Calculus Series by James Stewart

[Greg Bernhardt]

• Author: James Stewart
• Amazon Link:
  https://www.amazon.com/dp/0538497815/?tag=pfamazon01-20
  https://www.amazon.com/dp/0538498676/?tag=pfamazon01-20
  https://www.amazon.com/dp/0495557420/?tag=pfamazon01-20
• Prerequisities: High-School Mathematics

Table of Contents:

[LIST]
[*] Preface
[*] To the Student
[*] Diagnostic Tests
[*] A Preview of Calculus
[*] Functions and Models
[LIST]
[*] 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
[/LIST]
[*] Limits and Derivatives
[LIST]
[*] 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
[LIST]
[*] Writing Project: Early Methods for Finding Tangents
[/LIST]
[*] The Derivative as a Function
[*] Review
[*] Problems Plus
[/LIST]
[*] Differentiation Rules
[LIST]
[*] Derivatives of Polynomials and Exponential Functions
[LIST]
[*] Applied Project: Building a Better Roller Coaster
[/LIST]
[*] The Product and Quotient Rules
[*] Derivatives of Trigonometric Functions
[*] The Chain Rule
[LIST]
[*] Applied Project: Where Should a Pilot Start Descent?
[/LIST]
[*] 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
[LIST]
[*] Labratory Project: Taylor Polynomials
[/LIST]
[*] Hyperbolic Functions
[*] Review
[*] Problems Plus
[/LIST]
[*] Applications of Differentiation
[LIST]
[*] Maximum and Minimum Values
[LIST]
[*] Applied Project: The Calculus of Rainbows
[/LIST]
[*] The Mean Value Theorem
[*] How Derivatives Affect the Shape of a Graph
[*] Indeterminate Forms and L'Hospital's Rule
[LIST]
[*] Writing Project: The Origins of L'Hospital's Rule
[/LIST]
[*] summary of Curve Sketching
[*] Graphic with Calculus and Calculators
[*] Optimization Problems
[LIST]
[*] Applied Project: The Shape of a Can
[/LIST]
[*] Newton's Method
[*] Antiderivatives
[*] Review
[*] Problems Plus
[/LIST]
[*] Integrals
[LIST]
[*] Areas and Distances
[*] The Definite Integral
[LIST]
[*] Discovery Project: Area Functions
[/LIST]
[*] The Fundamental Theorem of Calculus
[*] Indefinite Integrals and the Net Change Theorem
[LIST]
[*] Writing Project: Newton, Leibniz, and the invention of Calculus
[/LIST]
[*] The Substitution Rule
[*] Review
[*] Problems Plus
[/LIST]
[*] Integrals
[LIST]
[*] Areas between Curves
[*] Volumes
[*] Volumes by Cylindrical Shells
[*] Work
[*] Average Value of a Function
[LIST]
[*] Applied Project: Where to Sit at the Movies
[/LIST]
[*] Review
[*] Problems Plus
[/LIST]
[*] Techniques of Integration
[LIST]
[*] Integration by Parts
[*] Trigonometric Integrals
[*] Trigonometric Substitution
[*] Integration of Rational Functions by Partial Fractions
[*] Strategy for Integration
[*] Integration Using Tables and Computer Algebra Systems
[LIST]
[*] Discovery Project: Patterns in Integrals
[/LIST]
[*] Approximate Integration
[*] Improper Integrals
[*] Review
[*] Problems Plus
[/LIST]
[*] Further Applications of Integration
[LIST]
[*] Arc Length
[LIST]
[*] Discovery Project: Arc Length Contest
[/LIST]
[*] Area of a Surface of Revolution
[LIST]
[*] Discovery Project: Rotating on a Slant
[/LIST]
[*] Applications to Physics and Engineering
[LIST]
[*] Discovery Project: Complementary Coffee Cups
[/LIST]
[*] Applications to Economics and Biology
[*] Probability
[*] Review
[*] Problems Plus
[/LIST]
[*] Differential Equations
[LIST]
[*] Modeling with Differential Equations
[*] Direction Fields and Euler's Method
[*] Separable Equations
[LIST]
[*] Applied Project: How Fast Does a Tank Drain?
[*] Applied Project: Which is Fastern Going Up or Coming Down?
[/LIST]
[*] Models for Population Growth
[LIST]
[*] Applied Project: Calculus and Baseball
[/LIST]
[*] Linear Equations
[*] Predator-Prey Systems
[*] Review
[*] Problems Plus
[/LIST]
[*] Parametric Equations and Polar Coordinates
[LIST]
[*] Curves Defined by Parametric Equations
[LIST]
[*] Labratory Project: Running Circles around Circles
[/LIST]
[*] Calculus with Parametric Curves
[LIST]
[*] Labratory Project: Bézier Curves
[/LIST]
[*] Polar Coordinates
[*] Areas and Lengths in Polar Coordinates
[*] Conic Sections
[*] Conic Sections in Polar Coordinates
[*] Review
[*] Problems Plus
[/LIST]
[*] Infinite Sequences and Series
[LIST]
[*] Sequences
[LIST]
[*] Labratory Project: Logistic Sequences
[/LIST]
[*] 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
[LIST]
[*] Labratory Project: An Elusive Limit
[*] Writing Project: How Newton Discovered the Binomial Series
[/LIST]
[*] Applications of Taylor Polynomials
[LIST]
[*] Applied PRoject: Radiation from the Stars
[/LIST]
[*] Review
[*] Problems Plus
[/LIST]
[*] Vectors and the Geometry of Space
[LIST]
[*] Three-Dimensional Coordinate Systems
[*] Vectors
[*] The Dot Product
[*] The Cross Product
[LIST]
[*] Discovery Project: The Geometry of a Tetrahedron
[/LIST]
[*] Equations of Lines and Planes
[LIST]
[*] Labratory Project: Putting 3D in Perspective
[/LIST]
[*] Cylinders and Quadric Surfaces
[*] Review
[*] Problems Plus
[/LIST]
[*] Vector Functions
[LIST]
[*] Vector Functions and Space Curves
[*] Derivatives and Integrals of Vector Functions
[*] Arc Length and Curvature
[*] Motion in Space: Velocity and Acceleration
[LIST]
[*] Applied Project: Kepler's Laws
[/LIST]
[*] Review
[*] Problems Plus
[/LIST]
[*] Partial Derivatives
[LIST]
[*] 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
[LIST]
[*] Applied Project: Designing a Dumpster
[*] Discovery Project: Quadratic Approximations and Critical Points
[/LIST]
[*] Lagrange Mutlipliers
[LIST]
[*] Applied Project: Rocket Science
[*] Applied Project: Hydro-Turbine Optimization
[/LIST]
[*] Review
[*] Problems Plus
[/LIST]
[*] Multiple Integrals
[LIST]
[*] Double Integrals over Rectangles
[*] Iterated Integrals
[*] Double Integrals over General Regions
[*] Double Integrals in Polar Coordinates
[*] Applications of Double Integrals
[*] Triple Integrals
[LIST]
[*] Discovery Project: Volumes of Hyperspheres
[/LIST]
[*] Triple Integrals in Cylindrical Coordinates
[LIST]
[*] Discovery Project: The Intersection of Three Cylinders
[/LIST]
[*] Triple Integrals in Spherical Coordinates
[LIST]
[*] Applied Project: Roller Derby
[/LIST]
[*] Change of Variables in Multiple Integrals
[*] Review
[*] Problems Plus
[/LIST]
[*] Vector Calculus
[LIST]
[*] 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
[LIST]
[*] Writing Project: Three Men and Two Theorems
[/LIST]
[*] The Divergence Theorem
[*] Summary
[*] Review
[*] Problems Plus
[/LIST]
[*] Second-Order Differential Equations
[LIST]
[*] Second-Order Linear Equations
[*] Nonhomogeneous Linear Equations
[*] Applications of Second-Order Differential Equations
[*] Series Solutions
[*] Review
[/LIST]
[*] Appendixes
[LIST]
[*] 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
[*] Answers to Odd-Numbered Exercises
[/LIST]
[*] Index
[/LIST]

 

[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).

 

[PhizKid]

Isn't there a significantly cheaper international version?

 

[meanrev]

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/article/933017--the-house-that-math-built

 

[Astrum]

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.

 

[Greg Bernhardt]

Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook.

http://www.thestar.com/news/gta/article/933017--the-house-that-math-built

I'm in the wrong business!

 

[MarneMath]

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,

 

[tahayassen]

Not surprising. Stewart had a CAD$24m house built from the proceeds of his textbook.

http://www.thestar.com/news/gta/article/933017--the-house-that-math-built

WHAT?

I feel duped. I have to use this textbook for my calculus courses. D:<

https://www.amazon.com/dp/1111426686/?tag=pfamazon01-20

 

[iRaid]

Book is ok, price is not.

 

[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.

 

[iRaid]

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.

 

[PeteyCoco]

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.

 

[DrewD]

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.

 

[mathwonk]

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/SearchResults?an=james+stewart&sts=t&tn=calculus

of course for $185, it is absurd.

 

[dkotschessaa]

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

 

[That Neuron]

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.

 

[jedishrfu]

I'm in the wrong business!

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