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Thomas' Calculus Early Transcendentals

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ISBN-10: 0321884078

ISBN-13: 9780321884077

Edition: 13th 2014

Authors: George B. Thomas, Maurice D. Weir, Joel R. Hass

List price: $277.20
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Description:

Thomas’ Calculus: Early Transcendentals, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded—always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners.
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Book details

List price: $277.20
Edition: 13th
Copyright year: 2014
Publisher: Pearson Education
Publication date: 10/8/2013
Binding: Hardcover
Pages: 1200
Size: 9.00" wide x 11.25" long x 1.25" tall
Weight: 5.192
Language: English

Peter Phillips is the director of Project Censored & an associate professor of sociology at Sonoma State University. Phillips writes op-ed pieces in the alternative press & independent newspapers nationwide. He frequently speaks on media censorship & various sociopolitical issues on radio & TV talk shows, including "Talk of the Nation", "Public Interest", "Talk America", "Democracy Now!", & the "Jim Hightower Show".

Functions
Functions and Their Graphs
Combining Functions; Shifting and Scaling Graphs
Trigonometric Functions
Graphing with Software
Exponential Functions
Inverse Functions and Logarithms
Limits and Continuity
Rates of Change and Tangents to Curves
Limit of a Function and Limit Laws
The Precise Definition of a Limit
One-Sided Limits
Continuity
Limits Involving Infinity; Asymptotes of Graphs
Differentiation
Tangents and the Derivative at a Point
The Derivative as a Function
Differentiation Rules
The Derivative as a Rate of Change
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Derivatives of Inverse Functions and Logarithms
Inverse Trigonometric Functions
Related Rates
Linearization and Differentials
Applications of Derivatives
Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the First Derivative Test
Concavity and Curve Sketching
Indeterminate Forms and L'H�pital's Rule
Applied Optimization
Newton's Method
Antiderivatives
Integration
Area and Estimating with Finite Sums
Sigma Notation and Limits of Finite Sums
The Definite Integral
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Method
Substitution and Area Between Curves
Applications of Definite Integrals
Volumes Using Cross-Sections
Volumes Using Cylindrical Shells
Arc Length
Areas of Surfaces of Revolution
Work and Fluid Forces
Moments and Centers of Mass
Integrals and Transcendental Functions
The Logarithm Defined as an Integral
Exponential Change and Separable Differential Equations
Hyperbolic Functions
Relative Rates of Growth
Techniques of Integration
Using Basic Integration Formulas
Integration by Parts
Trigonometric Integrals
Trigonometric Substitutions
Integration of Rational Functions by Partial Fractions
Integral Tables and Computer Algebra Systems
Numerical Integration
Improper Integrals
Probability
First-Order Differential Equations
Solutions, Slope Fields, and Euler's Method
First-Order Linear Equations
Applications
Graphical Solutions of Autonomous Equations
Systems of Equations and Phase Planes
Infinite Sequences and Series
Sequences
Infinite Series
The Integral Test
Comparison Tests
Absolute Convergence; The Ratio and Root Tests
Alternating Series and Conditional Convergence
Power Series
Taylor and Maclaurin Series
Convergence of Taylor Series
The Binomial Series and Applications of Taylor Series
Parametric Equations and Polar Coordinates
Parametrizations of Plane Curves
Calculus with Parametric Curves
Polar Coordinates
Graphing Polar Coordinate Equations
Areas and Lengths in Polar Coordinates
Conic Sections
Conics in Polar Coordinates
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Lines and Planes in Space
Cylinders and Quadric Surfaces
Vector-Valued Functions and Motion in Space
Curves in Space and Their Tangents
Integrals of Vector Functions; Projectile Motion
Arc Length in Space
Curvature and Normal Vectors of a Curve
Tangential and Normal Components of Acceleration
Velocity and Acceleration in Polar Coordinates
Partial Derivatives
Functions of Several Variables
Limits and Continuity in Higher Dimensions
Partial Derivatives
The Chain Rule
Directional Derivatives and Gradient Vectors
Tangent Planes and Differentials
Extreme Values and Saddle Points
Lagrange Multipliers
Taylor's Formula for Two Variables
Partial Derivatives with Constrained Variables
Multiple Integrals
Double and Iterated Integrals over Rectangles
Double Integrals over General Regions
Area by Double Integration
Double Integrals in Polar Form
Triple Integrals in Rectangular Coordinates
Moments and Centers of Mass
Triple Integrals in Cylindrical and Spherical Coordinates
Substitutions in Multiple Integrals
Integrals and Vector Fields
Line Integrals
Vector Fields and Line Integrals: Work, Circulation, and Flux
Path Independence, Conservative Fields, and Potential Functions
Green's Theorem in the Plane
Surfaces and Area
Surface Integrals
Stokes' Theorem
The Divergence Theorem and a Unified Theory
Second-Order Differential Equations (online)
Second-Order Linear Equations
Nonhomogeneous Linear Equations
Applications
Euler Equations
Power-Series Solutions
Appendices
Real Numbers and the Real Line
Mathematical Induction
Lines, Circles, and Parabolas
Proofs of Limit Theorems
Commonly Occurring Limits
Theory of the Real Numbers
Complex Numbers
The Distributive Law for Vector Cross Products
The Mixed Derivative Theorem and the Increment Theorem