Calculus Reordered

This book presents a historical outline of the development of calculus through its four major ideas: accumulation, proportions of change, series, and tolerance. It shows teachers of the subject how they could adapt their curriculum to the historical order to make it more understandable to students. It will also be very useful for all those who want to learn about the origins and evolution of calculus. --Victor J. Katz, University of the District of Columbia As far as I know, there is no other book that integrates the history, theory, and pedagogy of calculus as well as this one. David Bressoud has long experience in these aspects of calculus and provides a masterly and lucid treatment of the subject. --John Stillwell, University of San Francisco All Gaul, as Julius Caesar famously observed, is divided into three parts. All calculus, as David Bressoud argues here, is divided into four: accumulation, ratios of change, series, and limits. With its mix of mathematics and history, this splendid book provides a survey of one of humanity's great intellectual achievements. --William Dunham, author of The Calculus Gallery: Masterpieces from Newton to Lebesgue I wish David Bressoud's beautifully and accessibly written book had been available to me back when I was a mathematics student. By tracing the trail of ideas and advances in calculus over many centuries, his account brings to life a story not of a small number of isolated geniuses, as is usually told, but rather a wonderful march forward, pursued by a great many individuals on multiple continents. Our regard for the 'greats' isn't diminished when we see how the development of calculus is, in fact, a collective creation of all humanity, reflecting the awesome power we have when we share and pass on ideas for others to build on. --Keith Devlin, author of The Man of Numbers and Finding Fibonacci