CART

(0) items

Calculus,9780131429246
This item qualifies for
FREE SHIPPING!
FREE SHIPPING OVER $59!

Your order must be $59 or more, you must select US Postal Service Shipping as your shipping preference, and the "Group my items into as few shipments as possible" option when you place your order.

Bulk sales, PO's, Marketplace Items, eBooks, Apparel, and DVDs not included.

Calculus

by ; ;
Edition:
9th
ISBN13:

9780131429246

ISBN10:
0131429248
Format:
Hardcover
Pub. Date:
2/28/2006
Publisher(s):
Pearson
Includes 2-weeks free access to
step-by-step solutions for this book.
Step-by-Step solutions are actual worked out problems to the questions at the end of each chapter that help you understand your homework and study for your exams. Chegg and eCampus are providing you two weeks absolutely free. 81% of students said using Step-by-Step solutions prepared them for their exams.

Questions About This Book?

Why should I rent this book?
Renting is easy, fast, and cheap! Renting from eCampus.com can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.
How do rental returns work?
Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!
What version or edition is this?
This is the 9th edition with a publication date of 2/28/2006.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. You may receive a brand new copy, but typically, only the book itself.

Related Products


  • Calculus
    Calculus
  • Calculus Value Package (includes MyMathLab/MyStatLab Student Access Kit)
    Calculus Value Package (includes MyMathLab/MyStatLab Student Access Kit)
  • Calculus with Analytic Geometry
    Calculus with Analytic Geometry
  • Calculus with Differential  Equations
    Calculus with Differential Equations
  • Mymathlab Mystatlab Student Access Kit For Ad Hoc Valuepacks
    Mymathlab Mystatlab Student Access Kit For Ad Hoc Valuepacks





Summary

Clear and Concise. Varberg focuses on the most critical concepts. This popular calculus text remains the shortest mainstream calculus book available yet coversallrelevant 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(54)
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(6)
Trigonometric Functions
41(10)
Chapter Review
51(4)
Review and Preview Problems
54(1)
Limits
55(38)
Introduction to Limits
55(6)
Rigorous Study of Limits
61(7)
Limit Theorems
68(5)
Limits Involving Trigonometric Functions
73(4)
Limits at Infinity; Infinite Limits
77(5)
Continuity of Functions
82(8)
Chapter Review
90(3)
Review and Preview Problems
92(1)
The Derivative
93(58)
Two Problems with One Theme
93(7)
The Derivative
100(7)
Rules for Finding Derivatives
107(7)
Derivatives of Trigonometric Functions
114(4)
The Chain Rule
118(7)
Higher-Order Derivatives
125(5)
Implicit Differentiation
130(5)
Related Rates
135(7)
Differentials and Approximations
142(5)
Chapter Review
147(4)
Review and Preview Problems
150(1)
Applications of the Derivative
151(64)
Maxima and Minima
151(4)
Monotonicity and Concavity
155(7)
Local Extrema and Extrema on Open Intervals
162(5)
Practical Problems
167(11)
Graphing Functions Using Calculus
178(7)
The Mean Value Theorem for Derivatives
185(5)
Solving Equations Numerically
190(7)
Antiderivatives
197(6)
Introduction to Differential Equations
203(6)
Chapter Review
209(6)
Review and Preview Problems
214(1)
The Definite Integral
215(60)
Introduction to Area
215(9)
The Definite Integral
224(8)
The First Fundamental Theorem of Calculus
232(11)
The Second Fundamental Theorem of Calculus and the Method of Substitution
243(10)
The Mean Value Theorem for Integrals and the Use of Symmetry
253(7)
Numerical Integration
260(10)
Chapter Review
270(5)
Review and Preview Problems
274(1)
Applications of the Integral
275(50)
The Area of a Plane Region
275(6)
Volumes of Solids: Slabs, Disks, Washers
281(7)
Volumes of Solids of Revolution: Shells
288(6)
Length of a Plane Curve
294(7)
Work and Fluid Force
301(7)
Moments and Center of Mass
308(8)
Probability and Random Variables
316(6)
Chapter Review
322(3)
Review and Preview Problems
324(1)
Transcendental Functions
325(58)
The Natural Logarithm Function
325(6)
Inverse Functions and Their Derivatives
331(6)
The Natural Exponential Function
337(5)
General Exponential and Logarithmic Functions
342(5)
Exponential Growth and Decay
347(8)
First-Order Linear Differential Equations
355(4)
Approximations for Differential Equations
359(6)
The Inverse Trigonometric Functions and Their Derivatives
365(9)
The Hyperbolic Functions and Their Inverses
374(6)
Chapter Review
380(3)
Review and Preview Problems
382(1)
Techniques of Integration
383(40)
Basic Integration Rules
383(4)
Integration by Parts
387(6)
Some Trigonometric Integrals
393(6)
Rationalizing Substitutions
399(5)
Integration of Rational Functions Using Partial Fractions
404(7)
Strategies for Integration
411(8)
Chapter Review
419(4)
Review and Preview Problems
422(1)
Indeterminate Forms and Improper Integrals
423(26)
Indeterminate Forms of Type 0/0
423(5)
Other Indeterminate Forms
428(5)
Improper Integrals: Infinite Limits of Integration
433(9)
Improper Integrals: Infinite Integrands
442(4)
Chapter Review
446(3)
Review and Preview Problems
448(1)
Infinite Series
449(60)
Infinite Sequences
449(6)
Infinite Series
455(8)
Positive Series: The Integral Test
463(5)
Positive Series: Other Tests
468(6)
Alternating Series, Absolute Convergence, and Conditional Convergence
474(5)
Power Series
479(5)
Operations on Power Series
484(5)
Taylor and Maclaurin Series
489(8)
The Taylor Approximation to a Function
497(7)
Chapter Review
504(5)
Review and Preview Problems
508(1)
Conics and Polar Coordinates
509(46)
The Parabola
509(4)
Ellipses and Hyperbolas
513(10)
Translation and Rotation of Axes
523(7)
Parametric Representation of Curves in the Plane
530(7)
The Polar Coordinate System
537(5)
Graphs of Polar Equations
542(5)
Calculus in Polar Coordinates
547(5)
Chapter Review
552(3)
Review and Preview Problems
554(1)
Geometry in Space and Vectors
555(62)
Cartesian Coordinates in Three-Space
555(5)
Vectors
560(6)
The Dot Product
566(8)
The Cross Product
574(5)
Vector-Valued Functions and Curvilinear Motion
579(10)
Lines and Tangent Lines in Three-Space
589(4)
Curvature and Components of Acceleration
593(10)
Surfaces in Three-Space
603(6)
Cylindrical and Spherical Coordinates
609(4)
Chapter Review
613(4)
Review and Preview Problems
616(1)
Derivatives for Functions of Two or More Variables
617(58)
Functions of Two or More Variables
617(7)
Partial Derivatives
624(5)
Limits and Continuity
629(6)
Differentiability
635(6)
Directional Derivatives and Gradients
641(6)
The Chain Rule
647(5)
Tangent Planes and Approximations
652(5)
Maxima and Minima
657(9)
The Method of Lagrange Multipliers
666(6)
Chapter Review
672(3)
Review and Preview Problems
674(1)
Multiple Integrals
675(56)
Double Integrals over Rectangles
675(5)
Iterated Integrals
680(4)
Double Integrals over Nonrectangular Regions
684(7)
Double Integrals in Polar Coordinates
691(5)
Applications of Double Integrals
696(4)
Surface Area
700(6)
Triple Integrals in Cartesian Coordinates
706(7)
Triple Integrals in Cylindrical and Spherical Coordinates
713(5)
Change of Variables in Multiple Integrals
718(10)
Chapter Review
728(3)
Review and Preview Problems
730(1)
Vector Calculus
731
Vector Fields
731(4)
Line Integrals
735(7)
Independence of Path
742(7)
Green's Theorem in the Plane
749(6)
Surface Integrals
755(9)
Gauss's Divergence Theorem
764(6)
Stokes's Theorem
770(3)
Chapter Review
773
Appendix
1(6)
A.1 Mathematical Induction
1(2)
A.2 Proofs of Several Theorems
3(4)
Answers to Odd-Numbered Problems 7
Index 1(1)
Photo Credits 1


Please wait while the item is added to your cart...