Rating: 
Summary: Great if a freshman tells you 'i want to do math'
Review: "Tommy" is a good choice for the first or second year students who have considerable talent and interest in math, as a bridge between their 'compulsary' calculus and the rigor of mathematical analysis. The text is well written (as freshmen text ought to be) sans the colorful graphs and 'real life applications' prevailing in other calculus text (those not written for math majors). The exercises are balanced between routine slog and rigorous proof. Notations are standard and consistent throughout. I recommend this as a textbook for honors calculus class, or as an in-depth self study for the non-math majors.
Rating:
Summary: Great if a freshman tells you 'i want to do math'
Review: "Tommy" is a good choice for the first or second year students who have considerable talent and interest in math, as a bridge between their 'compulsary' calculus and the rigor of mathematical analysis. The text is well written (as freshmen text ought to be) sans the colorful graphs and 'real life applications' prevailing in other calculus text (those not written for math majors). The exercises are balanced between routine slog and rigorous proof. Notations are standard and consistent throughout. I recommend this as a textbook for honors calculus class, or as an in-depth self study for the non-math majors.
Rating:
Summary: A Calculus book for future Mathematicians
Review: Apostol's Calculus is the definitive book on Calculus for anyone who wants to be a mathematician. Historical notes, intuitive ideas, clear definitions, demonstrations, all is there, from natural numbers to Stokes' Theorem. His applications of linear algebra to multivariate calculus are among the best I have seen on calculus textbooks Better than this, only a book on Mathematical Analysis.
Rating:
Summary: The one calculus book to rule all others
Review: Apostol's Calculus is without a doubt the greatest mathematics textbook ever written. The approach is excellent and the book proves EVERYTHING. The exercises are difficult, but extremely effective in getting the point accross. I would reccomend this book for all Calculus I and II classes, except perhaps the less rigorous ones.
Rating:
Summary: Real Math for Real Mathematicians
Review: 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.
Rating:
Summary: Real Math for Real Mathematicians
Review: 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.
Rating:
Summary: Value in Diversity
Review: Apostol's presentation differs from the standard order and content for a calculus course, but is the more useful for it. Introducing integration first is historically more accurate and sets the tone for the rest of the book. This is not a "plumbers" book but the examples inform the abstraction very well. This book does not bog down in the tedium of analytical geometry and figure recognition which is too often the case elsewhere. I am using the book for self-study as a middle-aged adult and find the presentation makes sense of things from other sources. The intellectual level is demanding but not unreasonable--challenging without being overwelming. While the introduction of linear algebra may no longer be needed for introductory calculus students, presenting it in the context of the calculus ties thing together nicely.
Rating:
Summary: Value in Diversity
Review: Apostol's presentation differs from the standard order and content for a calculus course, but is the more useful for it. Introducing integration first is historically more accurate and sets the tone for the rest of the book. This is not a "plumbers" book but the examples inform the abstraction very well. This book does not bog down in the tedium of analytical geometry and figure recognition which is too often the case elsewhere. I am using the book for self-study as a middle-aged adult and find the presentation makes sense of things from other sources. The intellectual level is demanding but not unreasonable--challenging without being overwelming. While the introduction of linear algebra may no longer be needed for introductory calculus students, presenting it in the context of the calculus ties thing together nicely.
Rating:
Summary: It's Too Bad !!
Review: Frankly, it is too bad that modern academic institutions and those responsible for it's direction have forgone the use of two marvelous and impeccably well-written Calculus texts and in their place have opted to baby students with such authors as Stewart. In the hands of a confident and versed instructor these two texts are worth their weight in gold since they carry the student through the normal Calculus I, II and III sequence as well as providing a nice digression into Linear Algebra. As stated by prior reviewers, these two books are complete, rigorous, Apostol never cuts corners in his presentation of the material and he shows the student exactly how calculus and in general mathematics texts should be written. By far these are best and everything else is merely a waste of paper. My hat goes off to Apostol for continuing to his legacy of well-written Mathematical texts
Rating:
Summary: Review of Tommy Volume 2
Review: I am currently enrolled in BC Calculus in my high school as well as linear algebra at a local college. What better way to learn both together than with Tommy. This is a great book to learn the connections between the two and how to do real linear algebra, not straight algebra but differentiating and doing calculus on whatever spaces you want. It's very concise, however not so clear. I skipped into BC and spend a lot of free time doing math and this book is still a bit deep. Also, the tie-ins to LA are definitely not going to be apparent off the bat. I have a really great LA teacher so I find myself skipping over some of his more complicated expressions of very simple items, however if i were a newcomer to LA, this would be totally confusing and Greek. I agree with the other reviewers, if you're familiar with calculus and LA and want to learn more about each and their connections, this is the bible, however, if you're a newcomer to one or both, definitely learn each separately and more simply. The book is very proof based and states it assumes you know how to use the mathematical objects it's presenting, now it's showing you why they work. Some of his expressions are like physics problems mindset, first look you'll have no idea, but if you think about it, eventually the ideas all fall together. A great book and recomended to anyone experienced enough to handle it.
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