Calculus demystified / (Record no. 7952)
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000 -LEADER | |
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fixed length control field | 04134nam a22001937a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20231031132222.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 231031b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780071743631 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | KCST |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515 |
Item number | Kr Ca |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Krantz, Steven G. |
9 (RLIN) | 7771 |
245 ## - TITLE STATEMENT | |
Title | Calculus demystified / |
Statement of responsibility, etc. | Steven G. Krantz |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | New York: |
Name of publisher, distributor, etc. | McGraw-Hill; |
Date of publication, distribution, etc. | 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 397 p. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | <br/>Preface<br/>How to use this book<br/>Chapter 1: Basics<br/>1-0: Introductory remarks<br/>1-1: Number systems<br/>1-2: Coordinates in one dimension<br/>1-3: Coordinates in two dimensions<br/>1-4: Slope of a line in the plane<br/>1-5: Equation of a line<br/>1-6: Loci in the plane<br/>1-7: Trigonometry<br/>1-8: Sets and functions<br/>1-8-1: Examples of functions of a real variable<br/>1-8-2: Graphs of functions<br/>1-8-3: Plotting the graph of a function<br/>1-8-4: Composition of functions<br/>1-8-5: Inverse of a function<br/>1-9: Few words about logarithms and exponentials<br/>Quiz<br/>Chapter 2: Foundations Of Calculus<br/>2-1: Limits<br/>2-1-1: One-sided limits<br/>2-2: Properties of limits<br/>2-3: Continuity<br/>2-4: Derivative<br/>2-5: Rules for calculating derivatives<br/>2-5-1: Derivative of an inverse<br/>2-6: Derivative as a rate of change<br/>Quiz<br/>Chapter 3: Applications Of The Derivative<br/>3-1: Graphing of functions<br/>3-2: Maximum/minimum problems<br/>3-3: Related rates<br/>3-4: Falling bodies<br/>Quiz<br/>Chapter 4: Integral<br/>4-0: Introduction<br/>4-1: Antiderivatives and indefinite integrals<br/>4-1-1: Concept of antiderivative<br/>4-1-2: Indefinite integral<br/>4-2: Area<br/>4-3: Signed area<br/>4-4: Area between two curves<br/>4-5: Rules of integration<br/>4-5-1: Linear properties<br/>4-5-2: Additivity<br/>Quiz<br/>Chapter 5: Indeterminate Forms<br/>5-1: I'Hopital's Rule<br/>5-1-1: Introduction<br/>5-1-2: I'Hopital's Rule<br/>5-2: Other indeterminate forms<br/>5-2-1: Introduction<br/>5-2-2: Writing a product as a quotient<br/>5-2-3: Use of the logarithm<br/>5-2-4: Putting terms over a common denominator<br/>5-2-5: Other algebraic manipulations<br/>5-3: Improper integrals: a first look<br/>5-3-1: Introduction<br/>5-3-2: Integrals with infinite integrands<br/>5-3-3: Application to area<br/>5-4: More on improper integrals<br/>5-4-1: Introduction<br/>5-4-2: Integral on an infinite interval<br/>5-4-3: Some applications<br/>Quiz. Chapter 6: Transcendental Functions<br/>6-0: Introductory remarks<br/>6-1: Logarithm basics<br/>6-1-1: New approach to logarithms<br/>6-1-2: Logarithm function and the derivative<br/>6-2: Exponential basics<br/>6-2-1: Facts about the exponential function<br/>6-2-2: Calculus properties of the exponential<br/>6-2-3: Number e<br/>6-3: Exponentials with arbitrary bases<br/>6-3-1: Arbitrary powers<br/>6-3-2: Logarithms with arbitrary bases<br/>6-4: Calculus with logs and exponentials to arbitrary bases<br/>6-4-1: Differentiation and integration of log(a)x and a(x)<br/>6-4-2: Graphing of logarithmic and exponential functions<br/>6-4-3: Logarithmic differentiation<br/>6-5: Exponential growth and decay<br/>6-5-1: Differential equation<br/>6-5-2: Bacterial growth<br/>6-5-3: Radioactive decay<br/>6-5-4: Compound interest<br/>6-6: Inverse trigonometric functions<br/>6-6-1: Introductory remarks<br/>6-6-2: Inverse sine and cosine<br/>6-6-3: Inverse tangent function<br/>6-6-4: Integrals in which inverse trigonometric functions arise<br/>6-6-5: Other inverse trigonometric functions<br/>6-6-6: Example involving inverse trigonometric functions<br/>Quiz<br/>Chapter 7: Methods Of Integration<br/>7-1: Integration by parts<br/>7-2: Partial fractions<br/>7-2-1: Introductory remarks<br/>7-2-2: Products of linear factors<br/>7-2-3: Quadratic factors<br/>7-3: Substitution<br/>7-4: Integrals of trigonometric expressions<br/>Quiz<br/>Chapter 8: Applications Of The Integral<br/>8-1: Volumes by slicing<br/>8-1-0: Introduction<br/>8-1-1: Basic strategy<br/>8-1-2: Examples<br/>8-2: Volumes of solids of revolution<br/>8-2-0: Introduction<br/>8-2-1: Method of washers<br/>8-2-2: Method of cylindrical shells<br/>8-2-3: Different axes<br/>8-3: Work<br/>8-4: Averages<br/>8-5: Arc length and surface area<br/>8-5-1: Arc length<br/>8-5-2: Surface area<br/>8-6: Hydrostatic pressure<br/>8-7: Numerical methods of integration<br/>8-7-1: Trapezoid rule<br/>8-7-2: Simpson's rule<br/>Quiz<br/>Final exam<br/>Answers to quizzes and final exam<br/>Bibliography<br/>Index |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Calculus |
9 (RLIN) | 994 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | |
Koha item type | Book |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date due | Date last seen | Date last checked out | Price effective from | Koha item type |
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KCST Library | KCST Library | 2023-10-10 | Procured - KCST-INV008 | 5.75 | 1 | 515 Kr Ca | 1000001345 | 2024-02-27 | 2024-02-27 | 2024-02-27 | 2023-10-31 | Book | |||||
KCST Library | KCST Library | 2023-10-10 | Procured - KCST-INV008 | 5.75 | 515 Kr Ca | 1000001346 | 2023-10-31 | 2023-10-31 | Book |