MARC details
| 000 -LEADER |
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| fixed length control field |
02581nam a2200349 4500 |
| 001 - CONTROL NUMBER |
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| control field |
OTLid0000462 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20201105133330.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180907s2007 mnu o 0 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MnU |
| Language of cataloging |
eng |
| Transcribing agency |
MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA37.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Sloughter, Dan |
| Relator term |
author |
| 245 00 - TITLE STATEMENT |
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| Title |
Yet Another Calculus Text |
| Statement of responsibility, etc. |
Dan Sloughter |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Name of producer, publisher, distributor, manufacturer |
Dan Sloughter |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1 Derivatives -- 1.1 The arrow paradox -- 1.2 Rates of change -- 1.3 The hyperreals -- 1.4 Continuous functions -- 1.5 Properties of continuous functions -- 1.6 The derivative -- 1.7 Properties of derivatives -- 1.8 A geometric interpretation of the derivative -- 1.9 Increasing, decreasing, and local extrema -- 1.10 Optimization -- 1.11 Implicit differentiation and rates of change -- 1.12 Higher-order derivatives -- 2 Integrals -- 2.1 Integrals -- 2.2 Definite integrals -- 2.3 Properties of definite integrals -- 2.4 The fundamental theorem of integrals -- 2.5 Applications of definite integrals -- 2.6 Some techniques for evaluating integrals -- 2.7 The exponential and logarithm functions -- Answers to ExercisesIndex |
| 520 0# - SUMMARY, ETC. |
|---|
| Summary, etc. |
I intend this book to be, firstly, a introduction to calculus based on the hyperrealnumber system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such asAbraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures onthe Hyperreals. Secondly, I have aimed the text primarily at readers who already have somefamiliarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace istoo fast for most of those without some acquaintance with the basic notions of calculus. |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS |
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| Copyright statement |
Attribution-NonCommercial-ShareAlike |
| 546 ## - LANGUAGE NOTE |
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| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on online resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| Form subdivision |
Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
Open Textbook Library |
| Relator term |
distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://open.umn.edu/opentextbooks/textbooks/462">https://open.umn.edu/opentextbooks/textbooks/462</a> |
| Public note |
Access online version |
