Items related to The First Seven Days: Limits and Continuity: Bridging...

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

Poulo, Richard

 
9780999617403: The First Seven Days: Limits and Continuity: Bridging the Gap between Algebra and Calculus
Softcover
ISBN 10: 0999617400 ISBN 13: 9780999617403
Publisher: 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.

"synopsis" may belong to another edition of this title.

Publisher
Richard Poulo
Publication date
2018
Language
English
ISBN 10 
0999617400
ISBN 13 
9780999617403
Binding
Paperback
Edition number
1
Number of pages
108