Calculator Calculus:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Springer US
1982
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation |
| Physical Description: | 1 Online-Ressource (XIV, 256 p) |
| ISBN: | 9781468464849 9780419129103 |
| DOI: | 10.1007/978-1-4684-6484-9 |
Staff View
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| 500 | |a How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation | ||
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| id | DE-604.BV042421100 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468464849 9780419129103 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856517 |
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| physical | 1 Online-Ressource (XIV, 256 p) |
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| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Springer US |
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| spelling | McCarty, George Verfasser aut Calculator Calculus by George McCarty Boston, MA Springer US 1982 1 Online-Ressource (XIV, 256 p) txt rdacontent c rdamedia cr rdacarrier How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the function e/3t+9-3)/t. ix difference quotients of numbers, rather than as values of a function that is itself the result of abstract manipulation Mathematics Science (General) Global analysis (Mathematics) Analysis Science, general Mathematik Naturwissenschaft https://doi.org/10.1007/978-1-4684-6484-9 Verlag Volltext |
| spellingShingle | McCarty, George Calculator Calculus Mathematics Science (General) Global analysis (Mathematics) Analysis Science, general Mathematik Naturwissenschaft |
| title | Calculator Calculus |
| title_auth | Calculator Calculus |
| title_exact_search | Calculator Calculus |
| title_full | Calculator Calculus by George McCarty |
| title_fullStr | Calculator Calculus by George McCarty |
| title_full_unstemmed | Calculator Calculus by George McCarty |
| title_short | Calculator Calculus |
| title_sort | calculator calculus |
| topic | Mathematics Science (General) Global analysis (Mathematics) Analysis Science, general Mathematik Naturwissenschaft |
| topic_facet | Mathematics Science (General) Global analysis (Mathematics) Analysis Science, general Mathematik Naturwissenschaft |
| url | https://doi.org/10.1007/978-1-4684-6484-9 |
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