By Leo Corry
The area round us is saturated with numbers. they seem to be a basic pillar of our sleek society, and approved and used with hardly ever a moment concept. yet how did this situation emerge as? during this ebook, Leo Corry tells the tale at the back of the belief of quantity from the early days of the Pythagoreans, up until eventually the flip of the 20th century. He provides an summary of the way numbers have been dealt with and conceived in classical Greek arithmetic, within the arithmetic of Islam, in ecu arithmetic of the center a long time and the Renaissance, through the medical revolution, throughout to the maths of the 18th to the early twentieth century. targeting either foundational debates and useful use numbers, and exhibiting how the tale of numbers is in detail associated with that of the belief of equation, this ebook offers a worthy perception to numbers for undergraduate scholars, lecturers, engineers, specialist mathematicians, and someone with an curiosity within the historical past of arithmetic.
Read or Download A Brief History of Numbers PDF
Best mathematics books
The ebook has no illustrations or index. it may well have a number of typos or lacking textual content. notwithstanding, dealers can obtain a loose scanned replica of the unique infrequent publication from the publisher's site (GeneralBooksClub. com). you may as well preview excerpts of the ebook there. dealers also are entitled to a loose trial club within the common Books membership the place they could choose between greater than one million books at no cost.
This quantity brings jointly articles at the mathematical elements of existence sciences, astrophysics, and nonlinear wave difficulties. It covers theoretical difficulties linked to the apprehensive process, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, darkish topic dynamics, famous person formation, solitary waves, photonics, and nonlinear gentle propagation in periodic media.
- Numerical Linear Algebra
- Beautiful, Simple, Exact, Crazy: Mathematics in the Real World
- Differential Geometry of Curves and Surfaces
- Mastering MATLAB
- The Mathematical Theory of the Apportionment of Representatives
- Equilibrium problems: nonsmooth optimization and variational inequality models
Additional info for A Brief History of Numbers
Parallel to this, however, there was another tradition, usually called “logistics,” that arose mainly in the framework of commerce and day-to-day life. Incidentally, the extant direct evidence of written texts is mostly of this latter kind of mathematics. It appears in relatively extensive, but always fragmentary, papyrus texts. They were written by the Greco-Roman administration in Egypt from the fourth century BCE onwards. So, very little of this kind of more practical mathematics appears in Byzantine manuscripts, whereas, at the same time, very little of the scholarly mathematics has remained in original papyrus texts.
We ﬁnd one nowadays in the world of digital computers, where numbers are internally stored and processed in binary representation, namely, with the help of only two symbols: 0 and 1. More precisely, in electronic computers, numbers are presented and processed as strings of tiny electric charges on some kind of medium, and the presence or absence of a charge is taken to represent either 1 or 0, respectively. This is the same positional principle used in our decimal system, but with base two, and any such string of 0’s and 1’s can be easily translated into decimal representation.
Since Ptolemy adopted the Babylonian sexagesimal system as the main way for presenting astronomical data and computations, this has remained the accepted one in the discipline to this day. He modiﬁed the Babylonian system, though, in a crucial respect, namely, by introducing the symbol O to indicate an empty place in the power representation of the numbers. It is remarkable, however, that in spite of the enormous impact and inﬂuence of his book, only a few astronomers that followed him adopted this particular aspect of his work.
A Brief History of Numbers by Leo Corry