Number theory problem book

Question

Can anyone suggest me some good book that has problems on classical elementary number theory with solutions?

Dear OP, you said "elementary-number-theory" but tagged it as "number-theory"! (Not to worry, I've edited the question's tags.) :-) — , Jun 14 '14 at 20:20
If you're looking for more challenging problems, there's the PEN problem set. Solutions should be accessible somewhere, I guess. It's not a real book, though. — Bart Michels, Jun 15 '14 at 13:05

score 4 · Answer 1 · answered Dec 21 '16 at 11:48

4

The book Elementary number theory and its applications by Kenneth Rosen is the book you are looking for.

Its solutions are available online.

answered Dec 21 '16 at 11:48

Vidyanshu Mishra

10,143

score 4 · Answer 2 · answered Jun 14 '14 at 20:30

4

Number Theory: Structures, Examples, and Problems Titu Andreescu, Dorin Andrica

Problem-Solving and Selected Topics in Number Theory, by Michael Th. Rassias

answered Jun 14 '14 at 20:30

AsdrubalBeltran

4,212

score 4 · Answer 3 · answered Jun 15 '14 at 12:40

4

Definitely 1001 Problems in Classical Number Theory. You can sample the book here:

http://books.google.com/books?id=Qv8W1Ed0El8C&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false

answered Jun 15 '14 at 12:40

score 3 · Answer 4 · answered Jun 14 '14 at 20:23

3

I enjoyed A Classical Introduction to Modern Number Theory by Ireland & Rosen. The first five chapters cover elementary number theory and there are hints to selected exercises.

answered Jun 14 '14 at 20:23

Jacob Bond

1,275

score 2 · Answer 5 · answered Jun 15 '14 at 19:57

2

What about "Elementary Number Theory" by Underwood Dudley? I like that book.

answered Jun 15 '14 at 19:57

Evelyn

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score 1 · Answer 6 · answered Nov 07 '19 at 23:34

1

Elementary Number Theory with Applications by Thomas Koshy have solutions to the odd-numbered exercises. The Solutions Manual for Students contains solutions to the even-numbered.

answered Nov 07 '19 at 23:34

Pedro

18,817
7
65
127

score 1 · Answer 7 · answered Jun 15 '14 at 12:37

1

The book 1001 Problems in Classical Number Theory by de Koninck and Mercier fits your requirements.

answered Jun 15 '14 at 12:37

Pete Klimek

516

score 0 · Answer 8 · answered Feb 01 '21 at 19:16

0

I recommend Number Theory: Step by Step published in Dec. 2020 by Kuldeep Singh for two reasons. It provides solutions online to EVERY exercise. It uses color.

answered Feb 01 '21 at 19:16

score 0 · Answer 9 · answered Mar 15 '21 at 12:06

0

The book by Kuldeep Singh Number theory step by step is ideally for self-study as it provides complete solutions to all problems and video topics with subtitles at the following URL: https://maths-for-all.co.uk/number-theory/

answered Mar 15 '21 at 12:06

Paul Watson

1

score 0 · Answer 10 · answered Sep 15 '21 at 09:08

A. Adler, J.E. Coury: The Theory of Numbers. A text and the source book of problems, Jones and Barlett Publishers, 1995.

J. Roberts: Elementary Number Theory. A Problem Oriented Approach, MIT Press, 1977.

W. Sierpinski: 250 Problems in Elementary Number Theory, Elsevier, PWN, 1970.

I.M. Vinogradov: Elements of Number Theory, Dover, 1954.

You may take a look also at this list:

https://web.math.pmf.unizg.hr/~duje/literatura.html

Number theory problem book

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