Introduction to Analytic Number Theory

by Tom M. Apostol

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-―MATHEMATICAL REVIEWS

Genres: Mathematics, Number Theory, Science, Textbooks, Theory, Number, Nonfiction

352 pages, Hardcover

First published January 1, 1976

Reviews

[Hobart Mariner · Rating 5 out of 5]

An exercise in good taste: selection of topics, exercises/problems, computational example. Maybe the best intro to any subject I've read...better than baby Rudin even. A great deal of affection for the subject shines through, even though the author refrains from the corny humor and rantiness that plague lesser books. Genuinely a stone classic, readable by almost anyone (until you get to the complex analytic bits in the later chapters), and successful in conveying the vibe, beauty, and meaning of its subject.

[Marianna · Rating 2 out of 5]

This book is OK when the reader is quite familiar with number theory's methods, but it doesn't expose aftermaths as clearly as you'd expect from an undergraduate book. If it's just the first time you approach to the subject you better look for other books as well.

[Nilo De Roock · Rating 5 out of 5]

The Open University UK, which is truly excellent in writing their own study materials, used this book as a prime reading source for their analytic number theory courses M823 and M829 at the MSC. level. That should say enough about the quality of the text. - Everytime I pick up this book, it is with joy, and, there is always the likelyhood of learning the material at a deeper level.

[Wissam Raji · Rating 5 out of 5]

A very good undergraduate introductory book to analytic number theory. The treatment is basic and understandable for those who have basic knowledge of real analysis. The topics chosen are carefully chosen and explicitly dealt with. Highly recommended for those who want to learn analytic number theory.

[Ayush Bhat · Rating 3 out of 5]

It's a classic, no doubt about that but, it doesn't go deep into stuff just touches then leaves the topic.

[Cương Trần · Rating 5 out of 5]

I want to read this book, please!
Thanks!

[Andrew · Rating 5 out of 5]

Brilliant! Expertly written and full of fascinating number theory - working towards understanding the mathematics behind the Prime Number Theorem and Riemann Hypothesis.

[Satyaki]

https://www.youtube.com/playlist?list...

[Elizabeth S. Q. Goodman]

I figure I need some grounding in analytic number theory, because I've always found it confusing. I read the first two chapters or so of this and that was fine.