Calculus : (Record no. 8185)

000 -LEADER
fixed length control field 08344nam a22002537a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20201027171512.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 201027b2016 ||||| |||| 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781119657262
040 ## - CATALOGING SOURCE
Transcribing agency NCL
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Item number ANT-C 2016 10940
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Anton, Howard
245 ## - TITLE STATEMENT
Title Calculus :
Remainder of title late transcendentals /
Statement of responsibility, etc. by Howard Anton
250 ## - EDITION STATEMENT
Edition statement 11th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Hoboken, NJ :
Name of publisher, distributor, etc. Wiley,
Date of publication, distribution, etc. 2016
300 ## - PHYSICAL DESCRIPTION
Extent xxii, 1048 :
Other physical details ill. ;
Dimensions 28 cm.
500 ## - GENERAL NOTE
General note Index Included
500 ## - GENERAL NOTE
General note Calculus: Late Transcendentals, 11th EMEA Edition strives to increase student comprehension and conceptual understanding through a balance between rigor and clarity of explanations; sound mathematics; and excellent exercises, applications, and examples. Anton pedagogically approaches Calculus through the Rule of Four, presenting concepts from the verbal, algebraic, visual, and numerical points of view.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1 Limits and Continuity 1<br/><br/>1.1 Limits (An Intuitive Approach) 1<br/><br/>1.2 Computing Limits 13<br/><br/>1.3 Limits at Infinity; End Behavior of a Function 22<br/><br/>1.4 Limits (Discussed More Rigorously) 31<br/><br/>1.5 Continuity 40<br/><br/>1.6 Continuity of Trigonometric Functions 51<br/><br/>2 The Derivative 59<br/><br/>2.1 Tangent Lines and Rates of Change 59<br/><br/>2.2 The Derivative Function 69<br/><br/>2.3 Introduction to Techniques of Differentiation 80<br/><br/>2.4 The Product and Quotient Rules 88<br/><br/>2.5 Derivatives of Trigonometric Functions 93<br/><br/>2.6 The Chain Rule 98<br/><br/>2.7 Implicit Differentiation 105<br/><br/>2.8 Related Rates 112<br/><br/>2.9 Local Linear Approximation; Differentials 119<br/><br/>3 The Derivative in Graphing and Applications 130<br/><br/>3.1 Analysis of Functions I: Increase, Decrease, and Concavity 130<br/><br/>3.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 139<br/><br/>3.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 148<br/><br/>3.4 Absolute Maxima and Minima 157<br/><br/>3.5 Applied Maximum and Minimum Problems 164<br/><br/>3.6 Rectilinear Motion 177<br/><br/>3.7 Newton’s Method 185<br/><br/>3.8 Rolle’s Theorem; Mean-Value Theorem 191<br/><br/>4 Integration 203<br/><br/>4.1 An Overview of the Area Problem 203<br/><br/>4.2 The Indefinite Integral 208<br/><br/>4.3 Integration by Substitution 217<br/><br/>4.4 The Definition of Area as a Limit; Sigma Notation 223<br/><br/>4.5 The Definite Integral 233<br/><br/>4.6 The Fundamental Theorem of Calculus 242<br/><br/>4.7 Rectilinear Motion Revisited Using Integration 253<br/><br/>4.8 Average Value of a Function and its Applications 262<br/><br/>4.9 Evaluating Definite Integrals by Substitution 266<br/><br/>5 Applications of the Definite Integral in Geometry, Science, and Engineering 277<br/><br/>5.1 Area Between Two Curves 277<br/><br/>5.2 Volumes by Slicing; Disks and Washers 284<br/><br/>5.3 Volumes by Cylindrical Shells 294<br/><br/>5.4 Length of a Plane Curve 300<br/><br/>5.5 Area of a Surface of Revolution 306<br/><br/>5.6 Work 311<br/><br/>5.7 Moments, Centers of Gravity, and Centroids 319<br/><br/>5.8 Fluid Pressure and Force 328<br/><br/>6 Exponential, Logarithmic, and Inverse Trigonometric Functions 336<br/><br/>6.1 Exponential and Logarithmic Functions 336<br/><br/>6.2 Derivatives and Integrals Involving Logarithmic Functions 347<br/><br/>6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 353<br/><br/>6.4 Graphs and Applications Involving Logarithmic and Exponential Functions 360<br/><br/>6.5 L’Hôpital’s Rule; Indeterminate Forms 367<br/><br/>6.6 Logarithmic and Other Functions Defined by Integrals 376<br/><br/>6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 387<br/><br/>6.8 Hyperbolic Functions and Hanging Cables 398<br/><br/>7 Principles of Integral Evaluation 412<br/><br/>7.1 An Overview of Integration Methods 412<br/><br/>7.2 Integration by Parts 415<br/><br/>7.3 Integrating Trigonometric Functions 423<br/><br/>7.4 Trigonometric Substitutions 431<br/><br/>7.5 Integrating Rational Functions by Partial Fractions 437<br/><br/>7.6 Using Computer Algebra Systems and Tables of Integrals 445<br/><br/>7.7 Numerical Integration; Simpson’s Rule 454<br/><br/>7.8 Improper Integrals 467<br/><br/>8 Mathematical Modeling with Differential Equations 481<br/><br/>8.1 Modeling with Differential Equations 481<br/><br/>8.2 Separation of Variables 487<br/><br/>8.3 Slope Fields; Euler’s Method 498<br/><br/>8.4 First-Order Differential Equations and Applications 504<br/><br/>9 Infinite Series 514<br/><br/>9.1 Sequences 514<br/><br/>9.2 Monotone Sequences 524<br/><br/>9.3 Infinite Series 531<br/><br/>9.4 Convergence Tests 539<br/><br/>9.5 The Comparison, Ratio, and Root Tests 547<br/><br/>9.6 Alternating Series; Absolute and Conditional Convergence 553<br/><br/>9.7 Maclaurin and Taylor Polynomials 563<br/><br/>9.8 Maclaurin and Taylor Series; Power Series 573<br/><br/>9.9 Convergence of Taylor Series 582<br/><br/>9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 591<br/><br/>10 Parametric and Polar Curves; Conic Sections 605<br/><br/>10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 605<br/><br/>10.2 Polar Coordinates 617<br/><br/>10.3 Tangent Lines, Arc Length, and Area for Polar Curves 630<br/><br/>10.4 Conic Sections 639<br/><br/>10.5 Rotation of Axes; Second-Degree Equations 656<br/><br/>10.6 Conic Sections in Polar Coordinates 661<br/><br/>11 Three-Dimensional Space; Vectors 674<br/><br/>11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 674<br/><br/>11.2 Vectors 680<br/><br/>11.3 Dot Product; Projections 691<br/><br/>11.4 Cross Product 700<br/><br/>11.5 Parametric Equations of Lines 710<br/><br/>11.6 Planes in 3-Space 717<br/><br/>11.7 Quadric Surfaces 725<br/><br/>11.8 Cylindrical and Spherical Coordinates 735<br/><br/>12 Vector-Valued Functions 744<br/><br/>12.1 Introduction to Vector-Valued Functions 744<br/><br/>12.2 Calculus of Vector-Valued Functions 750<br/><br/>12.3 Change of Parameter; Arc Length 759<br/><br/>12.4 Unit Tangent, Normal, and Binormal Vectors 768<br/><br/>12.5 Curvature 773<br/><br/>12.6 Motion Along a Curve 781<br/><br/>12.7 Kepler’s Laws of Planetary Motion 794<br/><br/>13 Partial Derivatives 805<br/><br/>13.1 Functions of Two or More Variables 805<br/><br/>13.2 Limits and Continuity 815<br/><br/>13.3 Partial Derivatives 824<br/><br/>13.4 Differentiability, Differentials, and Local Linearity 837<br/><br/>13.5 The Chain Rule 845<br/><br/>13.6 Directional Derivatives and Gradients 855<br/><br/>13.7 Tangent Planes and Normal Vectors 866<br/><br/>13.8 Maxima and Minima of Functions of Two Variables 872<br/><br/>13.9 Lagrange Multipliers 883<br/><br/>14 Multiple Integrals 894<br/><br/>14.1 Double Integrals 894<br/><br/>14.2 Double Integrals over Nonrectangular Regions 902<br/><br/>14.3 Double Integrals in Polar Coordinates 910<br/><br/>14.4 Surface Area; Parametric Surfaces 918<br/><br/>14.5 Triple Integrals 930<br/><br/>14.6 Triple Integrals in Cylindrical and Spherical Coordinates 938<br/><br/>14.7 Change of Variables in Multiple Integrals; Jacobians 947<br/><br/>14.8 Centers of Gravity Using Multiple Integrals 959<br/><br/>15 Topics in Vector Calculus 971<br/><br/>15.1 Vector Fields 971<br/><br/>15.2 Line Integrals 980<br/><br/>15.3 Independence of Path; Conservative Vector Fields 995<br/><br/>15.4 Green’s Theorem 1005<br/><br/>15.5 Surface Integrals 1013<br/><br/>15.6 Applications of Surface Integrals; Flux 1021<br/><br/>15.7 The Divergence Theorem 1030<br/><br/>15.8 Stokes’ Theorem 1039<br/><br/>A Appendices<br/><br/>A Trigonometry Review (Summary) A1<br/><br/>B Functions (Summary) A8<br/><br/>C New Functions from Old (Summary) A11<br/><br/>D Families of Functions (Summary) A16<br/><br/>E Inverse Functions (Summary) A23<br/><br/>Answers to Odd-Numbered Exercises A28<br/><br/>Index I-1<br/><br/>Web Appendices (online only)<br/>Available for download at www.wiley.com/college/anton or at www.howardanton.com and in WileyPLUS.<br/><br/>A Trigonometry Review<br/><br/>B Functions<br/><br/>C New Functions from Old<br/><br/>D Families of Functions<br/><br/>E Inverse Functions<br/><br/>F Real Numbers, Intervals, and Inequalities<br/><br/>G Absolute Value<br/><br/>H Coordinate Planes, Lines, And Linear Functions<br/><br/>I Distance, Circles, And Quadratic Equations<br/><br/>J Solving Polynomial Equations<br/><br/>K Graphing Functions Using Calculators and Computer Algebra Systems<br/><br/>L Selected Proofs<br/><br/>M Early Parametric Equations Option<br/><br/>N Mathematical Models<br/><br/>O The Discriminant<br/><br/>P Second-Order Linear Homogeneous Differential Equations<br/><br/>Chapter Web Projects: Expanding the Calculus Horizon (online only)<br/>Available for download at www.wiley.com/college/anton or at www.howardanton.com and in WileyPLUS.<br/><br/>Robotics – Chapter 2<br/><br/>Railroad Design – Chapter 7<br/><br/>Iteration and Dynamical Systems – Chapter 9<br/><br/>Comet Collision – Chapter 10<br/><br/>Blammo the Human Cannonball – Chapter 12<br/><br/>Hurricane Modeling – Chapter 15
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Bivens, Irl
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Davis, Stephen
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Inventory number Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
          Namal Library Namal Library Mathematics 10/27/2020 Allied Book Company 12972.00 Bill No. 9065   515 ANT-C 2016 10940 0010940 10/27/2020 10/27/2020 Books