| 000 -LEADER |
|---|
| fixed length control field |
04015nam a2200697 i 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
8858150 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20200413152933.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
|---|
| fixed length control field |
m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
190927s2019 caua fo 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781681736570 |
| Qualifying information |
electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681736587 |
| Qualifying information |
hardcover |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681736563 |
| Qualifying information |
paperback |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.2200/S00948ED1V01Y201908MAS030 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(CaBNVSL)thg00979535 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1122164223 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
CaBNVSL |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
CaBNVSL |
| Modifying agency |
CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA303.2 |
| Item number |
.A754 2019eb |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ashlock, Daniel, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Fast start advanced calculus / |
| Statement of responsibility, etc. |
Daniel Ashlock. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
[San Rafael, California] : |
| Name of producer, publisher, distributor, manufacturer |
Morgan & Claypool, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2019] |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 PDF (xiii, 179 pages) : |
| Other physical details |
illustrations (some color). |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
electronic |
| Source |
isbdmedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Synthesis lectures on mathematics and statistics, |
| International Standard Serial Number |
1938-1751 ; |
| Volume/sequential designation |
#30 |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
System requirements: Adobe Acrobat Reader. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Part of: Synthesis digital library of engineering and computer science. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Includes index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Advanced derivatives -- 1.1. Partial derivatives -- 1.2. The gradient and directional derivatives -- 1.3. Tangent planes |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
2. Multivariate and constrained optimization -- 2.1. Optimization with partial derivatives -- 2.2. The extreme value theorem redux -- 2.3. Lagrange multipliers |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
3. Advanced integration -- 3.1. Volumes of rotation -- 3.2. Arc length and surface area -- 3.3. Multiple integrals |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
4. Sequences, series, and function approximation -- 4.1. Sequences and the geometric series -- 4.2. Series convergence tests -- 4.3. Power series -- 4.4. Taylor series |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
a. Useful formulas -- A.1. Powers, logs, and exponentials -- A.2. Trigonometric identities -- A.3. Speed of function growth -- A.4. Derivative rules -- A.5. Sums and factorization rules -- A.6. Vector arithmetic -- A.7. Polar and rectangular conversion -- A.8. Integral rules -- A.9. Series convergence tests -- A.10. Taylor series. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
Abstract freely available; full-text restricted to subscribers or individual document purchasers. |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Compendex |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
INSPEC |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google scholar |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google book search |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
|---|
| Additional physical form available note |
Also available in print. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Title from PDF title page (viewed on September 27, 2019). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Calculus |
| Form subdivision |
Textbooks. |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
partial derivatives |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
multivariate optimization |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
constrained optimization |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
volume |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
arc-length |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
surface integrals |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
multiple integrams |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
series |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
power series |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781681736587 |
| -- |
9781681736563 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis lectures on mathematics and statistics ; |
| Volume/sequential designation |
#30. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis digital library of engineering and computer science. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to resource |
| Uniform Resource Identifier |
https://ieeexplore.ieee.org/servlet/opac?bknumber=8858150 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to full text |
| Uniform Resource Identifier |
https://www.morganclaypool.com/doi/10.2200/S00948ED1V01Y201908MAS030 |
