论文信息 - Elementary Number Theory

Elementary Number Theory

This chapter introduces the basic concepts and results of the elementary theory of numbers. Its purpose is twofold: Provide a solid foundation of elementary number theory for Computational, Algorithmic, and Applied Number Theory of the next two chapters of the book. Provide independently a self-contained text of Elementary Number Theory for Computing, or in part a text of Mathematics for Computing.

Song Y. Yan | S. Yan

[1] Melvyn B. Nathanson,et al. Elementary Methods in Number Theory , 1999 .

[2] He Rose. A course in number theory (2nd Edn) , 1994 .

[3] Joël Rivat,et al. Computing pi(x): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method , 1996, Math. Comput..

[4] T. Apostol. Introduction to analytic number theory , 1976 .

[5] Joseph H. Silverman,et al. The arithmetic of elliptic curves , 1986, Graduate texts in mathematics.

[6] Ramanujachary Kumanduri,et al. Number theory with computer applications , 1997 .

[7] Oystein Ore,et al. Number Theory and Its History , 1949 .

[8] R. Feynman. Simulating physics with computers , 1999 .

[9] R. McEliece. Finite Fields for Computer Scientists and Engineers , 1986 .

[10] A. Baker,et al. A concise introduction to the theory of numbers , 1984 .

[11] R. Mollin. Fundamental number theory with applications , 1998 .

[12] E. Wright,et al. An Introduction to the Theory of Numbers , 1939 .

[13] G. Ellis. Rings and fields , 1992 .

[14] James A. Anderson,et al. Number Theory with Applications , 1996 .

[15] Joseph H. Silverman,et al. A Friendly Introduction to Number Theory , 1996 .

[16] P. Ribenboim. The new book of prime number records , 1996 .

[17] N. Koblitz. Introduction to Elliptic Curves and Modular Forms , 1984 .