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Call number: | SPRINGER-2009-9783540852988:ONLINE Show nearby items on shelf |

Title: | Number Theory in Science and Communication [electronic resource] : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |

Author(s): |
Manfred Schroeder |

Date: | 2009 |

Edition: | Fifth Edition |

Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |

Size: | 1 online resource |

Note: | Springer e-book platform |

Note: | Springer 2013 e-book collections |

Note: | 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 andhighlights important conc epts 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 oneof the main themes of the book. This revised fi fth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions I continue to find[Schroeders] Number Theory a goldmine of valuable information. It is a m arvellous book, in touch with the most recent applications of number theory and written with great clarity and humor. 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 useful mathematics outside the formalities of theorem and proof. Martin Gardner |

Note: | Springer eBooks |

Contents: | 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 Rem | |

ISBN: | 9783540852988 |

Series: | e-books |

Series: | SpringerLink (Online service) |

Series: | Physics and Astronomy (Springer-11651) |

Keywords: | Coding theory , Number theory , Distribution (Probability theory) , Mathematical physics |

Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |

More info: | Amazon.com |

More info: | Barnes and Noble |

Full Text: | Click here |

Location: | ONLINE |

Call number: | SPRINGER-2006-9783540265986:ONLINE Show nearby items on shelf |

Title: | Number Theory in Science and Communication [electronic resource] : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |

Author(s): |
Manfred R Schroeder |

Date: | 2006 |

Edition: | Fourth Edition |

Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |

Size: | 1 online resource |

Note: | Springer e-book platform |

Note: | Springer 2013 e-book collections |

Note: | 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 andhighlights important conc epts 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 oneof the main themes of the book. This revised fo urth 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. From reviews of earlier editions I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications ofnumber theory and written with great clarity and humor. 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 usefulmathematics outside the formalities of theorem and proof. Martin Gardner |

Note: | Springer eBooks |

Contents: | 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 Transformation and Kronecker Products | |

Quadratic Congruences | |

Pseudoprimes, Poker and Remote Coin Tossing | |

The Mbius Function and the Mbius | |

ISBN: | 9783540265986 |

Series: | e-books |

Series: | SpringerLink (Online service) |

Series: | Springer Series in Information Sciences, 0720-678X : v7 |

Series: | Physics and Astronomy (Springer-11651) |

Keywords: | Coding theory , Number theory , Distribution (Probability theory) , Mathematical physics |

Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |

More info: | Amazon.com |

More info: | Barnes and Noble |

Full Text: | Click here |

Location: | ONLINE |

Call number: | QC75.A45::2015 Show nearby items on shelf |

Title: | Geek physics: Surprising answers to the world's most interesting questions |

Author(s): |
Rhett Allain |

Date: | 2015 |

Publisher: | Nashville, Tennessee: Wiley General Trade |

Size: | 244 p. |

Contents: | Actual physics -- Superheroes -- Real stuff -- Star Wars -- Technology -- Sports physics -- Real space -- Crazy estimations -- Science fiction -- Could this be real? |

ISBN: | 9781118360156 |

Keywords: | Physics Miscellanea. , Physics Problems, exercises, etc. , Physics Humor. |

Availability: | Click
here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |

More info: | Amazon.com |

More info: | Barnes and Noble |

Location: | SUGGESTIONS (email library@fnal.gov if you would like this title added to the Library collection.) |

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