| eBook ISBN: | 978-0-88385-920-9 |
| Product Code: | NML/2.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| eBook ISBN: | 978-0-88385-920-9 |
| Product Code: | NML/2.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
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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.
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Table of Contents
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Chapters
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Chapter 1. What Must You Know to Learn Calculus?
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Chapter 2. The Study of Speed
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Chapter 3. The Simplest Case of Varying Speed
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Chapter 4. The Higher Powers
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Chapter 5. Extending Our Results
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Chapter 6. Calculus and Graphs
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Chapter 7. Acceleration and Curvature
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Chapter 8. The Reverse Problem
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Chapter 9. Circles and Spheres, Squares and Cubes
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Chapter 10. Intuition and Logic
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Reviews
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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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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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
