eBook ISBN:  9780883859209 
Product Code:  NML/2.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
eBook ISBN:  9780883859209 
Product Code:  NML/2.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 

Book DetailsAnneli Lax New Mathematical LibraryVolume: 2; 1962; 118 pp
This book gives students the big picture of calculus. It should be read by prospective and current calculus students and by their teachers. Even someone who has completely mastered the technical side of the subject can benefit from being reminded of the essentially simple ideas and the calculational needs that led mathematicians to develop the rather complex machinery of calculus. Sawyer deals with it all, from what background a student needs to begin, to the study of speed and acceleration, to graphing (slope and curvature), to areas, volumes, and the integral.

Table of Contents

Chapters

Chapter 1. What Must You Know to Learn Calculus?

Chapter 2. The Study of Speed

Chapter 3. The Simplest Case of Varying Speed

Chapter 4. The Higher Powers

Chapter 5. Extending Our Results

Chapter 6. Calculus and Graphs

Chapter 7. Acceleration and Curvature

Chapter 8. The Reverse Problem

Chapter 9. Circles and Spheres, Squares and Cubes

Chapter 10. Intuition and Logic


Reviews

The writer answers the question of the title clearly and develops the ideas of the calculus using speed or velocity as an example of the derivative and uses this analogy in developing the idea of the slope of the tangent. He does it well and with charming informality.
J. L. Botsford, The American Mathematical Monthly


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This book gives students the big picture of calculus. It should be read by prospective and current calculus students and by their teachers. Even someone who has completely mastered the technical side of the subject can benefit from being reminded of the essentially simple ideas and the calculational needs that led mathematicians to develop the rather complex machinery of calculus. Sawyer deals with it all, from what background a student needs to begin, to the study of speed and acceleration, to graphing (slope and curvature), to areas, volumes, and the integral.

Chapters

Chapter 1. What Must You Know to Learn Calculus?

Chapter 2. The Study of Speed

Chapter 3. The Simplest Case of Varying Speed

Chapter 4. The Higher Powers

Chapter 5. Extending Our Results

Chapter 6. Calculus and Graphs

Chapter 7. Acceleration and Curvature

Chapter 8. The Reverse Problem

Chapter 9. Circles and Spheres, Squares and Cubes

Chapter 10. Intuition and Logic

The writer answers the question of the title clearly and develops the ideas of the calculus using speed or velocity as an example of the derivative and uses this analogy in developing the idea of the slope of the tangent. He does it well and with charming informality.
J. L. Botsford, The American Mathematical Monthly