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Calculus : Early Transcendental Functions 7th Revised edition [Kõva köide]

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  • Formaat: Hardback, 1312 pages, Illustrations
  • Ilmumisaeg: 01-Jan-2018
  • Kirjastus: CENGAGE Learning Custom Publishing
  • ISBN-10: 1337552518
  • ISBN-13: 9781337552516
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Calculus : Early Transcendental Functions 7th Revised editionSuurem pilt
  • Formaat: Hardback, 1312 pages, Illustrations
  • Ilmumisaeg: 01-Jan-2018
  • Kirjastus: CENGAGE Learning Custom Publishing
  • ISBN-10: 1337552518
  • ISBN-13: 9781337552516
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781337552516.html
Märksõnad:
Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
1 Preparation for Calculus
1(64)
1.1 Graphs and Models
2(8)
1.2 Linear Models and Rates of Change
10(9)
1.3 Functions and Their Graphs
19(12)
1.4 Review of Trigonometric Functions
31(10)
1.5 Inverse Functions
41(11)
1.6 Exponential and Logarithmic Functions
52(13)
Review Exercises
60(3)
P.S. Problem Solving
63(2)
2 Limits and Their Properties
65(54)
2.1 A Preview of Calculus
66(6)
2.2 Finding Limits Graphically and Numerically
72(11)
2.3 Evaluating Limits Analytically
83(11)
2.4 Continuity and One-Sided Limits
94(13)
2.5 Infinite Limits
107(12)
Section Project: Graphs and Limits of Trigonometric Functions
114(1)
Review Exercises
115(2)
P.S. Problem Solving
117(2)
3 Differentiation
119(86)
3.1 The Derivative and the Tangent Line Problem
120(10)
3.2 Basic Differentiation Rules and Rates of Change
130(13)
3.3 Product and Quotient Rules and Higher-Order Derivatives
143(11)
3.4 The Chain Rule
154(15)
3.5 Implicit Differentiation
169(9)
Section Project: Optical Illusions
177(1)
3.6 Derivatives of Inverse Functions
178(7)
3.7 Related Rates
185(9)
3.8 Newton's Method
194(11)
Review Exercises
200(3)
P.S. Problem Solving
203(2)
4 Applications of Differentiation
205(78)
4.1 Extrema on an Interval
206(8)
4.2 Rolle's Theorem and the Mean Value Theorem
214(7)
4.3 Increasing and Decreasing Functions and the First Derivative Test
221(10)
Section Project: Even Fourth-Degree Polynomials
230(1)
4.4 Concavity and the Second Derivative Test
231(8)
4.5 Limits at Infinity
239(10)
4.6 A Summary of Curve Sketching
249(11)
4.7 Optimization Problems
260(11)
Section Project: Minimum Time
270(1)
4.8 Differentials
271(12)
Review Exercises
278(3)
P.S. Problem Solving
281(2)
5 Integration
283(104)
5.1 Antiderivatives and Indefinite Integration
284(10)
5.2 Area
294(12)
5.3 Riemann Sums and Definite Integrals
306(11)
5.4 The Fundamental Theorem of Calculus
317(15)
Section Project: Demonstrating the Fundamental Theorem
331(1)
5.5 Integration by Substitution
332(13)
5.6 Indeterminate Forms and L'Hopital's Rule
345(11)
5.7 The Natural Logarithmic Function: Integration
356(9)
5.8 Inverse Trigonometric Functions: Integration
365(8)
5.9 Hyperbolic Functions
373(14)
Section Project: Mercator Map
382(1)
Review Exercises
383(2)
P.S. Problem Solving
385(2)
6 Differential Equations
387(56)
6.1 Slope Fields and Euler's Method
388(9)
6.2 Growth and Decay
397(8)
6.3 Separation of Variables
405(12)
6.4 The Logistic Equation
417(7)
6.5 First-Order Linear Differential Equations
424(7)
Section Project: Weight Loss
430(1)
6.6 Predator-Prey Differential Equations
431(12)
Review Exercises
438(3)
P.S. Problem Solving
441(2)
7 Applications of Integration
443(72)
7.1 Area of a Region Between Two Curves
444(10)
7.2 Volume: The Disk Method
454(11)
7.3 Volume: The Shell Method
465(9)
Section Project: Saturn
473(1)
7.4 Arc Length and Surfaces of Revolution
474(11)
7.5 Work
485(9)
Section Project: Pyramid of Khufu
493(1)
7.6 Moments, Centers of Mass, and Centroids
494(11)
7.7 Fluid Pressure and Fluid Force
505(10)
Review Exercises
511(2)
P.S. Problem Solving
513(2)
8 Integration Techniques and Improper Integrals
515(72)
8.1 Basic Integration Rules
516(7)
8.2 Integration by Parts
523(9)
8.3 Trigonometric Integrals
532(9)
Section Project: The Wallis Product
540(1)
8.4 Trigonometric Substitution
541(9)
8.5 Partial Fractions
550(9)
8.6 Numerical Integration
559(7)
8.7 Integration by Tables and Other Integration Techniques
566(6)
8.8 Improper Integrals
572(15)
Review Exercises
583(2)
P.S. Problem Solving
585(2)
9 Infinite Series
587(98)
9.1 Sequences
588(11)
9.2 Series and Convergence
599(10)
Section Project: Cantor's Disappearing Table
608(1)
9.3 The Integral Test and p-Series
609(7)
Section Project: The Harmonic Series
615(1)
9.4 Comparisons of Series
616(7)
9.5 Alternating Series
623(8)
9.6 The Ratio and Root Tests
631(9)
9.7 Taylor Polynomials and Approximations
640(11)
9.8 Power Series
651(10)
9.9 Representation of Functions by Power Series
661(7)
9.10 Taylor and Maclaurin Series
668(17)
Review Exercises
680(3)
P.S. Problem Solving
683(2)
10 Conies, Parametric Equations, and Polar Coordinates
685(66)
10.1 Conies and Calculus
686(14)
10.2 Plane Curves and Parametric Equations
700(10)
Section Project: Cycloids
709(1)
10.3 Parametric Equations and Calculus
710(9)
10.4 Polar Coordinates and Polar Graphs
719(10)
Section Project: Cassini Oval
728(1)
10.5 Area and Arc Length in Polar Coordinates
729(9)
10.6 Polar Equations of Conies and Kepler's Laws
738(13)
Review Exercises
746(3)
P.S. Problem Solving
749(2)
11 Vectors and the Geometry of Space
751(68)
11.1 Vectors in the Plane
752(10)
11.2 Space Coordinates and Vectors in Space
762(8)
11.3 The Dot Product of Two Vectors
770(9)
11.4 The Cross Product of Two Vectors in Space
779(8)
11.5 Lines and Planes in Space
787(11)
Section Project: Distances in Space
797(1)
11.6 Surfaces in Space
798(10)
11.7 Cylindrical and Spherical Coordinates
808(11)
Review Exercises
815(2)
P.S. Problem Solving
817(2)
12 Vector-Valued Functions
819(52)
12.1 Vector-Valued Functions
820(8)
Section Project: Witch of Agnesi
827(1)
12.2 Differentiation and Integration of Vector-Valued Functions
828(8)
12.3 Velocity and Acceleration
836(9)
12.4 Tangent Vectors and Normal Vectors
845(10)
12.5 Arc Length and Curvature
855(16)
Review Exercises
867(2)
P.S. Problem Solving
869(2)
13 Functions of Several Variables
871(98)
13.1 Introduction to Functions of Several Variables
872(12)
13.2 Limits and Continuity
884(10)
13.3 Partial Derivatives
894(10)
13.4 Differentials
904(7)
13.5 Chain Rules for Functions of Several Variables
911(8)
13.6 Directional Derivatives and Gradients
919(12)
13.7 Tangent Planes and Normal Lines
931(9)
Section Project: Wildflowers
939(1)
13.8 Extrema of Functions of Two Variables
940(8)
13.9 Applications of Extrema
948(8)
Section Project: Building a Pipeline
955(1)
13.10 Lagrange Multipliers
956(13)
Review Exercises
964(3)
P.S. Problem Solving
967(2)
14 Multiple Integration
969(74)
14.1 Iterated Integrals and Area in the Plane
970(8)
14.2 Double Integrals and Volume
978(12)
14.3 Change of Variables: Polar Coordinates
990(8)
14.4 Center of Mass and Moments of Inertia
998(8)
Section Project: Center of Pressure on a Sail
1005(1)
14.5 Surface Area
1006(7)
Section Project: Surface Area in Polar Coordinates
1012(1)
14.6 Triple Integrals and Applications
1013(11)
14.7 Triple Integrals in Other Coordinates
1024(7)
Section Project: Wrinkled and Bumpy Spheres
1030(1)
14.8 Change of Variables: Jacobians
1031(12)
Review Exercises
1038(3)
P.S. Problem Solving
1041(2)
15 Vector Analysis
1043(1)
15.1 Vector Fields
1044(11)
15.2 Line Integrals
1055(14)
15.3 Conservative Vector Fields and Independence of Path
1069(10)
15.4 Green's Theorem
1079(9)
Section Project: Hyperbolic and Trigonometric Functions
1087(1)
15.5 Parametric Surfaces
1088(10)
15.6 Surface Integrals
1098(12)
Section Project: Hyperboloid of One Sheet
1109(1)
15.7 Divergence Theorem
1110(8)
15.8 Stokes's Theorem
1118(6)
Review Exercises
1124(3)
P.S. Problem Solving
1127
16 Additional Topics in Differential Equations (Online)*
16.1 Exact First-Order Equations
16.2 Second-Order Homogeneous Linear Equations
16.3 Second-Order Nonhomogeneous Linear Equations Section Project: Parachute Jump
16.4 Series Solutions of Differential Equations Review Exercises
P.S. Problem Solving
Appendices
Appendix A Proofs of Selected Theorems
2(1)
Appendix B Integration Tables
3(4)
Appendix C Precalculus Review
7(16)
C.1 Real Numbers and the Real Number Line
7(9)
C.2 The Cartesian Plane
16(7)
Appendix D Rotation and the General Second-Degree Equation (Online)*
Appendix E Complex Numbers (Online)*
Appendix F Business and Economic Applications (Online)*
Appendix G Fitting Models to Data (Online)*
Answers to All Odd-Numbered Exercises 23(116)
Index 139