Advanced Calculus

In fact this is not an advanced book. But being advanced or not does depend on who is located in front of the book. It is, but rather, a continuation of the classic Calculus texts like Thomas, Leithold, Taylor, etc. This as for the content, that includes topics like Stieltjes Integral, line and surface Integrals, Fourier Series and Laplace Transformed (Stieltjes Integral can be included in the non advanced Calculus courses after treating the parametric equations in a Calculus course that is not considered advanced). What makes special this book it is the easiness with which the author introduces the topics, without necessity of entering in rodeos. He goes once and for all to the grain and it presents the whole content without creating doubts in the reader. It selects their exercises very well, leaving very undoubtedly that any student that has read each section of the book carefully, they can carry out them. The answers are at the end of the book. It presents the theorems with a nomenclature without complications, facilitating the reader's understanding. This book deserves to be in our shelves for future references, and anyone can have it without fear to lose its money, since it is very cheap....


Great book   July 4, 2000
11 out of 13 found this review helpful

Yes, a bit oldfashioned and black and white, but if you want attention to detail and rigorous proofs of all the theorems (gets to be quite advanced) this is a book for you. I taught myself after learning basic diff/int calculus. If you ever read a calc. book and get annoyed by those "..it can be shown.." lines, look in this little text and chances are it IS shown here.


Can't put it down!!!   June 23, 1999
14 out of 14 found this review helpful

This book is amazing. It is one of the most excititng math texts I have ever studied out of. I encourage any math or physics undergrad to purchase a copy pronto. It is great for self-instruction, and it provides you a much more mature explanation compared to all the "dumbdowned" texts which are taught out of in most universities today. I can't wait to get done with this review so I can get back to it.


very interesting   September 25, 1999
12 out of 13 found this review helpful

Although I found a few typos, and a few pages could be clearer, I still think this is an excellent book. *Every* theorem is proven rigorously, with nice examples. A great reference to have. It will introduce you to advanced analysis and from there you can go on to real analysis and set theory.