Synopses & Reviews
Space flight, computers, lasers, and information technology―these are but a few examples of the spectacular growth, development, and far-reaching 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 college-level studies as well as popular reading, the book explores trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, 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.
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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 far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance and modern times. Preface. Index. Bibliography. 203 black-and-white figures. 7 tables. 14 photos.
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 far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, 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 far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, and modern times.
About the Author
Howard 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 Contents
INTRODUCTION
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: TWENTIETH-CENTURY 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