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Catalogue Information
Field name	Details
Dewey Class	510.9
Title	Journey through Mathematics ([Ebook]) : Creative Episodes in Its History / by Enrique A. González-Velasco
Author	González-Velasco, Enrique A.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2011.
Physical Details	XI, 466 pages:. 146 illus. : online resource.
ISBN	9780387921549
Summary Note	This book offers an accessible and in-depth look at some of the mostÂ important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is theÂ only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before beenÂ translated into English. Their interpretation is thorough and readable, andÂ offers an excellent background for teachers of high school mathematics as wellÂ as anyone interested in the history of math. Features of this book include: -Dozens of diagrams and photographs of original sources -Original translation of Rafael Bombelli's contribution to the study ofÂ complex numbers -A detailed history of the calculus as it was being written, and a new analysis of Leibniz's writings on the subject -The first English translation of the first published proof of the fundamental theorem of Calculus, given by James Gregory in 1668 -An accessible discussion of James Gregory's work, including his invention ofÂ Taylor series forty years before Taylor -An original English translation of extended portions of works by JosÃ©Â AnastÃ¡cio da Cunha, a little known but important contributor to the convergenceÂ of series and the differential calculus, some of whose ideas were later attributed to Cauchy:
Contents note	Preface -- 1 Trigonometry -- 2 Logarithms -- 3 Complex Numbers -- 4 Infinite Series -- 5 The Calculus -- 6 Convergence -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-387-92154-9
Links to Related Works	Subject References: History of Mathematical Sciences . Mathematics . Mathematics, general . Authors: González-Velasco, Enrique A. . Corporate Authors: SpringerLink (Online service) . Classification: 510.9 . 510.9 (DDC 23) .

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Journey through Mathematics: Creative Episodes in Its History /

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