Number Theory

Download E-books Prime Numbers: The Most Mysterious Figures in Math PDF

By David Wells

A interesting trip into the mind-bending international of top numbers
Cicadas of the genus Magicicada look as soon as each 7, thirteen, or 17 years. Is it only a accident that those are all major numbers? How do dual primes range from cousin primes, and what on the earth (or within the brain of a mathematician) should be horny approximately major numbers? What did Albert Wilansky locate so interesting approximately his brother-in-law's mobile number?
Mathematicians were asking questions about top numbers for greater than twenty-five centuries, and each solution turns out to generate a brand new rash of questions. In top Numbers: the main Mysterious Figures in Math, you are going to meet the world's such a lot talented mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you can find a host of distinctive insights and artistic conjectures that experience either enlarged our realizing and deepened the mystique of top numbers. This accomplished, A-to-Z advisor covers every little thing you ever desired to know--and even more that you just by no means suspected--about major numbers, including:
* The unproven Riemann speculation and the ability of the zeta function
* The ""Primes is in P"" algorithm
* The sieve of Eratosthenes of Cyrene
* Fermat and Fibonacci numbers
* the good web Mersenne top Search
* and masses, a lot more

Show description

Read Online or Download Prime Numbers: The Most Mysterious Figures in Math PDF

Best Number Theory books

Lectures on the Theory of Algebraic Numbers (Graduate Texts in Mathematics)

. . . if one desires to make development in arithmetic one should still research the masters now not the students. N. H. Abel Heeke used to be one among the masters, and actually, the research of Heeke L­ sequence and Heeke operators has completely embedded his identify within the textile of quantity idea. it's a infrequent prevalence whilst a grasp writes a easy publication, and Heeke's Lectures at the thought of Algebraic Numbers has develop into a vintage.

Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2)

Kummer's paintings on cyclotomic fields cleared the path for the improvement of algebraic quantity concept in most cases through Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. despite the fact that, the good fortune of this basic concept has tended to vague specific proof proved via Kummer approximately cyclotomic fields which lie deeper than the overall concept.

A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (v. 84)

This well-developed, obtainable textual content info the old improvement of the topic all through. It additionally presents wide-ranging insurance of important effects with relatively simple proofs, a few of them new. This moment variation includes new chapters that supply a whole facts of the Mordel-Weil theorem for elliptic curves over the rational numbers and an outline of modern development at the mathematics of elliptic curves.

Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics (Problem Books in Mathematics)

Mathematicians and non-mathematicians alike have lengthy been eager about geometrical difficulties, rather those who are intuitive within the feel of being effortless to nation, probably via an easy diagram. every one part within the booklet describes an issue or a bunch of similar difficulties. often the issues are able to generalization of edition in lots of instructions.

Extra resources for Prime Numbers: The Most Mysterious Figures in Math

Show sample text content

Rated 4.30 of 5 – based on 33 votes