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Euler's number. Why is Eule's number e the basis of natural logarithm functions

Euler's Number. Why Is Eule's Number E the Basis of Natural Logarithm Functions;

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Number Theoretic Methods in Cryptography

values of the discrete logarithm modulo a prime p at suf ficiently many points (the number of points can be as small as pI/He). These functions;

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Number Theory in the Spirit of Liouville

and straightforward manner. The many applications provided include applications to sums of squares, sums of triangular numbers, recurrence;

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Number Theory in the Spirit of Liouville

and straightforward manner. The many applications provided include applications to sums of squares, sums of triangular numbers, recurrence;

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Coimbra Lecture Notes on Orthogonal Polynomials

prove the transcendence of the remarkable constant e (the basis of the natural logarithm). Since then OPSF has developed to a standard subject;

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On the Origin of Natural Constants

Just as the circle number or the Euler constant e determines mathematics, fundamental constants of nature define the scales of the;

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Algorithmic Number Theory

Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role;

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Algorithmic Number Theory

Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role;

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Gamma

, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + ...Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156;

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A Pathway Into Number Theory

Number theory is concerned with the properties of the natural numbers: 1, 2, 3 ... During the seventeenth and eighteenth centuries, number;

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Number in Scripture

First published many decades ago, E.W. BullingerÂ’s Number in Scripture remains a first-rate scholarly study of the importance of numbers;

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Quantum Computational Number Theory

This book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing;

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Primes Of The Form X2+ny2

An exciting approach to the history and mathematics of number theory ...the author s style is totally lucid and very easy to read ...the;

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Algebraic Geometry And Its Applications

include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to;

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Euler Systems. (AM-147), Volume 147

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler;

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Special Functions

Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among;

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Special Functions

Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among;

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Probability

in probability: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and;

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The Legacy of Leonhard Euler

This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major;

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Modular Forms and Functions

Dirichlet series having Euler products. The Fourier coefficients also arise in certain representational problems in the theory of numbers, for;

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Basic Hypergeometric Series and Applications

The theory of partitions, founded by Euler, has led in a natural way to the idea of basic hypergeometric series, also known as Eulerian;

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Gamma

natural logarithm ofn--the numerical value being 0.5772156. . .. But unlike its more celebrated colleaguesp and e, the exact;

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Understanding MATLAB

tries to teach readers how to write MATLAB programmes in order to solve problems. The book will familiarise the reader with a number of inbuilt;

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Introduction to Analysis in One Variable

the backbone of calculus. It begins with a development of the real numbers, building this system from more basic objects (natural numbers;

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