國立虎尾科技大學 |

Fast start advanced calculus /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fast start advanced calculus // Daniel Ashlock.
作者:	Ashlock, Daniel,
面頁冊數:	1 PDF (xiii, 179 pages) :illustrations (some color). :
附註:	Part of: Synthesis digital library of engineering and computer science.
標題:	Calculus - Textbooks. -
電子資源:	https://ieeexplore.ieee.org/servlet/opac?bknumber=8858150
電子資源:	https://www.morganclaypool.com/doi/10.2200/S00948ED1V01Y201908MAS030
ISBN:	9781681736570

Fast start advanced calculus /
Ashlock, Daniel,

Fast start advanced calculus /Daniel Ashlock. - 1 PDF (xiii, 179 pages) :illustrations (some color). - Synthesis lectures on mathematics and statistics,#301938-1751 ;. - Synthesis lectures on mathematics and statistics ;#26..

Part of: Synthesis digital library of engineering and computer science.

1. Advanced derivatives -- 1.1. Partial derivatives -- 1.2. The gradient and directional derivatives -- 1.3. Tangent planes

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

Compendex

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.

Mode of access: World Wide Web.

ISBN: 9781681736570

Standard No.: 10.2200/S00948ED1V01Y201908MAS030doiSubjects--Topical Terms:

1051724
Calculus
--Textbooks.Subjects--Index Terms:

partial derivatives

LC Class. No.: QA303.2 / .A754 2019eb

Dewey Class. No.: 515

Fast start advanced calculus /
LDR:03757nam 2200637 i 4500 001 959778
003 IEEE
005 20191004190106.0
006 m eo d
007 cr cn |||m|||a
008 201209s2019 caua fo 001 0 eng d
020 $a 9781681736570 $q electronic
020 $z 9781681736587 $q hardcover
020 $z 9781681736563 $q paperback
024 7 $a 10.2200/S00948ED1V01Y201908MAS030 $2 doi
035 $a (CaBNVSL)thg00979535
035 $a (OCoLC)1122164223
035 $a 8858150
040 $a CaBNVSL $b eng $e rda $c CaBNVSL $d CaBNVSL
050 4 $a QA303.2 $b .A754 2019eb
082 0 4 $a 515 $2 23
100 1 $a Ashlock, Daniel, $e author. $3 1166799
245 1 0 $a Fast start advanced calculus / $c Daniel Ashlock.
264 1 $a [San Rafael, California] : $b Morgan & Claypool, $c [2019]
300 $a 1 PDF (xiii, 179 pages) : $b illustrations (some color).
336 $a text $2 rdacontent
337 $a electronic $2 isbdmedia
338 $a online resource $2 rdacarrier
490 1 $a Synthesis lectures on mathematics and statistics, $x 1938-1751 ; $v #30
500 $a Part of: Synthesis digital library of engineering and computer science.
500 $a Includes index.
505 0 $a 1. Advanced derivatives -- 1.1. Partial derivatives -- 1.2. The gradient and directional derivatives -- 1.3. Tangent planes
505 8 $a 2. Multivariate and constrained optimization -- 2.1. Optimization with partial derivatives -- 2.2. The extreme value theorem redux -- 2.3. Lagrange multipliers
505 8 $a 3. Advanced integration -- 3.1. Volumes of rotation -- 3.2. Arc length and surface area -- 3.3. Multiple integrals
505 8 $a 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 $a 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 $a Abstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0 $a Compendex
510 0 $a INSPEC
510 0 $a Google scholar
510 0 $a Google book search
520 $a 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 $a Also available in print.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Title from PDF title page (viewed on September 27, 2019).
650 0 $a Calculus $v Textbooks. $3 1051724
653 $a partial derivatives
653 $a multivariate optimization
653 $a constrained optimization
653 $a volume
653 $a arc-length
653 $a surface integrals
653 $a multiple integrams
653 $a series
653 $a power series
776 0 8 $i Print version: $z 9781681736587 $z 9781681736563
830 0 $a Synthesis lectures on mathematics and statistics ; $v #26. $3 1253098
830 0 $a Synthesis digital library of engineering and computer science. $3 598254
856 4 2 $3 Abstract with links to resource $u https://ieeexplore.ieee.org/servlet/opac?bknumber=8858150
856 4 0 $3 Abstract with links to full text $u https://www.morganclaypool.com/doi/10.2200/S00948ED1V01Y201908MAS030