Sources in the Development of Mathematics

Series and Products from the Fifteenth to the Twenty-first Century

Nonfiction, Science & Nature, Mathematics, History
Cover of the book Sources in the Development of Mathematics by Ranjan Roy, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ranjan Roy ISBN: 9781139635516
Publisher: Cambridge University Press Publication: June 13, 2011
Imprint: Cambridge University Press Language: English
Author: Ranjan Roy
ISBN: 9781139635516
Publisher: Cambridge University Press
Publication: June 13, 2011
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Myeloma by Ranjan Roy
Cover of the book The Atonement by Ranjan Roy
Cover of the book The Mammalian Jaw by Ranjan Roy
Cover of the book From Benito Mussolini to Hugo Chavez by Ranjan Roy
Cover of the book Flow in Porous Rocks by Ranjan Roy
Cover of the book A Concise History of New Zealand by Ranjan Roy
Cover of the book 'Trash,' Censorship, and National Identity in Early Twentieth-Century Germany by Ranjan Roy
Cover of the book Principles of Digital Communication by Ranjan Roy
Cover of the book The Life of Isaac Newton by Ranjan Roy
Cover of the book Schopenhauer: Parerga and Paralipomena: Volume 2 by Ranjan Roy
Cover of the book On Cultural Diversity by Ranjan Roy
Cover of the book The Cambridge Companion to Native American Literature by Ranjan Roy
Cover of the book The Cambridge Companion to Muhammad by Ranjan Roy
Cover of the book Phenomenology of the Human Person by Ranjan Roy
Cover of the book The Lawyer-Judge Bias in the American Legal System by Ranjan Roy
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy