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The First Seven Days: Limits and Continuity: Bridging the Gap between Algebra and Calculus - Couverture souple

Poulo, Richard

 
9780999617403: The First Seven Days: Limits and Continuity: Bridging the Gap between Algebra and Calculus
Couverture souple
ISBN 10 : 0999617400 ISBN 13 : 9780999617403
Editeur : Richard Poulo, 2018

Synopsis

Calculus is often called Infinitesimal Calculus, even when it is developed using limits and there are no infinitesimals. The historical confusion between the two formulations is finally untangled.

These seven chapters can be covered in seven lectures in a formal course or in seven sessions for self-instruction.

The opening chapter "All the Preliminaries" lays the groundwork for the rest of the book.

The next chapters. "What is the Problem?" and "Developing a New Intuition", make plain the mathematical obstacles that caused a two- century delay between the invention of calculus and the first rigorous formulation of the subject.

The succeeding chapters, "Limits: A First Attempt at Rigor" and "Limits: Rigor That Works" show why the more obvious definition does not work and why the modern definition solves that problem.

The final chapters, "Continuity: The Key to Everything" and "Derivatives: Putting It All Together", launch the student into calculus with the most solid foundation possible.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Richard Poulo
Date d'édition
2018
Langue
anglais
ISBN 10 
0999617400
ISBN 13 
9780999617403
Reliure
Broché
Numéro d'édition
1
Nombre de pages
108
Coordonnées du fabricant
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