Sources In The Development Of Mathematics PDF Download
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Author | : Ranjan Roy |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2011-06-13 |
Genre | : Mathematics |
ISBN | : 1139497758 |
Download Sources in the Development of Mathematics Book in PDF, ePub and Kindle
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.
Author | : John Fauvel |
Publisher | : |
Total Pages | : 0 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : |
Download The History of Mathematics Book in PDF, ePub and Kindle
Author | : A.R. Dorling |
Publisher | : Butterworth-Heinemann |
Total Pages | : 273 |
Release | : 2014-05-20 |
Genre | : Mathematics |
ISBN | : 1483164721 |
Download Use of Mathematical Literature Book in PDF, ePub and Kindle
Use of Mathematical Literature discusses the bibliographic concerns of mathematical literature. The book is comprised of 14 chapters that cover characteristics of mathematical literature and provide reviews of some of the major literature in various mathematical fields. The text first discusses the role of the literature in mathematics, and then proceeds to tackling major organizations, journals, and reference materials. Next, the book provides critical accounts of the major literature in various mathematical fields, such as combinatorics, topology, and mathematical programming. The book will be of great use to students, practitioners, and researchers of mathematics. Other profession handling math literature, such as teachers, librarians, and translators will also find this book invaluable.
Author | : Dirk Jan Struik |
Publisher | : Princeton University Press |
Total Pages | : 444 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 1400858003 |
Download A Source Book in Mathematics, 1200-1800 Book in PDF, ePub and Kindle
These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Brian Evans |
Publisher | : John Wiley & Sons |
Total Pages | : 197 |
Release | : 2014-02-24 |
Genre | : Mathematics |
ISBN | : 1118853970 |
Download The Development of Mathematics Throughout the Centuries Book in PDF, ePub and Kindle
Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested
Author | : Kirsti Andersen |
Publisher | : Springer Science & Business Media |
Total Pages | : 837 |
Release | : 2008-11-23 |
Genre | : Mathematics |
ISBN | : 0387489460 |
Download The Geometry of an Art Book in PDF, ePub and Kindle
This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
Author | : John Stillwell |
Publisher | : American Mathematical Soc. |
Total Pages | : 172 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780821809228 |
Download Sources of Hyperbolic Geometry Book in PDF, ePub and Kindle
Presents the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics.
Author | : Thomas Hawkins |
Publisher | : Springer Science & Business Media |
Total Pages | : 578 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461212022 |
Download Emergence of the Theory of Lie Groups Book in PDF, ePub and Kindle
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.
Author | : Annette Imhausen |
Publisher | : Princeton University Press |
Total Pages | : 248 |
Release | : 2020-10-13 |
Genre | : Mathematics |
ISBN | : 0691209073 |
Download Mathematics in Ancient Egypt Book in PDF, ePub and Kindle
A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.
Author | : Craig Smorynski |
Publisher | : Springer Science & Business Media |
Total Pages | : 273 |
Release | : 2007-12-10 |
Genre | : Mathematics |
ISBN | : 0387754806 |
Download History of Mathematics Book in PDF, ePub and Kindle
General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.