach them other subjects by specialized textbooks. Tom's does not fit into any of the scheme. In marketing term, this book has no market nitch. It belongs to the library as reference book. Again, there are many much better written books than Tom's. For math students, they can move on after either Spivak's or Stewart's to Rudin's Principles of Mathematical Analysis or Marsden's Elementary Classical Analysis, then, to Royden's Real Analysis for Lebesque Integration and Measure Theory or Rudin's Functional Analysis for Operator and Spectral Theory in Banach and Hilbert Space. Linear Algebra has two trails. For science and engineering students, Strange's is the choice for its modern computer concept and application. For math students, Peter Lax's is better than Tom's. Where does this book fit? It was once the choice of textbook for advanced students. Now, many things have been changed ranging from students' math level to computer application to the cruching of middle layer in math education. Today, Topology is no longer taught as a seperate course. It has been crushed into early section of Analysis course followed by Differentiation, Integration and Measure Theory. If you have $200 to buy Tom's book (2 Vol.) and follow his other book to Mathematical Analysis and you have plenty of time to study and do its homework with a very good reader to correct them for you, yes, you can consider to buy it. If you are on a fast track to broaden your exposure in modern math, forget about it! Your time can be put into better use. Enjoy sunlight and your life!
Rating: 5
Summary: A great text for reference, but not for introduction.
Comment: While this book deserves the good reviews it has received, I don't think it is very useful for anyone that is not already versed in the subject matter. For those who need a reference text on calculus that is rigorous, focused and complete it won't get any better than this.
Yet, I have to repeat a remark by a previous reviewer, that for anyone who is in need of more user-friendly introduction, or who is looking for more advanced angles, this book may be an awkward choice.
That said, I see no problems with the introduction of integration before differentiation, since most appreciative users will have been introduced by other texts. Far from all the modern books aimed at generations X, Y and Z everything remains axiomatic and mathematically thorough and no necessary proof is omitted in an attempt to cut corners.
A classic couple of books for those that need all their t's crossed.
Rating: 5
Summary: Real Math for Real Mathematicians
Comment: Apostol's Calculus, Vols 1 and 2, are my calc bibles. It is unfortunate that more undergraduate curricula and textbooks don't follow the axiomatic, yet cleanly-written style of Apostol. Standard texts (e.g. Stewart) pull theorems out of the error without proof, as if the point of taking calc is to get it done and over with as quickly as possible.
To be sure, Apostol isn't for everyone. If you are fascinated by color pictures and your primary interest is to learn the bare minimum, buy another book. But if you want to get more out of your undergraduate calc, whether you're a math or science major, or you're studying on your own (I meet both criteria), Apostol is the way to go.
This is a must if you're thinking of taking any higher math. Worth the bucks, it'll save you in the long run.
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Title: Mathematical Analysis: A Modern Approach to Advanced Calculus (2nd Edition) by Tom M. Apostol ISBN: 0201002884 Publisher: Addison-Wesley Pub Co Pub. Date: January, 1974 List Price(USD): $116.00 |
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Title: Calculus by Michael Spivak ISBN: 0914098896 Publisher: Publish or Perish Pub. Date: December, 1994 List Price(USD): $70.00 |
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Title: Answer Book to Calculus by Michael Spivak ISBN: 091409890X Publisher: Publish or Perish Pub. Date: January, 1996 List Price(USD): $35.00 |
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Title: Principles of Mathematical Analysis by Walter Rudin ISBN: 007054235X Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 01 January, 1976 List Price(USD): $128.20 |
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Title: 2 Volume Set, Differential and Integral Calculus by Richard Courant ISBN: 0471588814 Publisher: John Wiley & Sons Pub. Date: 17 June, 1992 List Price(USD): $185.00 |
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