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Calculus, Revised, International Edition  무료배송

 
지은이 : Larson & Edwards
출판사 : Cengage
판수 : 9th Revised Edition
페이지수 : 1328
ISBN : 0538498641
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 68,000원 ( 무료배송 )
적립금 : 2,040 Point
     

 
The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

***3/15 입고예정입니다.

0. PREPARATION FOR CALCULUS.
Graphs and Models.
P.2 Linear Models and Rates of Change.
P.3 Functions and Their Graphs.
P.4 Fitting Models to Data Review Exercises P.S. Problem Solving.
1. LIMITS AND THEIR PROPERTIES.
A Preview of Calculus.
Finding Limits Graphically and Numerically.
Evaluating Limits Analytically.
Continuity and One-Sided Limits.
Infinite Limits Section Project: Graphs and Limits of Trigonometric Functions Review Exercises P.S. Problem Solving.
2. DIFFERENTIATION.
The Derivative and the Tangent Line Problem.
Basic Differentiation Rules and Rates of Change.
The Product and Quotient Rules and Higher-Order Derivatives.
The Chain Rule.
Implicit Differentiation Section Project: Optical Illusions.
Related Rates Review Exercises P.S. Problem Solving.
3. APPLICATIONS OF DIFFERENTIATION.
Extrema on an Interval.
Rolle's Theorem and the Mean Value Theorem.
Increasing and Decreasing Functions and the First Derivative Test Section Project: Rainbows.
Concavity and the Second Derivative Test.
Limits at Infinity.
A Summary of Curve Sketching.
Optimization Problems Section Project: Connecticut River.
Newton's Method.
Differentials Review Exercises P.S. Problem Solving.
4. INTEGRATION. Antiderivatives and Indefinite Integration.
Area. Riemann Sums and Definite Integrals.
The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem.
Integration by Substitution.
Numerical Integration Review Exercises P.S. Problem Solving.
5. LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS.
The Natural Logarithmic Function: Differentiation.
The Natural Logarithmic Function: Integration. Inverse Functions.
Exponential Functions: Differentiation and Integration.
Bases Other than e and Applications Section Project: Using Graphing Utilities to Estimate Slope.
Inverse Trigonometric Functions: Differentiation.
Inverse Trigonometric Functions: Integration.
Hyperbolic Functions Section Project: St. Louis Arch Review Exercises P.S. Problem Solving.
6. DIFFERENTIAL EQUATIONS.
Slope Fields and Euler's Method.
Differential Equations: Growth and Decay.
Separation of Variables and the Logistic Equation.
First-Order Linear Differential Equations Section Project: Weight Loss Review Exercises P.S. Problem Solving.
7. APPLICATIONS OF INTEGRATION.
Area of a Region Between Two Curves.
Volume: The Disk Method.
Volume: The Shell Method Section Project: Saturn.
Arc Length and Surfaces of Revolution.
Work Section Project: Tidal Energy. Moments, Centers of Mass, and Centroids.
Fluid Pressure and Fluid Force Review Exercises P.S. Problem Solving.


8. INTEGRATION TECHNIQUES, L'HOPITAL'S RULE, AND IMPROPER INTEGRALS.
Basic Integration Rules.
Integration by Parts. Trigonometric Integrals Section Project: Power Lines.
Trigonometric Substitution.
Partial Fractions. Integration by Tables and Other Integration Techniques.
Indeterminate Forms and L'Hopital's Rule. Improper Integrals Review Exercises P.S. Problem Solving.
9. INFINITE SERIES. Sequences.
Series and Convergence Section Project: Cantor's Disappearing Table.
The Integral Test and p-Series Section Project: The Harmonic Series.
Comparisons of Series Section Project: Solera Method. Alternating Series.
The Ratio and Root Tests. Taylor Polynomials and Approximations.
Power Series. Representation of Functions by Power Series.
Taylor and Maclaurin Series Review Exercises P.S. Problem Solving.
10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES.
Conics and Calculus.
Plane Curves and Parametric Equations Section Project: Cycloids.
Parametric Equations and Calculus.
Polar Coordinates and Polar Graphs Section Project: Anamorphic Art.
Area and Arc Length in Polar Coordinates.
Polar Equations of Conics and Kepler's Laws Review Exercises P.S. Problem Solving.
11. VECTORS AND THE GEOMETRY OF SPACE.
Vectors in the Plane. Space Coordinates and Vectors in Space.
The Dot Product of Two Vectors.
The Cross Product of Two Vectors in Space.
Lines and Planes in Space Section Project: Distances in Space.
Surfaces in Space.
Cylindrical and Spherical Coordinates Review Exercises P.S. Problem Solving.
12. VECTOR-VALUED FUNCTIONS.
Vector-Valued Functions Section Project: Witch of Agnesi.
Differentiation and Integration of Vector-Valued Functions.
Velocity and Acceleration.
Tangent Vectors and Normal Vectors.
Arc Length and Curvature Review Exercises P.S. Problem Solving.
13. FUNCTIONS OF SEVERAL VARIABLES.
Introduction to Functions of Several Variables.
Limits and Continuity. Partial Derivatives Section Project: Moire Fringes.
Differentials. Chain Rules for Functions of Several Variables.
Directional Derivatives and Gradients.
Tangent Planes and Normal Lines Section Project: Wildflowers.
Extrema of Functions of Two Variables.
Applications of Extrema of Functions of Two Variables Section Project: Building a Pipeline.
Lagrange Multipliers Review Exercises P.S. Problem Solving.
14. MULTIPLE INTEGRATION. Iterated Integrals and Area in the Plane.
Double Integrals and Volume.
Change of Variables: Polar Coordinates.
Center of Mass and Moments of Inertia Section Project: Center of Pressure on a Sail. Surface Area Section Project: Capillary Action.
Triple Integrals and Applications.
Triple Integrals in Cylindrical and Spherical Coordinates Section Project: Wrinkled and Bumpy Spheres.
Change of Variables: Jacobians Review Exercises P.S. Problem Solving.
15. VECTOR ANALYSIS.
Vector Fields. Line Integrals.
Conservative Vector Fields and Independence of Path.
Green's Theorem Section Project: Hyperbolic and Trigonometric Functions.
Parametric Surfaces.
Surface Integrals Section Project: Hyperboloid of One Sheet.
Divergence Theorem. Stokes's Theorem Review Exercises Section Project: The Planimeter P.S. Problem Solving.
Bonus Online Material.
16. ADDITIONAL TOPICS IN DIFFERENTIAL EQUATIONS.
Exact First-Order Equations.
Second-Order Homogeneous Linear Equations.
Second-Order Nonhomogeneous Linear Equations.
Section Project: Parachute Jump.
Series Solutions of Differential Equations.
Review Exercises. P.S. Problem Solving.
BOOK APPENDICES.
A. Proofs of Selected Theorems.
B. Integration Tables. ONLINE APPENDICES.
C. Precalculus Review.
C.1 Real Numbers and the Real Number Line
C.2 The Cartesian Plane
C.3 Review of Trigonometric Functions.
D. Rotation and the General Second-Degree Equation.
E. Complex Numbers.
F. Business and Economic Applications.

"Calculus by Larson,Hostetler, Edwards book was the series of books I used in my undergraduate Calc 1-3 classes.

Quick Summary:
Pros: Good number of exercises, *some* good examples, lots of illustrations, lots of good guidelines and formula sheets.
Cons: Some not-so-great examples, some examples *should* add more algebra steps, 3 editions in 7 years necessary, cost of book-per-class versus 3-set volume is absurd.

Full Review:
All in all I think this book was pretty good through the year and a half run I had for calculus 1-3, and the last two-three years since then when I have tutored the subjects.

If you need a book with a TON of good exercise sets, this book works well. There's A LOT of problems in each section, and most of the time the instructions clearly state what needs to be done, and what concept is being used. There are times that notation or instructions seem a bit obfuscated, however infrequent it may be.

As for examples... most examples are good if you have a firm grasp of algebraic skills. Unfortunately, if you are rusty or not on par with your algebra, many examples can seem painful to understand or navigate. They don't always mention what algebra trick is used, unless the specific section mandates heavy algebra (like the section for Partial Fraction Decomposition as a tool for Integration). This is probably most troubling in the first couple of chapters, since solving most limits involve quite the few algebra tricks. There should at least be a section devoted to an algebra review.

One great pro about the book is that there are plenty of guidelines and formula sheets found in it. You'll find it quite useful to copy them down, or photocopy some of these pages to have a small set of 5-6 pages full of quick reference materials. There are great guidelines on Integration by Parts, as well as Trigonometric Integrals, Series Tests, and the first/last page of the text includes FOUR pages of useful Algebra, Geometry, Trigonometry, and Calculus formulas.

The only other complaint that I have is the price tag for the sectioned versions of the book. $150 (on Amazon) for all three sections of Calculus isn't a bad deal. Paying $90-120 for Calc 1, Calc 2, and Calc 3 separately however, is a ripoff. If you are a Math/Engineering student that *knows* you will take all three sections, get this version.

This is also an issue I have to question... why three versions spanning from 2002-2009? It's not unique to this book, as so many books in College Education get "updates" in a 2-3 year period... but one has to question this."
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