The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups Publisher: Cambridge University Press | ISBN: 0521888514 | edition 2008 | PDF | 316 pages | 13,6 mb Among the modern methods used to study prime numbers, the ’sieve’ has been one of the most efficient. Originally conceived by Linnik in 1941, the ‘large sieve’ has developed extensively since the 1960s, with a recent realization that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves

Continue reading " The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups "

Michael D. Fried, Moshe Jarden, “Field Arithmetic, 2 Ed” Springer | 2004 | ISBN: 354022811X | 780 pages | PDF | 10,8 MB

Continue reading " Field Arithmetic, 2 Ed (repost) "

Field Arithmetic By Michael D. Fried, Moshe Jarden Publisher: Springer 2008 | 792 Pages | ISBN: 3540772693 | PDF | 4 MB

Continue reading " Field Arithmetic (Repost) "

BigNum Math: Implementing Cryptographic Multiple Precision Arithmetic Publisher: Syngress | ISBN: 1597491128 | edition 2006 | PDF | 315 pages | 10,6 mb Bignum math is the backbone of modern computer security algorithms. It is the ability to work with hundred-digit numbers efficiently using techniques that are both elegant and occasionally bizarre. This book introduces the reader to the concept of bignum algorithms and proceeds to build an entire library of functionality from the ground up.

Continue reading " BigNum Math: Implementing Cryptographic Multiple Precision Arithmetic (Repost) "

Handbook of Floating-Point Arithmetic By Jean-Michel Muller, Nicolas Brisebarre and more Publisher: Birkhäuser Boston 2009 | 572 Pages | ISBN: 081764704X | PDF | 6 MB

Continue reading " Handbook of Floating-Point Arithmetic (Repost) "

J.

Continue reading " L-Functions and Arithmetic (London Mathematical Society Lecture Note Series) "

Jean-Michel Muller, Nicolas Brisebarre, Florent de Dinechin, Claude-Pierre Jeannerod, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol, Damien Stehlé, Serge Torres, “Handbook of Floating-Point Arithmetic” Birkhäuser Boston | 2009 | ISBN: 081764704X | 572 pages | PDF | 5,7 MB

Continue reading " Handbook of Floating-Point Arithmetic "

The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, 2nd Edition Northwestern University Press | December 1, 1980 | ISBN-10: 0810106051 | 144 pages | PDF | 5.42 mb This book written by Gottlob Frege is one of the most influential books of the 20th century philosophy of mathematics. In here Frege establishes the nature of arithmetics as founded in logic, which is his logicist proposal.

Continue reading " The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, 2nd Edition "

Michael Bulmer, “Francis Galton: Pioneer of Heredity and Biometry” Publisher: The Johns Hopkins University Press | 2003 | ISBN 0801874033 | PDF | 376 pages | 1.7 MB “Sir Francis Galton is a neglected scientific genius.

Continue reading " Francis Galton: Pioneer of Heredity and Biometry "