Mathematical Analysis by Apostol

[Werg22]

Is there a big difference between the 1st and the 2nd edition? I'm considering buying the book, and the 1st edition is much cheaper, but I suspect it may not be that good.

 

[qspeechc]

Well, in the preface to the second edition, Apostol writes:

"The second edition differs from the first in many respects. Point set topology is developed in the setting of metric spaces as well as in Euclidean n-space, and two new chapters have been added on Lebesgue integration. The material on line integrals, vector analysis, and surface integrals has been deleted. The order of some chapters has been rearranged, many section having been completely rewritten, and several new excercises have been added."

I have not read the first edition, I've read parts of the second, so I can't comment. I do agree that when a book becomes popular, the price becomes bloated.

 

[charng]

I cannot provide a personal opinion on the quality of a book. However, I can provide information on the differences between the 1st and 2nd edition of Mathematical Analysis by Apostol.

The main difference between the 1st and 2nd edition of this book is that the 2nd edition includes additional material and exercises. Specifically, the 2nd edition includes new sections on the Riemann-Stieltjes integral, multivariable calculus, and differential equations. It also has more exercises and examples throughout the book.

In terms of content, the 2nd edition is more comprehensive and covers a wider range of topics compared to the 1st edition. This may be beneficial for those looking for a more in-depth understanding of mathematical analysis.

Ultimately, the decision to purchase the 1st or 2nd edition should depend on your specific needs and goals. If you are looking for a more comprehensive and up-to-date book, the 2nd edition would be a better choice. However, if you are looking for a more affordable option and do not require the additional material, the 1st edition may be a suitable option.