MARC details
| 000 -LEADER |
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| fixed length control field |
07334cam a2200361 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
14144450 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20170426133437.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
051017s2007 maua 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2005030239 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780072869538 (acidfree paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0072869534 (acidfree paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| Description conventions |
rda |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA303.2 |
| Item number |
.S653 2007 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
22 |
| Item number |
S.R.C |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Smith, Robert T. |
| Fuller form of name |
(Robert Thomas), |
| Dates associated with a name |
1955- |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Calculus. |
| Name of part/section of a work |
Early transcendental functions / |
| Statement of responsibility, etc |
Robert T. Smith, Roland B. Minton. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
third edition. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Boston : |
| Name of publisher, distributor, etc |
McGraw-Hill Higher Education, |
| Date of publication, distribution, etc |
[2007] |
| 264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Date of publication, distribution, etc |
c2007. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 volume (various pagings) : |
| Other physical details |
illustrations ; |
| Dimensions |
27 cm |
| 336 ## - CONTENT TYPE |
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| Source |
rdacontent |
| Content type term |
text |
| 337 ## - MEDIA TYPE |
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| Source |
rdamedia |
| Media type term |
unmediated |
| 338 ## - CARRIER TYPE |
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| Source |
rdacarrier |
| Carrier type term |
volume |
| 500 ## - GENERAL NOTE |
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| General note |
Includes indexes. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Chapter 0 PRELIMINARIES 1<br/> 0.1 The Real Numbers and the Cartesian Plane 2<br/> 0.2 Lines and Functions 11<br/> 0.3 Graphing Calculators and Computer Algebra Systems 24<br/> 0.4 Solving Equations 34<br/> 0.5 Trigonometric Functions 40<br/> 0.6 Exponential and Logarithmic Functions 50 <br/>Fitting a Curve to Data<br/> 0.7 Transformations of Functions 63<br/> 0.8 Preview of Calculus 72<br/> CHAPTER 1 LIMITS AND CONTINUITY 81<br/> 1.1 The Concept of Limit 82<br/> 1.2 Computation of Limits 91<br/> 1.3 Continuity and Its Consequences 102 <br/>The Method of Bisections<br/> 1.4 Limits Involving Infinity 114<br/> 1.5 Formal Definition of the Limit 124 <br/>Exploring the Definition of Limit Graphically <br/> 1.6 Limits and Loss-of-Significance Errors 137 <br/>Computer Representation of Real Numbers<br/> CHAPTER 2 DIFFERENTIATION: ALGEBRAIC, TRIGONOMETRIC, EXPONENTIAL AND <br/>LOGARITHMIC FUNCTIONS 149<br/> 2.1 Tangent Lines and Velocity 150<br/> 2.2 The Derivative 164 Numerical Differentiation<br/> 2.3 Computation of Derivatives: The Power Rule 176 <br/>General Derivative Rules Higher Order Derivatives - Acceleration<br/> 2.4 The Product and Quotient Rules 187<br/> 2.5 Derivatives of Trigonometric Functions 196<br/> 2.6 Derivatives of Exponential and Logarithmic Functions 205<br/> 2.7 The Chain Rule 213<br/> 2.8 Implicit Differentiation and Related Rates 220<br/> 2.9 The Mean Value Theorem 229<br/> CHAPTER 3 APPLICATIONS OF DIFFERENTIATION 241<br/> 3.1 Linear Approximations and L'Hopital's Rule 242<br/> 3.2 Newton's Method 251<br/> 3.3 Maximum and Minimum Values 258<br/> 3.4 Increasing and Decreasing Functions 269<br/> 3.5 Concavity 278<br/> 3.6 Overview of Curve Sketching 286<br/> 3.7 Optimization 298<br/> 3.8 Rates of Change in Applications 310<br/> CHAPTER 4 INTEGRATION 321<br/> 4.1 Antiderivatives 322<br/> 4.2 Sums and Sigma Notation 334 <br/>Principle of Mathematical Induction<br/> 4.3 Area 342<br/> 4.4 The Definite Integral 350 <br/>Average Value of a Function<br/> 4.5 The Fundamental Theorem of Calculus 364<br/> 4.6 Integration by Substitution 374<br/> 4.7 Numerical Integration 384 <br/>Error Bounds for Numerical Integration<br/> CHAPTER 5 APPLICATIONS OF THE DEFINITE INTEGRAL 401<br/> 5.1 Area between Curves 402<br/> 5.2 Volume 411 <br/>Volumes by Slicing The Method of Disks The Method of Washers<br/> 5.3 Volumes by Cylindrical Shells 425<br/> 5.4 Arc Length and Surface Area 434<br/> 5.5 Projectile Motion 442<br/> 5.6 Work, Moments and Hydrostatic Force 453<br/> 5.7 Probability 465<br/> CHAPTER 6 EXPONENTIALS, LOGARITHMS AND OTHER TRANSCENDENTAL FUNCTIONS <br/>479<br/> 6.1 The Natural Logarithm Revisited 480<br/> 6.2 Inverse Functions 487<br/> 6.3 The Exponential Function Revisited 495<br/> 6.4 Growth and Decay Problems 503 <br/>Compound Interest<br/> 6.5 Separable Differential Equations 512 <br/>Logistic Growth<br/> 6.6 Euler's Method 521<br/> 6.7 The Inverse Trigonometric Functions 530<br/> 6.8 The Calculus of the Inverse Trigonometric Functions 536<br/> 6.9 The Hyperbolic Functions 543 <br/>The Inverse Hyperbolic Functions Derivation of the Catenary<br/> CHAPTER 7 INTEGRATION TECHNIQUES 555<br/> 7.1 Review of Formulas and Techniques 556<br/> 7.2 Integration by Parts 560<br/> 7.3 Trigonometric Techniques of Integration 568 <br/>Integrals Involving Powers of Trigonometric Functions Trigonometric <br/>Substitution<br/> 7.4 Integration of Rational Functions Using Partial Fractions 578<br/> 7.5 Integration Tables and Computer Algebra Systems 586<br/> 7.6 Indeterminate Forms and L'Hopital's Rule 596<br/> 7.7 Improper Integrals 604 - A Comparison Test<br/> CHAPTER 8 INFINITE SERIES 621<br/> 8.1 Sequences of Real Numbers 622<br/> 8.2 Infinite Series 636<br/> 8.3 The Integral Test and Comparison Tests 647<br/> 8.4 Alternating Series 658 <br/>Estimating the Sum of an Alternating Series<br/> 8.5 Absolute Convergence and the Ratio Test 666 <br/>The Root Test<br/> 8.6 Power Series 674<br/> 8.7 Taylor Series 682 <br/>Proof of Taylor's Theorem<br/> 8.8 Applications of Taylor Series 695<br/> 8.9 Fourier Series 703<br/> CHAPTER 9 PARAMETRIC EQUATIONS AND POLAR COORDINATES 721<br/> 9.1 Plane Curves and Parametric Equations 722<br/> 9.2 Calculus and Parametric Equations 732<br/> 9.3 Arc Length and Surface Area in Parametric Equations 739<br/> 9.4 Polar Coordinates 746<br/> 9.5 Calculus and Polar Coordinates 760<br/> 9.6 Conic Sections 769<br/> 9.7 Conic Sections in Polar Coordinates 779<br/> CHAPTER 10 VECTORS AND THE GEOMETRY OF SPACE 787<br/> 10.1 Vectors in the Plane 788<br/> 10.2 Vectors in Space 798<br/> 10.3 The Dot Product 805 <br/>Components and Projections<br/> 10.4 The Cross Product 814<br/> 10.5 Lines and Planes in Space 827<br/> 10.6 Surfaces in Space 836<br/> CHAPTER 11 VECTOR-VALUED FUNCTIONS 851<br/> 11.1 Vector-Valued Functions 852<br/> 11.2 The Calculus of Vector-Valued Functions 861<br/> 11.3 Motion in Space 872<br/> 11.4 Curvature 882<br/>Tangential and Normal Components of Acceleration Kepler's Laws<br/> CHAPTER 12 FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DIFFERENTIATION <br/>907<br/> 12.1 Functions of Several Variables 908<br/> 12.2 Limits and Continuity 924<br/> 12.3 Partial Derivatives 936<br/> 12.4 Tangent Planes and Linear Approximations 948 <br/>Increments and Differentials<br/> 12.5 The Chain Rule 960<br/> 12.6 The Gradient and Directional Derivatives 967<br/> 12.7 Extrema of Functions of Several Variables 979<br/> 12.8 Constrained Optimization and Lagrange Multipliers 994<br/> CHAPTER 13 MULTIPLE INTEGRALS 1011<br/> 13.1 Double Integrals 1012<br/> 13.2 Area, Volume and Center of Mass 1028<br/> 13.3 Double Integrals in Polar Coordinates 1039<br/> 13.4 Surface Area 1046<br/> 13.5 Triple Integrals 1052 <br/>Mass and Center of Mass<br/> 13.6 Cylindrical Coordinates 1064<br/> 13.7 Spherical Coordinates 1071<br/> 13.8 Change of Variables in Multiple Integrals 1079<br/> CHAPTER 14 VECTOR CALCULUS 1095<br/> 14.1 Vector Fields 1096<br/> 14.2 Line Integrals 1108<br/> 14.3 Independence of Path and Conservative Vector Fields 1123<br/> 14.4 Green's Theorem 1134<br/> 14.5 Curl and Divergence 1143<br/> 14.6 Surface Integrals 1153 <br/>Parametric Representation of Surfaces<br/> 14.7 The Divergence Theorem 1167<br/> 14.8 Stokes' Theorem 1175<br/> APPENDIX A PROOFS OF SELECT THEOREMS 1188<br/> APPENDIX B ANSWERS TO ODD-NUMBERED <br/> EXERCISES 1199<br/> BIBLIOGRAPHY 1251<br/> CREDITS 1261<br/> INDEX 1262 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus |
| Form subdivision |
Textbooks. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Minton, Roland B., |
| Dates associated with a name |
1956- |
| Relator term |
author. |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of contents only |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/toc/ecip062/2005030239.html">http://www.loc.gov/catdir/toc/ecip062/2005030239.html</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Publisher description |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/enhancements/fy0702/2005030239-d.html">http://www.loc.gov/catdir/enhancements/fy0702/2005030239-d.html</a> |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ecip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |