A Course in Number Theory and Cryptography

A Course in Number Theory and Cryptography

Neal Koblitz

78,75 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2012
ISBN:
9781461264422
78,75 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.

Artículos relacionados

  • Fearless Symmetry
    Avner Ash / Robert Gross
    Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetri...
    Disponible

    45,64 €

  • The Gross-Zagier Formula on Shimura Curves
    Shou-Wu Zhang / Wei Zhang / Xinyi Yuan
    This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in ter...
  • Prime-Detecting Sieves (LMS-33)
    Glyn Harman
    This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre’s form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably...
  • Prime-Detecting Sieves (LMS-33)
    Glyn Harman
    This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre’s form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably...
    Disponible

    114,46 €

  • Non-abelian Fundamental Groups and Iwasawa Theory
    ...
    Disponible

    109,19 €

  • The largest known prime number
    Philipi Schneider
    Note: This is no longer the largest known prime number. The Mersenne project announced the discovery of a larger prime number on October 21, 2024. We have already published a new edition with the newly discovered number.A prime number is a natural number greater than 1 with no divisors other than 1 and itself. According to Euclid’s theorem there are infinitely many prime number...
    Disponible

    35,81 €

Otros libros del autor

  • Random Curves
    Neal Koblitz
    Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic controversies relating to ma...
    Disponible

    105,90 €

  • Towards a Quarter-Century of Public Key Cryptography
    Neal Koblitz
    Towards a Quarter-Century of Public Key Cryptography brings together in one place important contributions and up-to-date research results in this fast moving area. Towards a Quarter-Century of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field. ...
    Disponible

    48,37 €

  • p-adic Numbers, p-adic Analysis, and Zeta-Functions
    NEAL Koblitz
    The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercise...
    Disponible

    66,88 €

  • Towards a Quarter-Century of Public Key Cryptography
    NEAL Koblitz
    Towards a Quarter-Century of Public Key Cryptography brings together in one place important contributions and up-to-date research results in this fast moving area. Towards a Quarter-Century of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field. ...
    Disponible

    134,44 €

  • Algebraic Aspects of Cryptography
    NEAL Koblitz
    From the reviews: 'This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher.' Mathematical Reviews ...
    Disponible

    244,93 €

  • Random Curves
    Neal Koblitz
    Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic c...