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This title in other editionsOther titles in the Dover Books on Mathematics series:
Mathematics in Civilizationby H L Resnikoff
Synopses & ReviewsPublisher Comments:Space flight, computers, lasers, and information technology―these are but a few examples of the spectacular growth, development, and farreaching applications of mathematics. But what of the field's past? Upon which intellectual milestones were the foundations of modern mathematics constructed? How has our comprehension of the physical universe, language, and the nature of thought itself been influenced and informed by the developments of mathematics through the ages? This lucid presentation examines how mathematics shaped and was shaped by the course of human events. In a format suited to collegelevel studies as well as popular reading, the book explores trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, postRenaissance, and modern times. Solutions to problems appear at the end of each chapter, and this edition has been newly expanded to include a supplement on events in mathematics since the 1985 publication of the first Dover edition. Acclaimed by Telegraphic Reviews as "an exceptionally good liberal arts math text," this highly readable treatment makes a technical subject vividly fascinating. Dover (2015) republication of the edition originally published by Holt, Rinehart and Winston, Inc., New York, 1973. See every Dover book in print at #LINK Synopsis:How mathematics shaped and was shaped by human events. Trigonometry, navigation, cartography, algebra, calculus and related disciplines from ancient Greece through the twentieth century. Bibliography. 203 figures. 7 tables. 14 photos. Synopsis:Lucid presentation explores the growth, development, and farreaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, postRenaissance, and modern times. Third (2015) edition includes supplement updating the 1985 publication.
Synopsis:Featuring a new supplement that completely updates the work, this lucid presentation examines how mathematics shaped and was in turn shaped by the course of history. The authors explore the growth, development, and farreaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, postRenaissance, and modern times.
Synopsis:This lucid presentation examines how mathematics shaped and was shaped by the course of human events. Authors Resnikoff and Wells explore the growth, development and farreaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, postRenaissance and modern times. Preface. Index. Bibliography. 203 blackandwhite figures. 7 tables. 14 photos. About the AuthorHoward L. Resnikoff taught in the Departments of Psychology, Applied Mathematics, and Computer Science at Harvard University. He was Chairman of the Department of Mathematics at the Unviersity of California, Irvine, and Professor of Mathematics at Rice Unviersity. He was also the founder of Aware, Inc., a mathematical engineering company. Raymond O. Wells, Jr., is Distinguished Professor of Mathematics at Jacobs University Bremen and Adjunct Professor of Mathematics at the University of Colorado. He was for many years a member of the Mathematics Department at Rice University. Table of ContentsINTRODUCTION
PART ONE: MATHEMATICS IN ANTIQUITY Chapter 1 Number Systems and the Invention of Positional Notation Chapter 2 Egyptian Arithmetic Chapter 3 Babylonian Algebra Chapter 4 Greek Trigonometry: The Introduction of Inequalities and the Measurement of Area PART TWO: THE ADOLESCENCE OF COMPUTATION Chapter 5 Navigation Chapter 6 Cartography Chapter 7 The Invention of Logarithms Chapter 8 The Algebrization of Geometry PART THREE: THE RISE OF GEOMETRICAL ANALYSIS Chapter 9 Infinitesimal Calculus Chapter 10 The Calculus and Calculation Chapter 11 Differential Geometry Chapter 12 Models of the Universe SUPPLEMENT: TWENTIETHCENTURY MATHEMATICS SOLUTIONS TO SELECTED EXERCISES REFERENCES TABLES Table 1 Common (Briggsian) Logarithms Table 2 Natural Logarithms Table 3 Exponential Functions Table 4 Trigonometrical Functions INDEX
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