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Author : Ivor Owen Grattan-Guinness
Release : 1969
Genre : Academic theses
Kind : eBook
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Book Synopsis The historical development of mathematical analysis from Euler to Riemann by : Ivor Owen Grattan-Guinness
Download or read book The historical development of mathematical analysis from Euler to Riemann written by Ivor Owen Grattan-Guinness. This book was released on 1969. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Grattan-Guinness
Release : 1970
Genre : Mathematics
Kind : eBook
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Book Synopsis The Development of the Foundations of Mathematical Analysis from Euler to Riemann by : I. Grattan-Guinness
Download or read book The Development of the Foundations of Mathematical Analysis from Euler to Riemann written by I. Grattan-Guinness. This book was released on 1970. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.H.Jr. Edwards
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 305/5 ( reviews)
Book Synopsis The Historical Development of the Calculus by : C.H.Jr. Edwards
Download or read book The Historical Development of the Calculus written by C.H.Jr. Edwards. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. The scope of this account can be delineated partly by comparison with previous works in the same general area. M. E. Baron's The Origins of the Infinitesimal Calculus (1969) provides an informative and reliable treat ment of the precalculus period up to, but not including (in any detail), the time of Newton and Leibniz, just when the interest and pace of the story begin to quicken and intensify. C. B. Boyer's well-known book (1949, 1959 reprint) met well the goals its author set for it, but it was more ap propriately titled in its original edition-The Concepts of the Calculus than in its reprinting.
Author : Hans Niels Jahnke
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 239/5 ( reviews)
Book Synopsis A History of Analysis by : Hans Niels Jahnke
Download or read book A History of Analysis written by Hans Niels Jahnke. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Author : Nathan Glazer
Release : 1970
Genre :
Kind : eBook
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Book Synopsis The Development of the Foundations of Mathematical Analysis from Euler to Riemann by : Nathan Glazer
Download or read book The Development of the Foundations of Mathematical Analysis from Euler to Riemann written by Nathan Glazer. This book was released on 1970. Available in PDF, EPUB and Kindle. Book excerpt:
