By Carl B. Boyer, Uta C. Merzbach

The up to date new version of the vintage and entire consultant to the background of arithmetic. (**Third Edition**)

For greater than 40 years, A background of arithmetic has been the reference of selection for these seeking to know about the attention-grabbing background of humankind's dating with numbers, shapes, and styles. This revised variation positive aspects updated insurance of subject matters equivalent to Fermat's final Theorem and the Poincaré Conjecture, as well as fresh advances in parts similar to finite workforce concept and computer-aided proofs.

• Distills millions of years of arithmetic right into a unmarried, approachable volume

• Covers mathematical discoveries, recommendations, and thinkers, from old Egypt to the present

• comprises updated references and an intensive chronological desk of mathematical and common old developments.

Whether you're attracted to the age of Plato and Aristotle or Poincaré and Hilbert, even if you must recognize extra concerning the Pythagorean theorem or the golden suggest, A background of arithmetic is a necessary reference that can assist you discover the brilliant background of arithmetic and the boys and ladies who created it.

**Read Online or Download A History of Mathematics PDF**

**Similar mathematics books**

**The Loom of God: Tapestries of Mathematics and Mysticism**

From the mysterious cult of Pythagoras to the notable mechanics of Stonehenge to the “gargoyles” and fractals on today’s desktops, arithmetic has continuously been a robust, even divine strength on this planet. In a full of life, clever synthesis of math, mysticism, and technological know-how fiction, Clifford Pickover explains the everlasting magic of numbers.

**Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation (Pragmatic Programmers)**

Mathematics is beautiful--and it may be enjoyable and interesting in addition to sensible. solid Math is your advisor to a couple of the main interesting issues from thousand years of arithmetic: from Egyptian fractions to Turing machines; from the genuine which means of numbers to evidence timber, staff symmetry, and mechanical computation. If you've ever questioned what lay past the proofs you struggled to accomplish in highschool geometry, or what limits the services of machine in your table, this can be the e-book for you.

Why do Roman numerals persist? How can we understand that a few infinities are greater than others? and the way will we be aware of for convinced a software will ever end? during this fast moving travel of recent and not-so-modern math, desktop scientist Mark Chu-Carroll explores the various maximum breakthroughs and disappointments of greater than thousand years of mathematical proposal. there's pleasure and wonder in arithmetic, and in additional than dozen essays drawn from his well known "Good Math" web publication, you'll locate strategies, proofs, and examples which are frequently fabulous, counterintuitive, or simply simple weird.

Mark starts off his trip with the fundamentals of numbers, with an pleasing journey throughout the integers and the ordinary, rational, irrational, and transcendental numbers. The voyage keeps with a glance at a few of the oddest numbers in arithmetic, together with 0, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and carrying on with fractions. After a deep dive into smooth good judgment, together with an creation to linear common sense and the logic-savvy Prolog language, the journey concludes with a journey of contemporary set thought and the advances and paradoxes of contemporary mechanical computing.

in case your highschool or university math classes left you greedy for the interior that means at the back of the numbers, Mark's booklet will either entertain and enlighten you.

**Everything and More: A Compact History of Infinity**

"A gripping advisor to the fashionable taming of the endless. "—The ny occasions. With a brand new creation through Neal Stephenson. Is infinity a sound mathematical estate or a meaningless abstraction? David Foster Wallace brings his highbrow ambition and attribute bravura sort to the tale of the way mathematicians have struggled to appreciate the countless, from the traditional Greeks to the nineteenth-century mathematical genius Georg Cantor's counterintuitive discovery that there has been a couple of form of infinity.

- Mathematik kompakt: für Ingenieure und Informatiker (Springer-Lehrbuch) (German Edition)
- Estimates for solutions of nonstationary Navier-Stokes equations
- Principles of Harmonic Analysis (2nd Edition) (Universitext)
- Problems for computer solutions using BASIC (Winthrop computer systems series)

**Extra info for A History of Mathematics**

**Sample text**

It is terser; he generally provides less in the way of supporting work. Archimedes requires more from the reader even when he is solving a simple problem. But it is more than a matter of style. The problems that he solves are generally harder than those of most of his contemporaries. Archimedes solved problems that were commensurate with his exceptional abilities. But one last reason that Archimedes had less influence on the history of science and mathematics than many of his contemporaries is simply the result of bad luck.

To understand what they did and the difficulties that they overcame, we examine their method of predicting the position of the Sun along the ecliptic. First, however, let us review a few facts about solar and planetary motions. When we picture Earth revolving around the Sun, many of us imagine our planet moving along a circular orbit. That is almost correct, but Earth’s orbit is not circular. It is almost circular. Earth’s orbital path is an ellipse, and because it is elliptic, part of its orbital path lies closer to the Sun and part lies farther away.

A great deal more work remains to be done. These tablets represent one of the first attempts— maybe the first attempt—in the history of humankind to use mathematics what they accomplished can be difficult. The Mesopotamians developed one of the first mathematical models in the history of science; they were able to use this model to predict eclipses, both lunar and solar, with moderate accuracy, and they learned to predict the motions of the Moon, Sun, and planets. All of these models are complicated by the fact that the Mesopotamians did not look below the surface.