02580    a2200229   4500003000500000005001700005010001600022020002900038040000900067082001400076100002900090245016600119250001700285260005100302300003400353440005700387505171500444650002502159942002402184999001902208952012302227Nust20221117123414.0  a   85017260  a0387158006 (U.S. : pbk.)  cNust00a512.7,SCH1 aSchroeder, M. R.910284010aNumber theory in science and communication :bwith applications in cryptography, physics, digital information, computing, and self-similarity / cM.R. Schroeder.  a2nd enl. ed.  aBerlin ;aNew York :bSpringer-Verlag,cc1986.  axix, 374 p. :bill. ;c24 cm. 0aSpringer series in information sciences ;v79101218  aPart i: A Few Fundamental, Introduction (Page-1), The Natural Numbers (Page-17), Primes (Page-26), The Prime Distribution (Page-40), Part ii: Some Simple Applications,  Fraction: Continued, Egyptian and Farey (Page-55), Part iii: Congruence’s and  the like ,  Linear Congruence’s (Page-87), Diophantine Equations (Page-95), The Theorems of Fermat , Wilson and Euler (Page-111), Part iv: Cryptography and Divisors ,  Euler trap Doors and Publics and Public-Key Encryption (Page-118), The Divisor Functions (Page-127), The Prime Divisor Functions (Page-135), Certified Signatures (Page-149), Primitive Roots (Page-151), Knapsack Encryption (Page-168), Part V: Residues and Diffraction ,   Quadratic Residues (Page-172), Part VI: Chinese and Other Fast Algorithms,  The Chinese Remainder Theorem and Simultaneous Congruence’s (Page-186), Fast Transformation and Kronecker Products  (Page-196), Quadratic Congruence’s (Page-201), Part vii: Pseudo primes, Mobius Transform, and  Partitions ,  Pseudo primes, Poker and Remote Coin Tossing (Page-203), The Mobius Function and the Mobius Transform (Page-215), Generating Functions and Partitions (Page-223), Part viii: Cyclostomes and Polynomials ,  Cyclotomic Polynomials (Page-232), Linear Systems and Polynomials (Page-249), Polynomial Theory (Page-253), Part ix : Galois Fields and More Application ,  Galois Fields (Page-259), Spectral Properties of Galois Sequences(Page-274), Random Number Generations (Page-289), Waveforms and Radiation Patterns (Page-297) Number Theory, Randomness and Art (Page-307), Part x: Self-Similarity, Fractals and Art ,  Self-similarity , Fractals, Deterministic Chaos and New Sate Of Matter (Page-315), Appendix (Page-341).  0aNumber theory.93455  cREF2ddck512.7,SCH  c188721d188721  00102ddc4070aMCSbMCScGENd2016-12-12o512.7,SCHpMCS26454r2016-12-08w2016-12-12yBKzAlmirah No.11, Shelf No.4