# Elementary Number Theory

Springer, Jul 31, 1998 - Mathematics - 301 pages
An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

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Good book; covers most of the interesting topics in number theory. Full of good examples and exercises wish solutions in the back.
One notation had me a little puzzled - the use of a decimal point
for multiplication. But this is easy to get used to since all numbers of concern are integers. 5 stars!

#### Review: Elementary Number Theory

User Review  - Venkata - Goodreads

### Contents

 II 1 III 2 IV 7 V 12 VI 13 VII 16 VIII 19 IX 25
 XLV 148 XLVI 152 XLVII 154 XLVIII 157 XLIX 162 L 163 LI 165 LII 166

 X 30 XI 32 XII 35 XIII 37 XIV 46 XV 52 XVI 57 XVII 59 XVIII 62 XIX 65 XX 72 XXI 78 XXII 82 XXIII 83 XXIV 85 XXV 92 XXVI 96 XXVII 97 XXVIII 99 XXIX 103 XXX 106 XXXI 108 XXXII 110 XXXIII 113 XXXIV 116 XXXV 117 XXXVI 119 XXXVII 120 XXXVIII 123 XXXIX 130 XL 135 XLI 138 XLII 140 XLIII 143 XLIV 146
 LIII 170 LIV 174 LV 176 LVI 179 LVII 182 LVIII 185 LIX 188 LX 191 LXI 196 LXII 201 LXIII 202 LXIV 205 LXV 206 LXVI 214 LXVII 217 LXVIII 218 LXIX 219 LXX 221 LXXI 223 LXXII 226 LXXIII 227 LXXIV 228 LXXV 233 LXXVI 234 LXXVII 237 LXXVIII 239 LXXIX 243 LXXX 247 LXXXI 249 LXXXII 251 LXXXIII 289 LXXXIV 295 LXXXV 297 Copyright

### References from web pages

Mathematics Year One Module - Elementary Number Theory I (Ma0111)
Jones ga and Jones jm, Elementary Number Theory , (Springer), QA241. ... Rosen kh, Elementary Number Theory and its Applications , (Addison-Wesley), QA241. ...
www.cardiff.ac.uk/ maths/ currentstudents/ modules/ ma0111.html

CM224X/5CCM224A/6CCM224B 2007/08 Elementary Number Theory Course ...
dm Burton, Elementary number theory, mcgraw-Hill Education, 5th. ed., 2001. ... ga Jones and jm Jones, Elementary Number Theory, Springer, ...
www.mth.kcl.ac.uk/ courses/ cm224/ CM224_info.pdf

JSTOR: Elementary Number Theory
elementary number theory which leads to an elementary proof of the prime number theorem, Proc. Nat. Acad. Sci. USA, 35 (1949) pp. 374-384. 2. ...

Problems in Elementary Number Theory
a collection of interesting problems in elementary Number Theory. Many of the problems. are mathematical competition problems from all over the world like ...
www.problem-solving.be/ pen/ index.php?f=30

PROBLEMS IN ELEMENTARY NUMBER THEORY Hojoo Lee God does arithmetic ...
PROBLEMS IN ELEMENTARY NUMBER THEORY. 9. A 46. Let a and b be integers. ... PROBLEMS IN ELEMENTARY NUMBER THEORY. A 58. Let k ≥ 14 be an integer, and let p ...
myhome.naver.com/ hojoolee/ pen2005.pdf

mat311s01
ELEMENTARY NUMBER THEORY and its applications Fourth Edition ... Elementary Number Theory. ra Mollin Fundamental NUMBER THEORY with APPLICATIONS ...
www.math.sunysb.edu/ ~irwin/ mat311S01/ index.html

Literatura iz teorije brojeva
kh Rosen: Elementary Number Theory and Its Applications, Addison Wesley, 1992. ..... M. Filaseta: Elementary Number Theory, University of South Carolina ...
web.math.hr/ ~duje/ literatura.html

No. Theory Refs 2007 typeset
Koshy, Thomas, Elementary Number Theory with Applications (Second Edition), .... An interesting and unusual presentation of elementary number theory, ...
www.math.wayne.edu/ ~drucker/ nothyrefs2007.pdf

PROBLEMS IN ELEMENTARY NUMBER THEORY Hojoo Lee, God does ...
PROBLEMS IN ELEMENTARY NUMBER THEORY. 1. Introduction. The heart of Mathematics is its problems. Paul Halmos. 1. Introduction Number Theory is a beautiful ...
www.math.uu.nl/ people/ beukers/ getaltheorie/ pen0795.pdf

math_class: Number Theory 101 (Introduction)
Burton, David M. Elementary Number Theory: Fifth Edition. mcgraw-Hill Higher Education, Boston, ... Elementary Number Theory. Springer-Verlag, London, 1998. ...
www.csh.rit.edu/ ~pat/ math/ series/ nt/