Number Theory with Applications
©1997 |Pearson | Out of print
James A. Anderson, University of South Carolina-Spartanburg
James M. Bell, Milliken & Company
©1997 |Pearson | Out of print
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For undergraduate courses in Number Theory for mathematics, computer science, and engineering majors.
Ideal for students of varying mathematical sophistication, this text provides a self-contained logical development of basic number theory, supplemented with numerous applications and advanced topics.
Presents applications in each chapter where the supporting theory is developed. Pg.___
Treats applications in depth — with substantive discussion of the context of each application. Pg.___
Draws applications from many areas — e.g., physics, statistics, computer science, mathematics, astronomy, cryptography, and mechanics. Pg.___
0. SETS.
1. Elementary Properties of Integers.
2. PRIMES.
3. CONGRUENCES AND THE FUNCTION.
4. ARITHMETIC FUNCTIONS.
5. CONTINUED FRACTIONS.
6. BERTRAND'S POSTULATE.
7. DIOPHANTINE EQUATIONS.
APPENDIX A. LOGIC AND PROOFS.
APPENDIX B. PEANO'S POSTULATES AND CONSTRUCTION OF THE INTEGERS.
APPENDIX C. POLYNOMIALS.
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