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MGH_AEccn00368993 |
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20160827182034.0 |
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m f d |
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cr cn ---uuauu |
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121206s2012 nyua fo 000 0 eng d |
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|z 2012948439
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020 |
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|a 9780071795531
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035 |
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|a (Sirsi) a368993
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050 |
|
4 |
|a QA303
|b .A96 2012
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082 |
0 |
4 |
|a 515.076
|2 23
|
100 |
1 |
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|a Ayres, Frank,
|d 1901-1994.
|
245 |
1 |
0 |
|a Schaum's outline of calculus
|h [electronic resource] /
|c Frank Ayres, Jr., Elliot Mendelson.
|
246 |
3 |
0 |
|a Calculus
|
250 |
|
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|a 6th ed.
|
260 |
|
|
|a New York :
|b McGraw-Hill,
|c [2012]
|
300 |
|
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|a 1 electronic text :
|b ill.
|
490 |
1 |
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|a McGraw-Hill's AccessEngineering
|
490 |
1 |
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|a Schaum's outlines
|
500 |
|
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|a Print version c2012.
|
505 |
0 |
|
|a Linear coordinate systems. Absolute value. Inequalities -- Rectangular coordinate systems -- Lines -- Circles -- Equations and their graphs -- Functions -- Limits -- Continuity -- Derivative -- Rules for differentiating functions -- Implicit differentiation -- Tangent and normal lines -- Law of the mean. Increasing and decreasing functions -- Maximum and minimum values -- Curve sketching. Concavity. Symmetry -- Review of trigonometry -- Differentiation of trigonometric functions -- Inverse trigonometric functions -- Rectilinear and circular motion -- Related rates -- Differentials. Newton's method -- Antiderivatives -- Definite integral. Area under a curve -- Fundamental theorem of calculus -- Natural logarithm -- Exponential and Logarithmic Functions -- L'Hopital's Rule -- Exponential growth and decay -- Applications of integration I: area and arc length -- Applications of integration II: volume -- Techniques of integration I: integration by parts -- Techniques of integration II: trigonometric integrands and trigonometric substitutions -- Techniques of integration III: integration by partial fractions -- Techniques of integration IV: miscellaneous substitutions -- Improper integrals -- Applications of integration III: area of a surface of revolution -- Parametric representation of curves -- Curvature -- Plane vectors -- Curvilinear motion -- Polar coordinates -- Infinite sequences -- Infinite series -- Series with positive terms. The integral test. Comparison tests -- Alternating series. Absolute and conditional convergence. The ratio test -- Power series -- Taylor and maclaurin series. Taylor's formula with remainder -- Partial derivatives -- Total differential. Differentiability. Chain rules -- Space vectors -- Surfaces and curves in space -- Directional derivatives. Maximum and minimum values -- Vector differentiation and integration -- Double and iterated integrals -- Centroids and moments of inertia of plane areas -- Double integration applied to volume under a surface and the area of a curved surface -- Triple integrals -- Masses of variable density -- Differential equations of first and second order -- Trigonometric formulas -- Geometric formulas.
|
530 |
|
|
|a Also issued in print.
|
588 |
|
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|a Description based on cover image and table of contents, viewed on December 6, 2012.
|
650 |
|
0 |
|a Calculus
|v Outlines, syllabi, etc.
|
650 |
|
0 |
|a Coordinates
|v Outlines, syllabi, etc.
|
650 |
|
0 |
|a Curvature
|v Outlines, syllabi, etc.
|
650 |
|
0 |
|a Differential calculus
|v Outlines, syllabi, etc.
|
650 |
|
0 |
|a Differential equations
|v Outlines, syllabi, etc.
|
650 |
|
0 |
|a Calculus, Integral
|v Outlines, syllabi, etc.
|
650 |
|
0 |
|a Functional analysis
|v Outlines, syllabi, etc.
|
655 |
|
0 |
|a Electronic books.
|
655 |
|
0 |
|a Internet resources.
|
700 |
1 |
|
|a Mendelson, Elliott.
|
830 |
|
0 |
|a McGraw-Hill's AccessEngineering.
|
830 |
|
0 |
|a Schaum's outline series.
|
856 |
4 |
0 |
|u https://accessengineeringlibrary.uam.elogim.com/content/book/9780071795531
|z Texto completo
|
997 |
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|a (c)2012 Cassidy Cataloguing Services, Inc.
|