What are the differences between popular Calculus books?

In summary, the speaker has an old Calculus book and found new editions on Amazon and eBay. They ordered a new book, "Calculus: Early Transcendental Functions 3rd Edition with CD bundle" by Larson. They ask for an explanation of "Early Transcendental" and the differences between Larson, Stewart, and Anton's books. They also ask if any of these books are available in ebook format. Another person shares their opinion that most calculus books are similar and explains what transcendental functions are. They mention that Stewart's book is overpriced and not recommended, while another person recommends Thomas' book. The conversation ends with someone wishing they could trade their Stewart book for a Spivak book, as they now
  • #1
Sword7
19
2
Hello folks,

Because I have my old "Calculus 2nd Edition by Anton Howard" book, I checked latest editions through Amazon.com and eBay.com. I found some new kinds of books that I never heard of that before. Also, I found other Calculus books by Larson and Stewart, etc. On eBay.com, I ordered the Larson one (Calculus: Early Transcendental Functions 3rd Edition with CD bundle) and received it today. I compared it with my old Calculus but not much difference but much colorful pages and CD included.

Does anyone know what is "Early Transcendental" for? Can you explan that?

What are difference between Larson, Stewart, and Anton, etc..?

Does they offer ebook format?

Thanks!
Sword7
 
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  • #2
Most "standard" (to me bad) calculus books are very much alike. Transcendental functions are those that are not algebraic (polynomials, inverses of polynomials, roots, rational functions, and the like). Examples of tranendentral functions include sin, cos, tan, Arccos, Arcsin, Arctan, exp, log, sinh, cosh, tanh, erf, and others. In a standard calculus books such functions are first used several hundreed pages in, an Early Transcendental Functions calculus book uses such functions earlier.

As far as differences there are few, although to me none are very good, though Stewart is worst (and ridiculouly overpricesd at over 200$, at price which should buy at least 10 actual good calculus books).
 
  • #3
Stewart made a hell lot of money though; it is the best-selling calculus book. I personally recommend Thomas.
 
  • #4
I doubt that Stewart "made a hell of a lot of money", at least not for himself. Most of the cost of textbooks goes into the cost of printing. Both paper and ink have become hellaciously expensive in recent years.
 
  • #5
I did hear from someone that he made few millions. Too much money for a mathematician :biggrin:
 
  • #6
It does not surprise me. They use Stewart's book in our math department. Our library sells it for ~$160 though. Largely overpriced as compared to many other, and far better books you can get for 1/4th of the price.
 
  • #7
We use this book as well. In my opinion it's a piece of junk.

Wish I could trade it for a Spivak, now that I know how bad it is.
 

FAQ: What are the differences between popular Calculus books?

What is Calculus and why is it important?

Calculus is a branch of mathematics that deals with the study of change and motion. It is important because it provides a framework for understanding and analyzing complex systems and phenomena in fields such as physics, engineering, and economics.

What are the basic concepts in Calculus?

The basic concepts in Calculus include limits, derivatives, and integrals. Limits are used to describe the behavior of a function as the input approaches a certain value. Derivatives measure the rate of change of a function with respect to its input. Integrals are used to find the area under a curve or the accumulation of a quantity over a given interval.

What are the different types of Calculus?

There are two main types of Calculus: differential Calculus and integral Calculus. Differential Calculus deals with the study of rates of change and slopes of curves, while integral Calculus deals with the study of areas and volumes under curves. Other types of Calculus include vector Calculus, multivariable Calculus, and differential equations.

Do I need a strong background in math to study Calculus?

Yes, a strong foundation in algebra, geometry, and trigonometry is necessary for understanding Calculus. It is also helpful to have a good understanding of functions and their graphs.

What are some good resources for learning Calculus?

There are many good Calculus books available, such as "Calculus: Early Transcendentals" by James Stewart and "Calculus" by Michael Spivak. Online resources such as Khan Academy and MIT OpenCourseWare also offer free Calculus courses. Additionally, attending lectures and seeking help from a tutor or teacher can also be beneficial.

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