Introductory calculus : : maxima, minima, and special functions / / Tunc Geveci.
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| Place / Publishing House: | New York, [New York] (222 East 46th Street, New York, NY 10017) : : Momentum Press,, 2015. |
| Year of Publication: | 2015 |
| Language: | English |
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| Physical Description: | 1 online resource (216 pages) :; illustrations. |
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(MiAaPQ)5004389019 (Au-PeEL)EBL4389019 (CaPaEBR)ebr11152406 (CaONFJC)MIL832651 (OCoLC)939262276 |
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Geveci, Tunc., author. Introductory calculus : maxima, minima, and special functions / Tunc Geveci. New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015. 1 online resource (216 pages) : illustrations. text rdacontent computer rdamedia online resource rdacarrier Co-published with Cognella Academic Publishing. Includes index. 1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem -- 2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem -- 3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema -- 4. Drawing the graph of a function -- 5. Using maxima and minima in real applications -- Optimization -- Applications to economics -- 6. The importance of inverse functions -- Inverse trigonometric functions -- 7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) -- 8. Applying the natural exponential function and the natural logarithm -- The natural logarithm -- 9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x -- 10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials -- 11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest -- 12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions -- 13. Using L'Hopital's rule for indeterminate forms -- The indeterminate form 0/0 -- The indeterminate form [infinity] / [infinity] -- The indeterminate form 0 / [infinity] -- The indeterminate forms 1[infinity], [infinity]0 and 00 -- The indeterminate form [infinity] - [infinity] -- Index. Restricted to libraries which purchase an unrestricted PDF download via an IP. Title from PDF title page (viewed on December 9, 2015). Calculus. Maxima and minima. Functions, Special. Libros electronicos. https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=4389019 Click to View |
| language |
English |
| format |
eBook |
| author |
Geveci, Tunc., |
| spellingShingle |
Geveci, Tunc., Introductory calculus : maxima, minima, and special functions / 1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem -- 2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem -- 3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema -- 4. Drawing the graph of a function -- 5. Using maxima and minima in real applications -- Optimization -- Applications to economics -- 6. The importance of inverse functions -- Inverse trigonometric functions -- 7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) -- 8. Applying the natural exponential function and the natural logarithm -- The natural logarithm -- 9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x -- 10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials -- 11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest -- 12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions -- 13. Using L'Hopital's rule for indeterminate forms -- The indeterminate form 0/0 -- The indeterminate form [infinity] / [infinity] -- The indeterminate form 0 / [infinity] -- The indeterminate forms 1[infinity], [infinity]0 and 00 -- The indeterminate form [infinity] - [infinity] -- Index. |
| author_facet |
Geveci, Tunc., |
| author_variant |
t g tg |
| author_role |
VerfasserIn |
| author_sort |
Geveci, Tunc., |
| title |
Introductory calculus : maxima, minima, and special functions / |
| title_sub |
maxima, minima, and special functions / |
| title_full |
Introductory calculus : maxima, minima, and special functions / Tunc Geveci. |
| title_fullStr |
Introductory calculus : maxima, minima, and special functions / Tunc Geveci. |
| title_full_unstemmed |
Introductory calculus : maxima, minima, and special functions / Tunc Geveci. |
| title_auth |
Introductory calculus : maxima, minima, and special functions / |
| title_new |
Introductory calculus : |
| title_sort |
introductory calculus : maxima, minima, and special functions / |
| publisher |
Momentum Press, |
| publishDate |
2015 |
| physical |
1 online resource (216 pages) : illustrations. |
| contents |
1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem -- 2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem -- 3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema -- 4. Drawing the graph of a function -- 5. Using maxima and minima in real applications -- Optimization -- Applications to economics -- 6. The importance of inverse functions -- Inverse trigonometric functions -- 7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) -- 8. Applying the natural exponential function and the natural logarithm -- The natural logarithm -- 9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x -- 10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials -- 11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest -- 12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions -- 13. Using L'Hopital's rule for indeterminate forms -- The indeterminate form 0/0 -- The indeterminate form [infinity] / [infinity] -- The indeterminate form 0 / [infinity] -- The indeterminate forms 1[infinity], [infinity]0 and 00 -- The indeterminate form [infinity] - [infinity] -- Index. |
| isbn |
9781606508541 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA300 |
| callnumber-sort |
QA 3300 G485 42015 |
| genre |
Libros electronicos. |
| genre_facet |
Libros electronicos. |
| url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=4389019 |
| illustrated |
Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515 |
| dewey-sort |
3515 |
| dewey-raw |
515 |
| dewey-search |
515 |
| oclc_num |
939262276 |
| work_keys_str_mv |
AT gevecitunc introductorycalculusmaximaminimaandspecialfunctions |
| status_str |
n |
| ids_txt_mv |
(MiAaPQ)5004389019 (Au-PeEL)EBL4389019 (CaPaEBR)ebr11152406 (CaONFJC)MIL832651 (OCoLC)939262276 |
| is_hierarchy_title |
Introductory calculus : maxima, minima, and special functions / |
| _version_ |
1792330900213596160 |
| fullrecord |
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