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Fast start integral calculus /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fast start integral calculus // Daniel Ashlock.
作者:	Ashlock, Daniel,
面頁冊數:	1 PDF (xiii, 191 pages) :illustrations. :
附註:	Part of: Synthesis digital library of engineering and computer science.
標題:	Calculus, Integral - Textbooks. -
電子資源:	https://ieeexplore.ieee.org/servlet/opac?bknumber=8848908
電子資源:	https://doi.org/10.2200/S00946ED1V01Y201908MAS029
ISBN:	9781681736518

Fast start integral calculus /
Ashlock, Daniel,

Fast start integral calculus /Daniel Ashlock. - 1 PDF (xiii, 191 pages) :illustrations. - Synthesis lectures on mathematics and statistics,#291938-1751 ;. - Synthesis lectures on mathematics and statistics ;#26..

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

1. Integration, area, and initial value problems -- 1.1. Anti-derivatives -- 1.2. The fundamental theorem -- 1.3. Initial value problems -- 1.4. Induction and sums of rectangles

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

Compendex

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'H�opital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.

Mode of access: World Wide Web.

ISBN: 9781681736518

Standard No.: 10.2200/S00946ED1V01Y201908MAS029doiSubjects--Topical Terms:

1253135
Calculus, Integral
--Textbooks.Subjects--Index Terms:

integral calculus

LC Class. No.: QA308 / .A754 2019eb

Dewey Class. No.: 515/.43

Fast start integral calculus /
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020 $z 9781681736525 $q hardcover
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035 $a (OCoLC)1121147960
035 $a 8848908
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050 4 $a QA308 $b .A754 2019eb
082 0 4 $a 515/.43 $2 23
100 1 $a Ashlock, Daniel, $e author. $3 1166799
245 1 0 $a Fast start integral calculus / $c Daniel Ashlock.
264 1 $a [San Rafael, California] : $b Morgan & Claypool, $c [2019]
300 $a 1 PDF (xiii, 191 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 #29
500 $a Part of: Synthesis digital library of engineering and computer science.
500 $a Includes index.
505 0 $a 1. Integration, area, and initial value problems -- 1.1. Anti-derivatives -- 1.2. The fundamental theorem -- 1.3. Initial value problems -- 1.4. Induction and sums of rectangles
505 8 $a 2. Parametric, polar, and vector functions -- 2.1. Parametric functions -- 2.2. Polar coordinates -- 2.3. Vector functions
505 8 $a 3. The arithmetic, geometry, and calculus of polynomials -- 3.1. Polynomial arithmetic -- 3.2. Qualitative properties of polynomials -- 3.3. L'H�opital's rule; strange polynomials
505 8 $a 4. Methods of integration i -- 4.1. U-substitution -- 4.2. Integration by parts -- 4.3. Integrating trig functions
505 8 $a 5. Methods of integration ii -- 5.1. Trigonometric substitution -- 5.2. Partial fractions -- 5.3. Practicing integration
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. Vector arithmetic -- A.6. Polar and rectangular conversion -- A.7. Integral 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 introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'H�opital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.
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, Integral $v Textbooks. $3 1253135
653 $a integral calculus
653 $a polynomials
653 $a parametric functions
653 $a polar functions
653 $a vector functions
653 $a methods of integration
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 2 $3 Abstract with links to resource $u https://ieeexplore.ieee.org/servlet/opac?bknumber=8848908
856 4 0 $3 Abstract with links to full text $u https://doi.org/10.2200/S00946ED1V01Y201908MAS029