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Fast start differential calculus /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fast start differential calculus // Daniel Ashlock.
作者:	Ashlock, Daniel,
面頁冊數:	1 PDF (xiii, 222 pages) :illustrations. :
附註:	Part of: Synthesis digital library of engineering and computer science.
標題:	Differential calculus - Textbooks. -
電子資源:	https://doi.org/10.2200/S00943ED1V01Y201908MAS028
電子資源:	https://ieeexplore.ieee.org/servlet/opac?bknumber=8848910
ISBN:	9781681736426

Fast start differential calculus /
Ashlock, Daniel,

Fast start differential calculus /Daniel Ashlock. - 1 PDF (xiii, 222 pages) :illustrations. - Synthesis lectures on mathematics and statistics,#281938-1751 ;. - Synthesis lectures on mathematics and statistics ;#26..

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

1. Review of algebra -- 1.1. Solving equations -- 1.2. Lines -- 1.3. Quadratic equations -- 1.4. Functions

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

Compendex

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.

Mode of access: World Wide Web.

ISBN: 9781681736426

Standard No.: 10.2200/S00943ED1V01Y201908MAS028doiSubjects--Topical Terms:

1253134
Differential calculus
--Textbooks.Subjects--Index Terms:

differential calculus

LC Class. No.: QA304 / .A754 2019eb

Dewey Class. No.: 515/.33

Fast start differential calculus /
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100 1 $a Ashlock, Daniel, $e author. $3 1166799
245 1 0 $a Fast start differential calculus / $c Daniel Ashlock.
264 1 $a [San Rafael, California] : $b Morgan & Claypool, $c [2019]
300 $a 1 PDF (xiii, 222 pages) : $b illustrations.
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 #28
500 $a Part of: Synthesis digital library of engineering and computer science.
500 $a Includes index.
505 0 $a 1. Review of algebra -- 1.1. Solving equations -- 1.2. Lines -- 1.3. Quadratic equations -- 1.4. Functions
505 8 $a 2. The library of functions -- 2.1. Polynomials -- 2.2. Powers, logs, and exponentials -- 2.3. Trigonometric functions
505 8 $a 3. Limits, derivatives, rules, and the meaning of the derivative -- 3.1. Limits -- 3.2. Derivatives -- 3.3. Derivatives of the library of functions -- 3.4. The product, quotient, reciprocal, and chain rules -- 3.5. Physical interpretation of derivatives
505 8 $a 4. Curve sketching -- 4.1. Limits at infinity -- 4.2. Information from the derivative -- 4.3. The full report for curve sketching
505 8 $a 5. Optimization -- 5.1. Optimization with derivatives
505 8 $a 6. Limits and continuity : the details -- 6.1. Limits and continuity -- 6.2. The squeeze theorem and the mean value theorem
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.
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 reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.
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 Differential calculus $v Textbooks. $3 1253134
653 $a differential calculus
653 $a review of algebra
653 $a curve sketching
653 $a optimization
653 $a limits
776 0 8 $i Print version:
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 0 $3 Abstract with links to full text $u https://doi.org/10.2200/S00943ED1V01Y201908MAS028
856 4 2 $3 Abstract with links to resource $u https://ieeexplore.ieee.org/servlet/opac?bknumber=8848910