Scott J.F. A History of Mathematics: From Antiquity to the Beginning of the 19th Century

Elsevier Science, 2007. - 542 pages. (Studies in the History and Philosophy of Mathematics, Volume 5. ) The year 2007 marks the 300th anniversary of the birth of one of the Enlightenments most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the worlds best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including...

Chelsea Publishing, 1999. - 524 pages. Originally issued in 1893, this popular Fifth Edition covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an inte...

Springer, 1994. - 368 Pages. This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century. It emphasizes the genesis and evolution of both fundamental concepts and computational techniques. The intended audience includes not only students of the history of mathematics, but also the wider mathem...

Springer, 2006. - 376 pages. Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it...

Birkhauser, 2007. - 168 pages. This exposition provides a comprehensive historical account of the intellectual lineage behind the basic concepts, results, and theories of abstract algebra. Prior to the 19th century, the concept of "algebra" strictly referred to the study of the solution of polynomial equations. By the 20th century it came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. Abstract algebra c...

Mathematical Association of America, 2010. - 381 pages. An Episodic History of Mathematics delivers a series of snapshots of the history of mathematics from ancient times to the twentieth century. The intent is not to be an encyclopedic history of mathematics, but to give the reader a sense of mathematical culture and history. The book abounds with stories, and personalities play a strong role. The book will introduce readers to some of the gene...

Princeton University Press, 1994. - 223 pages. The story of pi has been told many times, both in scholarly works and in popular books. But its close relative, the number e, has fared less well. Despite the central role it plays in mathematics, its history has never before been written for a general audience. The present work fills this gap. Geared to the reader with only a modest background in mathematics, the book describes the story of e from...

Princeton University Press, 2006. - 224 pages. The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure a...

Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which...

Facts on File, 2011. - 217 pages. For millennia, Euclidean geometry, the geometry of the ancient Greeks, set the standard for rigor in mathematics—it was the only branch of mathematics that had been developed axiomatically. Euclidean geometry, most philosophers and mathematicians agreed, was the language of mathematics. However, early in the 19th century, mathematicians developed geometries very different from Euclid’s simply by choosing axioms...