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17 Lectures on Fermat Numbers: From Number Theory to Geometry(2001)  무료배송

 
지은이 : Michal Krizek/Florian Luca/Lawrence Somer
출판사 : Springer-Verlag
판수 : first edition
페이지수 : 258
ISBN : 0387953329
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 79,920원 ( 무료배송 )
적립금 : 2,398 Point
     

 
The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.
1. Introduction
2. Fundamentals of Number Theory
3. Basic Properties of Fermat Numbers
4. The Most Beautiful Theorems on Fermat Numbers
5. Primality of Fermat Numbers
7. Factors of Fermat Numbers
8. Connection of Fermat Numbers with Pascal's Triangle
9. Miscellaneous Results
10. The Irrationality of the Sum of Some Reciprocals
11. Fermat Primes and a Diophantine Equation
12. Fermat's Little Theorem, Pseudoprimes, and Superpseudoprimes
13. Generalizations of Fermat Numbers
14. Open Problems
15. Fermat Number Transform and Other Appications
16. The Proof of Gauss's Theorem
17. Euclidean Construction of the Regular Heptadecagon
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