عنوان

Number theory in science and communication :

(Number (ISBN

3662034301

(Number (ISBN

9783662034309

Number

b579305

Title Proper

Number theory in science and communication :

General Material Designation

[Book]

Other Title Information

with applications in cryptography, physics, digital information, computing, and self-similarity

First Statement of Responsibility

M.R. Schroeder.

Edition Statement

Third edition

Place of Publication, Distribution, etc.

Berlin ; New York

Name of Publisher, Distributor, etc.

Springer, [

Date of Publication, Distribution, etc.

1997] ©1997

Specific Material Designation and Extent of Item

(xxii, 362 pages) : illustrations (some color)

Series Title

Springer series in information sciences, 7.

Text of Note

Introduction --; The Natural Numbers --; Primes --; The Prime Distribution --; Fractions: Continued, Egyptian and Farey --; Linear Congruences --; Diophantine Equations --; The Theorems of Fermat, Wilson and Euler --; Euler Trap Doors and Public-Key Encryption --; The Divisor Functions --; The Prime Divisor Functions --; Certified Signatures --; Primitive Roots --; Knapsack Encryption --; Quadratic Residues --; The Chinese Remainder Theorem and Simultaneous Congruences --; Fast Transformations and Kronecker Products --; Quadratic Congruences --; Psudoprimes, Poker and Remote Coin Tossing --; The Mbius Function and the Mbius Transform --; Generating Functions and Partitions --; Cyclotomic Polynomials --; Linear Systems and Polynomials --; Polynomial Theory --; Galois Fields --; Spectral Properties of Galois Sequences --; Random Number Generators --; Waveforms and Radiation Patterns --; Number Theory, Randomness and "Art."

Text of Note

Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.

Getaltheorie.

Nombres, Théorie des.

Number theory.

M.R. Schroeder.

M R Schroeder

Electronic name

[Book]

Y