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100301s2009 gw | s |||| 0|eng d |
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|a 9783540852988
|9 978-3-540-85298-8
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|a 10.1007/978-3-540-85298-8
|2 doi
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|a QC5.53
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|a PHU
|2 bicssc
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|a SCI040000
|2 bisacsh
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|a 530.15
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|a Schroeder, Manfred.
|e author.
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|a Number Theory in Science and Communication
|b With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity /
|c by Manfred Schroeder.
|h [electronic resource] :
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| 250 |
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|a Fifth Edition.
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2009.
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| 300 |
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|a XXIV, 431 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Introduction -- The Natural Numbers -- Primes -- The Prime Distribution -- Fractions: Continued, Egyptian and Farey -- Linear Congruences -- Diophantine Equations -- The Theorems of Fermat, Wilson and Euler -- Permutation, Cycles and Derangements -- 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 Mb̲ius Function and the Mb̲ius Transform -- From Error Correction Codes to Covering Sets -- 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".
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|a "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 golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions <U+0013> "I continue to find [Schroeder<U+0019>s] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications of number theory and written with great clarity and humor.<U+0019> Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor <U+0013> useful mathematics outside the formalities of theorem and proof." Martin Gardner
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| 650 |
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|a Physics.
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| 650 |
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|a Coding theory.
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| 650 |
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|a Number theory.
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| 650 |
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|a Distribution (Probability theory).
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| 650 |
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|a Mathematical physics.
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| 650 |
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4 |
|a Physics.
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| 650 |
2 |
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|a Mathematical Methods in Physics.
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| 650 |
2 |
4 |
|a Numerical and Computational Methods.
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| 650 |
2 |
4 |
|a Coding and Information Theory.
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| 650 |
2 |
4 |
|a Probability Theory and Stochastic Processes.
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| 650 |
2 |
4 |
|a Number Theory.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783540852971
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| 856 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-85298-8
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| 912 |
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|a ZDB-2-PHA
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| 950 |
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|a Physics and Astronomy (Springer-11651)
|