Developments In Mathematics
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The Development of Mathematics
Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.
Sources in the Development of Mathematics
Author: Ranjan Roy
language: en
Publisher: Cambridge University Press
Release Date: 2011-06-13
The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.
Development of Mathematics 1950-2000
Author: Jean-Paul Pier
language: en
Publisher: Springer Science & Business Media
Release Date: 2000-09
This book not only attempts a history of contemporary mathematics, but also provides some authoritative guidance through the maze of mathematical theories. It addresses a range of topics from the personal viewpoint of more than forty mathematicians, most of them active researchers and renowned specialists in their fields.