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Author : Carl B. Boyer
Publisher : Courier Corporation
Page : 431 pages
File Size : 50,5 Mb
Release : 2012-10-09
Category : Mathematics
ISBN : 9780486175386
Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 54,5 Mb
Release : 1959
Category : Electronic
ISBN : OCLC:1137412832
Author : Carl Benjamin Boyer
Publisher : Unknown
Page : 0 pages
File Size : 45,9 Mb
Release : 1959
Category : Calculus
ISBN : LCCN:39020567
Author : Carl B. Boyer
Publisher : Unknown
Page : 346 pages
File Size : 45,5 Mb
Release : 1949
Category : Electronic
ISBN : OCLC:265815962
Author : Carl Benjamin Boyer
Publisher : Courier Corporation
Page : 376 pages
File Size : 53,6 Mb
Release : 1949
Category : Calculo - Historia
ISBN : 0486158225
Author : Carl Benjamin Boyer
Publisher : Unknown
Page : 388 pages
File Size : 52,8 Mb
Release : 1949
Category : Calculus
ISBN : UOM:39015021557627
Author : C.H.Jr. Edwards
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461262305
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 : Carl B. Boyer
Publisher : Courier Corporation
Page : 306 pages
File Size : 46,5 Mb
Release : 2012-06-28
Category : Mathematics
ISBN : 9780486154510
This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.
Author : Carl Benjamin Boyer
Publisher : Unknown
Page : 368 pages
File Size : 50,8 Mb
Release : 1939
Category : Mathematics
ISBN : STANFORD:36105033159695
Provides a critical account of the creation of the fundamental ideas of calculus from their inception to the formulation of these in the concepts familiar to students of the elements of mathematical analysis.
Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 43,8 Mb
Release : 2011-01-11
Category : Mathematics
ISBN : 9780470525487
The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Author : David M. Bressoud
Publisher : Princeton University Press
Page : 242 pages
File Size : 53,5 Mb
Release : 2021-05-04
Category : Mathematics
ISBN : 9780691218786
Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.
Author : Joseph W. Dauben,Christoph J. Scriba
Publisher : Springer Science & Business Media
Page : 776 pages
File Size : 52,8 Mb
Release : 2002-09-23
Category : Mathematics
ISBN : 3764361670
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : American Mathematical Society
Page : 399 pages
File Size : 44,6 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781470470036
Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
Author : Niccol- Guicciardini
Publisher : Cambridge University Press
Page : 393 pages
File Size : 50,9 Mb
Release : 2021-07-22
Category : History
ISBN : 9781108834964
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
Author : David Cahan
Publisher : University of Chicago Press
Page : 469 pages
File Size : 49,5 Mb
Release : 2003-09-15
Category : History
ISBN : 9780226089287
During the nineteenth century, much of the modern scientific enterprise took shape: scientific disciplines were formed, institutions and communities were founded, and unprecedented applications to and interactions with other aspects of society and culture occurred. In this book, eleven leading historians of science assess what their field has taught us about this exciting time and identify issues that remain unexamined or require reconsideration. They treat both scientific disciplines—biology, physics, chemistry, the earth sciences, mathematics, and the social sciences—in their specific intellectual and sociocultural contexts as well as the broader topics of science and medicine; science and religion; scientific institutions and communities; and science, technology, and industry. Providing a much-needed overview and analysis of a rapidly expanding field, From Natural Philosophy to the Sciences will be essential for historians of science, but also of great interest to scholars of all aspects of nineteenth-century life and culture. Contributors: Bernadette Bensaude-Vincent, Jed Z. Buchwald, David Cahan, Joseph Dauben, Frederick Gregory, Michael Hagner, Sungook Hong, David R. Oldroyd, Theodore M. Porter, Robert J. Richards, Ulrich Wengenroth