Calculus Reordered: A History of the Big Ideas by David M. Bressoud

Free textbook ebooks download Calculus Reordered: A History of the Big Ideas


Download Calculus Reordered: A History of the Big Ideas PDF

  • Calculus Reordered: A History of the Big Ideas
  • David M. Bressoud
  • Page: 242
  • Format: pdf, ePub, mobi, fb2
  • ISBN: 9780691181318
  • Publisher: Princeton University Press

Calculus Reordered: A History of the Big Ideas




Free textbook ebooks download Calculus Reordered: A History of the Big Ideas

How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, 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 represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean—particularly in Syracuse, Sicily and Alexandria, 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 that the historical order—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.

Explorations and Discoveries in Mathematics, Volume 2, Using The
Math with Bad Drawings: Illuminating the Ideas That Shape Our Reality. Ben Orlin Paperback. $8.68 · Calculus Reordered: A History of the Big Ideas. David M. Prime Suspects | Princeton University Press Blog
Bressoud Calculus Reordered book cover Bressoud argues that a pedagogy informed by the historical development of calculus presents a  Browse Princeton Catalog in Mathematics - History & Philosophy
Browse Princeton's Subjects (by Title) in Mathematics - History & Philosophy Calculus Reordered: A History of the Big Ideas: Bressoud, D. (Hardcover and  Coming Soon - History / Mathematics: Books - Amazon.com
Results 1 - 16 of 44 Calculus Reordered: A History of the Big Ideas Wonders Beyond Numbers: A Brief History of All Things Mathematical (Bloomsbury Sigma). A Radical Approach to Real Analysis (Mathematical Association of
Math with Bad Drawings: Illuminating the Ideas That Shape Our Reality. Ben Orlin · 4.7 out of 5 stars .. Calculus Reordered: A History of the Big Ideas. David M. David M Bressoud (Author of Calculus Reordered) - Goodreads
David M Bressoud is the author of Calculus Reordered (0.0 avg rating, 0 ratings, 0 reviews), Proofs and Calculus Reordered: A History of the Big Ideas.



Other ebooks: Livres manuels gratuits télécharger Le pèlerin de Compostelle par Paulo Coelho 9782290148174 pdf, Télécharger des livres audio en espagnol gratuitement Devenir super-conscient - Transformer sa vie et accéder à l'extra-ordinaire 9782813215772 link,