Number Theory in Science and Communication With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity /
"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2009.
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Έκδοση: | Fifth Edition. |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- A Few Fundamentals
- The Natural Numbers
- Primes
- The Prime Distribution
- Some Simple Applications
- Fractions: Continued, Egyptian and Farey
- Congruences and the Like
- Linear Congruences
- Diophantine Equations
- The Theorems of Fermat Wilson and Euler
- Permutations Cycles and Derangements
- Cryptography and Divisors
- Euler Trap Doors and Public-Key Encryption
- The Divisor Functions
- The Prime Divisor Functions
- Certified Signatures
- Primitive Roots
- Knapsack Encryption
- Residues and Diffraction
- Quadratic Residues
- Chinese and Other Fast Algorithms
- The Chinese Remainder Theorem and Simultaneous Congruences
- Fast Transformation and Kronecker Products
- Quadratic Congruences
- Pseudoprimes, Möbius Transform, and Partitions
- Pseudoprimes Poker and Remote Coin Tossing
- The Möbius Function and the Möbius Transform
- Generating Functions and Partitions
- From Error Correcting Codes to Covering Sets
- Cyclotomy and Polynomials
- Cyclotomic Polynomials
- Linear Systems and Polynomials
- Polynomial Theory
- Galois Fields and More Applications
- Galois Fields
- Spectral Properties of Galois Sequences
- Random Number Generators
- Waveforms and Radiation Patterns
- Number Theory Randomness and “Art”
- Self-Similarity, Fractals and Art
- Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter.