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## Calculus Series by James Stewart

Code:
 Preface
To the Student
Diagnostic Tests
A Preview of Calculus
Functions and Models Four Ways to Represent a Function
Mathematical Models: A Catalog of Essential Functions
New Functions from Old Functions
Graphing Calculators and Computers
Exponential Functions
Inverse Functions and Logarithms
Review
Principles of Problem Solving

Limits and Derivatives The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
Continuity
Limits at Infinity; Horizontal Asymptotes
Derivatives and Rates of Change Writing Project: Early Methods for Finding Tangents

The Derivative as a Function
Review
Problems Plus

Differentiation Rules Derivatives of Polynomials and Exponential Functions Applied Project: Building a Better Roller Coaster

The Product and Quotient Rules
Derivatives of Trigonometric Functions
The Chain Rule Applied Project: Where Should a Pilot Start Descent?

Implicit Differentiation
Derivatives of Logarithmic Functions
Rates of Change in the Natural and Social Sciences
Exponential Growth and Decay
Related Rates
Linear Approximations and Differentials Labratory Project: Taylor Polynomials

Hyperbolic Functions
Review
Problems Plus

Applications of Differentiation Maximum and Minimum Values Applied Project: The Calculus of Rainbows

The Mean Value Theorem
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L'Hospital's Rule Writing Project: The Origins of L'Hospital's Rule

summary of Curve Sketching
Graphic with Calculus and Calculators
Optimization Problems Applied Project: The Shape of a Can

Newton's Method
Antiderivatives
Review
Problems Plus

Integrals Areas and Distances
The Definite Integral Discovery Project: Area Functions

The Fundamental Theorem of Calculus
Indefinite Integrals and the Net Change Theorem Writing Project: Newton, Leibniz, and the invention of Calculus

The Substitution Rule
Review
Problems Plus

Integrals Areas between Curves
Volumes
Volumes by Cylindrical Shells
Work
Average Value of a Function Applied Project: Where to Sit at the Movies

Review
Problems Plus

Techniques of Integration Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions
Strategy for Integration
Integration Using Tables and Computer Algebra Systems Discovery Project: Patterns in Integrals

Approximate Integration
Improper Integrals
Review
Problems Plus

Further Applications of Integration Arc Length Discovery Project: Arc Length Contest

Area of a Surface of Revolution Discovery Project: Rotating on a Slant

Applications to Physics and Engineering Discovery Project: Complementary Coffee Cups

Applications to Economics and Biology
Probability
Review
Problems Plus

Differential Equations Modeling with Differential Equations
Direction Fields and Euler's Method
Separable Equations Applied Project: How Fast Does a Tank Drain?
Applied Project: Which is Fastern Going Up or Coming Down?

Models for Population Growth Applied Project: Calculus and Baseball

Linear Equations
Predator-Prey Systems
Review
Problems Plus

Parametric Equations and Polar Coordinates Curves Defined by Parametric Equations Labratory Project: Running Circles around Circles

Calculus with Parametric Curves Labratory Project: Bézier Curves

Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections
Conic Sections in Polar Coordinates
Review
Problems Plus

Infinite Sequences and Series Sequences Labratory Project: Logistic Sequences

Series
The Integral Test and Estimates of Sums
The Comparison Tests
Alternating Series
Absolute Convergence and the Ratio and Root Tests
Strategy for Testing Series
Power Series
Representations of Functions as Power Series
Taylor and Maclaurin Series Labratory Project: An Elusive Limit
Writing Project: How Newton Discovered the Binomial Series

Applications of Taylor Polynomials Applied PRoject: Radiation from the Stars

Review
Problems Plus

Vectors and the Geometry of Space Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product Discovery Project: The Geometry of a Tetrahedron

Equations of Lines and Planes Labratory Project: Putting 3D in Perspective

Review
Problems Plus

Vector Functions Vector Functions and Space Curves
Derivatives and Integrals of Vector Functions
Arc Length and Curvature
Motion in Space: Velocity and Acceleration Applied Project: Kepler's Laws

Review
Problems Plus

Partial Derivatives Functions of Several Variables
Limits and Continuity
Partial Derivatives
Tangent Planes and Linear Approximations
The Chain Rule
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values Applied Project: Designing a Dumpster
Discovery Project: Quadratic Approximations and Critical Points

Lagrange Mutlipliers Applied Project: Rocket Science
Applied Project: Hydro-Turbine Optimization

Review
Problems Plus

Multiple Integrals Double Integrals over Rectangles
Iterated Integrals
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Triple Integrals Discovery Project: Volumes of Hyperspheres

Triple Integrals in Cylindrical Coordinates Discovery Project: The Intersection of Three Cylinders

Triple Integrals in Spherical Coordinates Applied Project: Roller Derby

Change of Variables in Multiple Integrals
Review
Problems Plus

Vector Calculus Vector Fields
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Parametric Surfaces and Their Areas
Surface Integrals
Stokes' Theorem Writing Project: Three Men and Two Theorems

The Divergence Theorem
Summary
Review
Problems Plus

Second-Order Differential Equations Second-Order Linear Equations
Nonhomogeneous Linear Equations
Applications of Second-Order Differential Equations
Series Solutions
Review

Appendixes Numbers, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
The Logarithm Defined as an Integral
Complex Numbers

Index


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 Recognitions: Gold Member Science Advisor Staff Emeritus The price of $185 is totally unacceptable. I can't imagine why anyone would adopt a book with a price tag this exploitative when there are so many good free options (Keisler, Angenent, and others) as well as commercial offerings that are not priced like an act of violence (Thomas, Spivak).  Recognitions: Gold Member Isn't there a significantly cheaper international version? ## Calculus Series by James Stewart  Quote by bcrowell The price of$185 is totally unacceptable. I can't imagine why anyone would adopt a book with a price tag this exploitative when there are so many good free options (Keisler, Angenent, and others) as well as commercial offerings that are not priced like an act of violence (Thomas, Spivak).
Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook. http://www.thestar.com/news/gta/arti...hat-math-built  Recognitions: Gold Member A lot of money for a pretty not good book. I used it before moving to Spivak, if it wasn't a free online version, I would have burned it. Admin Blog Entries: 5  Quote by meanrev Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook. http://www.thestar.com/news/gta/arti...hat-math-built

 Blog Entries: 2 If the book was cheaper, it wouldn't be to bad. The problem is you're pay so much for a book that doesn't teach you any more than any other calculus book. Material wise, it isn't bad for someone who just needs to know how to do calculus, but since there exist cheaper books that do the same thing, this just makes this a bad buy,

 Quote by meanrev Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook. http://www.thestar.com/news/gta/arti...hat-math-built WHAT??? I feel duped. I have to use this textbook for my calculus courses. D:< http://www.amazon.com/Calculus-Trans.../dp/1111426686  Book is ok, price is not.  This book is kind of funny. One of the most used arguments for the very high price of textbooks, is that there are not a lot of buyers. This is one of the most used college textbooks and also one one of the most expensive.It is so expensive that most students that have it assigned will buy an older version or steal it online.Soon the number of students that buy it will go to 0 and its price will go to infinity, proving why we should all (not) learn calculus from this book.  Quote by bp_psy This book is kind of funny. One of the most used arguments for the very high price of textbooks, is that there are not a lot of buyers. This is one of the most used college textbooks and also one one of the most expensive.It is so expensive that most students that have it assigned will buy an older version or steal it online.Soon the number of students that buy it will go to 0 and its price will go to infinity, proving why we should all not learn calculus from this book. My school uses it for calc 1, 2, and 3, so it's used for a lot. It's awesome when students don't know that the book used in calc 3 can be used in calc 2 also... Stuff the school doesn't tell you just to make money.  I used it for Cal II and I thought it was pretty good. There are plenty of exercises in it and the higher-numbered questions get interesting. I didn't buy it new, however, I tracked down a used copy without the solutions manual for$90 (not having the solutions manual was frustrating for a bit, but it forces you to really learn the material). EDIT: I'm in Cal IV this semester using Stewart's Multivariable Calculus text and I also think it's pretty good. The hate for these books always confuses me, they explain things well enough and if you need more just supplement it with the internet.

 Quote by PeteyCoco EDIT: I'm in Cal IV this semester using Stewart's Multivariable Calculus text and I also think it's pretty good. The hate for these books always confuses me, they explain things well enough and if you need more just supplement it with the internet.
I used to agree with you. I don't think it is so much that the book is terrible. It's okay. BUT...
1) way too expensive
2) there are better options

I have a copy that I regularly lend out to friends. I don't think I am doing them a disservice, but I would never require this book if I were a prof. My school is trying to move away from it.

 Recognitions: Homework Help Science Advisor the question as stated is very broad. the book is pretty good, and especially the second edition which was quite good. moreover used copies of the old better editions are available for under $5. http://www.abebooks.com/servlet/Sear...=t&tn=calculus of course for$185, it is absurd.
 This book brings a lot of people into the tutoring center at my university. From what I can tell - early editions of this book were quite good. Subsequent attempts to pare it down and make it more "concise" have created a very dense and hard to follow tome. The author has put a lot of material online as supplements - but most students are unaware of this, and when made aware, they usually don't take the time to check it out. Student complains generally are: lack of examples, lack of explanation etc. Much of which seem to have been present in the earlier, thicker editions. Having said that - I'm still learning calculus from this book, having finished the calculus sequence a year ago. I refer to it again and again, and it's become "my book," for calculus and I'm very comfortable with it. However, perhaps if I had learned better the first time I wouldn't have to re-visit it so much! -Dave K
 I've just finished it, well, the third edition anyways. I like it, it is an illustrious (not in the figurative sense) book, it explains things visually, which I find easily digestible. The only problem which I have with the actual book is that it doesn't really delve into much depth, for example, the entire time I just wanted to switch to Multivariable, which I am doing now. I felt that it was easier to understand than some of the samples of other texts on the internet, but only by just. But I will say this about the book, I stopped my mathematical education about halfway through High School Geometry. Around a year later I picked up this book and decided to read it (aiming to understand differential equations) and I did not find it difficult to follow at all. If I had picked up Spivak instead, I probably would have never renewed my interest in math. Having said this, the price is awful, and James Stewart should mitigate this by making Multivariable free. My mom bought the copy I used second hand. I would strongly suggest that approach.

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Yeah, I haven't seen any commercials of you kissing Bar Rafaeli yet.