Introduction to analytic number theory
by Tom M. Apostol · first published 1976
11mentions
2recommended by
6HN commenters
2013–2025first – last mentioned
33% recommend50% neutral17% critical
Springer International Student Edition
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…Galois Theory (Harold Edwards) - Linear Representations of Finite Groups (Jean-Pierre Serre and Leonhard Scott) - A Classical Introduction to Modern Number Theory (Kenneth Ireland and Michael Rosen) - Introduction to Analytic Number Theory (Tom Apostol) - Modular Functions and Dirichlet Series in Number Theory (Tom Apostol) - Riemannian geometry (Peter Petersen) - The Theory of the Riemann Zeta-Function (Edward Charles Titchmarsh) -…
on “Mathematician's anger over his unread 500-page proof” ↗…(2nd ed.) by Brian Kernighan and Dennis Ritchie: This is the first programming language book that I read cover to cover. It was quite formative in my journey of learning to program the computer. 3) Introduction to Analytic Number Theory by Tom M. Apostol: I found this to be a fascinating textbook on analytic number theory. The book begins with simple properties of divisbility but it then soon introduces several new concepts like the…
on “What is the Best Textbooks on Every Subject?” ↗The book they are reading, Apostol's "Introduction to Analytic Number Theory", is for undergraduates. According to the preface, even that is overstating it: "Actually, a great deal of the book requires no calculus at all and could profitably be studied by sophisticated high school…
I'd like to say that Apostol's "Introduction to Analytic Number Theory" is bloody awful and is in no way suitable to be an introduction to analytic number theory. A reference book of proofs of some common theorems, yes, but an introduction? No.
on “Math notes to take you from one year of college calculus to grad student level” ↗…Second Edition" by Charles C. Pinter [1]. "How Not to Be Wrong: The Power of Mathematical Thinking" by Jordan Ellenberg [2]. "Guns, Germs, and Steel: The Fates of Human Societies" by Jared Diamond [3]. "Introduction to Analytic Number Theory" by Tom M. Apostol [4]. "Algorithmic Puzzles" by Levitin and Levitin [7]. I've also got a 46 books in my Safari Library queue, although only about half a dozen are actually in the in progress state.…
on “Ask HN: What books are you currently reading?” ↗A fellow book club host here! I too have run two book clubs over Jitsi and IRC. The first one was for Introduction to Analytic Number Theory (Apostol, 1976) and the second one was for Mastering Emacs (Petersen, 2022). Here are the meeting logs and some statistics: https://susam.net/cc/log.html Here are some posts and content pertaining to…
on “I run a software book club” ↗…the books I have been reading and then taking notes, sharing insights about them through blog posts, discussing them on IRC channels, etc. I have done two such book clubs so far. The first one was for Introduction to Analytic Number Theory (Apostol, 1976) and the second one was for Mastering Emacs (Petersen, 2022). I have the meeting logs, details, etc. for them available here: https://susam.net/cc/ I plan to begin one more on Galois…
on “Learn in Public (2018)” ↗The first book club I organised focussed on "Introduction to Analytic Number Theory" by Apostol (1976). While the book excelled in rigour, some members, especially those without a strong mathematics background, found the constant alternation between theorems and proofs a bit too dry.…
on “Tell HN: I am going to host "Real Analysis" book club meetings” ↗…Fortran, and Rust. Another example is number theory. I just checked a few number theory books from my library and most used base e: Hardy & Wright's "An Introduction to the Theory of Numbers", Apostol's "Introduction to Analytic Number Theory", Baker's "A Comprehensive Course in Number Theory", Ingham's "The Distribution of Prime Numbers", Baker's "Transcendental Number Theory", Ribenboim's "The Book of Prime Number Records", Kumanduri & Romero's…
on “New proof dramatically compresses space needed for computation” ↗A book club for Introduction to Analytic Number Theory and How to Use Emacs. I guess I'm not as nerdy as I once thought!
on “I run a software book club” ↗Author references Introduction to Analytic Number Theory. Link: https://archive.org/details/introductiontoan00apos_0
on “GCD Grid” ↗