Calculus Early Transcendentals,9780131875333

Calculus Early Transcendentals

by ; ;
Edition: 1st
ISBN13: 9780131875333
ISBN10: 0131875337
Format: Hardcover
Pub. Date: 2006-05-15
Publisher(s): Pearson
  • Free Shipping Icon

    Receive Free Shipping To The More Store!*

    *Marketplace items do not qualify for the free shipping promotion.

List Price: $193.32

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

New Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $8.05

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

Clear and Concise. Varberg focuses on the most critical concepts. This popular calculus text remains the shortest mainstream calculus book available - yet covers allrelevant material needed by, and appropriate to, the study of calculus at this level. It's conciseness and clarity helps you focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate, without being excessively rigorous, up-to-date without being faddish.

Table of Contents

Preface ix
Preliminaries
1(70)
Real Numbers, Estimation, and Logic
1(7)
Inequalities and Absolute Values
8(8)
The Rectangular Coordinate System
16(8)
Graphs of Equations
24(5)
Functions and Their Graphs
29(6)
Operations on Functions
35(9)
Exponential and Logarithmic Functions
44(7)
The Trigonometric Functions
51(10)
The Inverse Trigonometric Functions
61(5)
Chapter Review
66(5)
Review and Preview Problems
70(1)
Limits
71(48)
Introduction to Limits
71(6)
Rigorous Study of Limits
77(7)
Limit Theorems
84(5)
Limits at Infinity; Infinite Limits
89(6)
Limits Involving Trigonometric Functions
95(3)
Natural Exponential, Natural Log, and Hyperbolic Functions
98(9)
Continuity of Functions
107(9)
Chapter Review
116(3)
Review and Preview Problems
118(1)
The Derivative
119(70)
Two Problems with One Theme
119(7)
The Derivative
126(7)
Rules for Finding Derivatives
133(7)
Derivatives of Trigonometric Functions
140(4)
The Chain Rule
144(7)
Higher-Order Derivatives
151(5)
Implicit Differentiation
156(5)
Related Rates
161(7)
Derivatives of Exponential and Logarithmic Functions
168(6)
Derivatives of Hyperbolic and Inverse Trigonometric Functions
174(6)
Differentials and Approximations
180(5)
Chapter Review
185(4)
Review and Preview Problems
188(1)
Applications of the Derivative
189(74)
Maxima and Minima
189(4)
Monotonicity and Concavity
193(7)
Local Extrema and Extrema on Open Intervals
200(5)
Practical Problems
205(11)
Graphing Functions Using Calculus
216(9)
The Mean Value Theorem for Derivatives
225(5)
Solving Equations Numerically
230(7)
Antiderivatives
237(7)
Introduction to Differential Equations
244(7)
Exponential Growth and Decay
251(6)
Chapter Review
257(6)
Review and Preview Problems
262(1)
The Definite Integral
263(60)
Introduction to Area
263(9)
The Definite Integral
272(8)
The First Fundamental Theorem of Calculus
280(11)
The Second Fundamental Theorem of Calculus and the Method of Substitution
291(10)
The Mean Value Theorem for Integrals and the Use of Symmetry
301(7)
Numerical Integration
308(10)
Chapter Review
318(5)
Review and Preview Problems
322(1)
Applications of the Integral
323(50)
The Area of a Plane Region
323(6)
Volumes of Solids: Slabs, Disks, Washers
329(7)
Volumes of Solids of Revolution: Shells
336(6)
Length of a Plane Curve
342(7)
Work and Fluid Force
349(7)
Moments and Center of Mass
356(8)
Probability and Random Variables
364(6)
Chapter Review
370(3)
Review and Preview Problems
372(1)
Techniques of Integration and Differential Equations
373(52)
Basic Integration Rules
373(5)
Integration by Parts
378(6)
Some Trigonometric Integrals
384(6)
Rationalizing Substitutions
390(5)
Integration of Rational Functions Using Partial Fractions
395(7)
Strategies for Integration
402(8)
First-Order Linear Differential Equations
410(5)
Approximations for Differential Equations
415(6)
Chapter Review
421(4)
Review and Preview Problems
424(1)
Indeterminate Forms and Improper Integrals
425(26)
Indeterminate Forms of Type 0/0
425(5)
Other Indeterminate Forms
430(5)
Improper Integrals: Infinite Limits of Integration
435(9)
Improper Integrals: Infinite Integrands
444(4)
Chapter Review
448(3)
Review and Preview Problems
450(1)
Infinite Series
451(60)
Infinite Sequences
451(6)
Infinite Series
457(8)
Positive Series: The Integral Test
465(5)
Positive Series: Other Tests
470(6)
Alternating Series, Absolute Convergence, and Conditional Convergence
476(5)
Power Series
481(5)
Operations on Power Series
486(5)
Taylor and Maclaurin Series
491(8)
The Taylor Approximation to a Function
499(7)
Chapter Review
506(5)
Review and Preview Problems
510(1)
Conics and Polar Coordinates
511(46)
The Parabola
511(4)
Ellipses and Hyperbolas
515(10)
Translation and Rotation of Axes
525(7)
Parametric Representation of Curves in the Plane
532(7)
The Polar Coordinate System
539(5)
Graphs of Polar Equations
544(5)
Calculus in Polar Coordinates
549(5)
Chapter Review
554(3)
Review and Preview Problems
556(1)
Geometry in Space and Vectors
557(62)
Cartesian Coordinates in Three-Space
557(5)
Vectors
562(6)
The Dot Product
568(8)
The Cross Product
576(5)
Vector-Valued Functions and Curvilinear Motion
581(10)
Lines and Tangent Lines in Three-Space
591(4)
Curvature and Components of Acceleration
595(10)
Surfaces in Three-Space
605(6)
Cylindrical and Spherical Coordinates
611(4)
Chapter Review
615(4)
Review and Preview Problems
618(1)
Derivatives for Functions of Two or More Variables
619(58)
Functions of Two or More Variables
619(7)
Partial Derivatives
626(5)
Limits and Continuity
631(6)
Differentiability
637(6)
Directional Derivatives and Gradients
643(6)
The Chain Rule
649(5)
Tangent Planes and Approximations
654(5)
Maxima and Minima
659(9)
The Method of Lagrange Multipliers
668(6)
Chapter Review
674(3)
Review and Preview Problems
676(1)
Multiple Integrals
677(56)
Double Integrals over Rectangles
677(5)
Iterated Integrals
682(4)
Double Integrals over Nonrectangular Regions
686(7)
Double Integrals in Polar Coordinates
693(5)
Applications of Double Integrals
698(4)
Surface Area
702(6)
Triple Integrals in Cartesian Coordinates
708(7)
Triple Integrals in Cylindrical and Spherical Coordinates
715(5)
Change of Variables in Multiple Integrals
720(10)
Chapter Review
730(3)
Review and Preview Problems
732(1)
Vector Calculus
733(44)
Vector Fields
733(4)
Line Integrals
737(7)
Independence of Path
744(7)
Green's Theorem in the Plane
751(6)
Surface Integrals
757(9)
Gauss's Divergence Theorem
766(6)
Stokes's Theorem
772(3)
Chapter Review
775(2)
Differential Equations
777
Linear Homogeneous Equations
777(4)
Nonhomogeneous Equations
781(4)
Applications of Second-Order Equations
785(5)
Chapter Review
790
Appendix
1(6)
Mathematical Induction
1(2)
Proofs of Several Theorems
3(4)
Answers to Odd-Numbered Problems 7
Index 1(1)
Photo Credits 1

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.