The numbers that we call Arabic are so familiar throughout Europe and the Americas that it can be difficult to realize that their general acceptance in commercial transactions is a matter of only the last four centuries and they still remain unknown in parts of the world.In this volume, one of the earliest texts to trace the origin and development of our number system, two distinguished mathematicians collaborated to bring together many fragmentary narrations to produce a concise hi...

The Hindu-Arabic Numerals by David Eugene Smith.

Ancient Greek terminology continues to shape contemporary discourse; hubris is a case in point. Typically seen as the catastrophic yet common tendency to reach too high, only to fall, it remains a fixture in the contemporary discourse of business and politics. But hubris has also become a term of art for researchers in a number of academic disciplines; and it remains a hotly contested topic in Classics. This unique volume of essays explores the connections, continuities and differences bet...

The Teaching of Geometry by David Eugene Smith is an educational text focused on the methods and principles of teaching geometry. Smith emphasizes the importance of understanding geometric concepts deeply, rather than merely memorizing rules. He advocates for an approach that encourages students to engage with geometry through reasoning, exploration, and visual representation.The book provides practical guidance for educators on how to present geometric topics in a clear and meaningful way...

This work presents, in English translation, the great discoveries in mathematics from the Renaissance to the end of the nineteenth century. You are able to read the writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others, exactly as the world saw them for the first time. Succinct selections from 125 different treatises and articles, most of them unavailable elsewhere in English, offer a vivid, firsthand story of the growth of mathematics. The articles are grouped in five sectio...

"The Hindu-Arabic Numerals" by Louis Charles Karpinski and David Eugene Smith is a comprehensive exploration of the numeral system that has become the foundation of modern mathematics. The book delves into the historical development of these numerals, tracing their origins from ancient civilizations through their adoption in Europe. Karpinski and Smith meticulously detail the evolution of numerical concepts, emphasizing the significance of the Hindu-Arabic system in facilitating calculatio...

An original history of man's greatest adventure: his search to discover the world around him. In the compendious history, Boorstin not only traces man's insatiable need to know, but also the obstacles to discovery and the illusion that knowledge can also put in our way. Covering time, the earth and the seas, nature and society, he gathers and analyzes stories of the man's profound quest to understand his world and the cosmos.

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevan...

This brief outline of the comparatively meagre information we possess on what at one time was the most widely spread mystery-institution in the Roman empire, is introductory to the following small volume which will deal with the only Mithriac Ritual known to us. In dealing with this exceedingly instructive Ritual I found that the limits of one booklet would not suffice for an adequate introduction; and without this, I fear, many readers will not be in a position to appreciate the Ritual at...

Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics.Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. This book serves as a comprehensive guide to the c...

Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer.This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern read...

Acknowledged as one of the greatest achievements of modern scholarship, Arnold Toynbee's A Study of History is a ten-volume analysis of the rise and fall of human civilizations. Contained in two volumes, D.C. Somervell's abridgement of this magnificent enterprise preserves the method, atmosphere, texture, and, in many instances, the very words of the original. First published in 1947 and 1957, these two volumes are themselves a great historical achievement. Volume 2, which abridge...