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# Thomas' calculus

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Catalogue
Thomas' calculus

Were you looking for the book with access to MyMathLab? This product is the book alone, and does NOT come with access to MyMathLab. Buy Thomas' Calculus with MyMathLab access card 12e (ISBN 9781408263198) if you need access to the MyLab as well, and save money on this brilliant resource. This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors). The Global Edition textbook uses 100% metric units throughout. Calculus hasn’t changed, but your students have. Today’s students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas’ Calculus, Twelfth Edition, helps your students successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching. The text is available with a robust MyMathLab® course–an online homework, tutorial, and study solution designed for today’s students. In addition to interactive multimedia features like Java™ applets and animations, thousands of MathXL® exercises are available for students to get the practice they need. Need extra support? This product is the book alone, and does NOT come with access to MyMathLab. You can benefit from MyMathLab at a reduced price by purchasing a pack containing a copy of the book and an access card for MyMathLab: Thomas' Calculus with MyMathLab access card 12e (ISBN 9781408263198). Alternatively, buy access to MyXLab and the eText – an online version of the book - online at www.MyMathLab.com. For educator access, contact your Pearson Account Manager. To find out who your Account Manager is, visit www.pearsoned.co.uk/replocator For more instructor resources available with this title, visit www.pearsoned.co.uk

Paperback, Book.
English.

12th ed., Metric ed.

Published
Boston, Mass.: Pearson, c2010

Available on the shelf at Aldrich.

Edition statement: based on the original work by George B. Thomas, Jr., as revised by Maurice D. Weir, Joel Hass.

Copyright: 2010

ISBN: 0321643631, 9780321643636

Note:
"Global edition"--Cover.

Note:
Includes index.

Physical Description:
xv, 988 p. : ill. ; 28 cm.

Subject:
Calculus Problems, exercises, etc.; Calculus.

- 1. Functions
- 1.1 Functions and Their Graphs
- 1.2 Combining Functions; Shifting and Scaling Graphs
- 1.3 Trigonometric Functions
- 1.4 Graphing with Calculators and Computers
- 2. Limits and Continuity
- 2.1 Rates of Change and Tangents to Curves
- 2.2 Limit of a Function and Limit Laws
- 2.3 The Precise Definition of a Limit
- 2.4 One-Sided Limits
- 2.5 Continuity
- 2.6 Limits Involving Infinity; Asymptotes of Graphs
- 3. Differentiation
- 3.1 Tangents and the Derivative at a Point
- 3.2 The Derivative as a Function
- 3.3 Differentiation Rules
- 3.4 The Derivative as a Rate of Change
- 3.5 Derivatives of Trigonometric Functions
- 3.6 The Chain Rule
- 3.7 Implicit Differentiation
- 3.8 Related Rates
- 3.9 Linearization and Differentials
- 4. Applications of Derivatives
- 4.1 Extreme Values of Functions
- 4.2 The Mean Value Theorem
- 4.3 Monotonic Functions and the First Derivative Test
- 4.4 Concavity and Curve Sketching
- 4.5 Applied Optimization
- 4.6 Newton's Method
- 4.7 Antiderivatives
- 5. Integration
- 5.1 Area and Estimating with Finite Sums
- 5.2 Sigma Notation and Limits of Finite Sums
- 5.3 The Definite Integral
- 5.4 The Fundamental Theorem of Calculus
- 5.5 Indefinite Integrals and the Substitution Method
- 5.6 Substitution and Area Between Curves
- 6. Applications of Definite Integrals
- 6.1 Volumes Using Cross-Sections
- 6.2 Volumes Using Cylindrical Shells
- 6.3 Arc Length
- 6.4 Areas of Surfaces of Revolution
- 6.5 Work and Fluid Forces
- 6.6 Moments and Centers of Mass
- 7. Transcendental Functions
- 7.1 Inverse Functions and Their Derivatives
- 7.2 Natural Logarithms
- 7.3 Exponential Functions
- 7.4 Exponential Change and Separable Differential Equations
- 7.5 Indeterminate Forms and L'Hôpital's Rule
- 7.6 Inverse Trigonometric Functions
- 7.7 Hyperbolic Functions
- 7.8 Relative Rates of Growth
- 8. Techniques of Integration
- 8.1 Integration by Parts
- 8.2 Trigonometric Integrals
- 8.3 Trigonometric Substitutions
- 8.4 Integration of Rational Functions by Partial Fractions
- 8.5 Integral Tables and Computer Algebra Systems
- 8.6 Numerical Integration
- 8.7 Improper Integrals
- 9. First-Order Differential Equations
- 9.1 Solutions, Slope Fields, and Euler's Method
- 9.2 First-Order Linear Equations
- 9.3 Applications
- 9.4 Graphical Solutions of Autonomous Equations
- 9.5 Systems of Equations and Phase Planes
- 10. Infinite Sequences and Series
- 10.1 Sequences
- 10.2 Infinite Series
- 10.3 The Integral Test
- 10.4 Comparison Tests
- 10.5 The Ratio and Root Tests
- 10.6 Alternating Series, Absolute and Conditional Convergence
- 10.7 Power Series
- 10.8 Taylor and Maclaurin Series
- 10.9 Convergence of Taylor Series
- 10.10 The Binomial Series and Applications of Taylor Series
- 11. Parametric Equations and Polar Coordinates
- 11.1 Parametrizations of Plane Curves
- 11.2 Calculus with Parametric Curves
- 11.3 Polar Coordinates
- 11.4 Graphing in Polar Coordinates
- 11.5 Areas and Lengths in Polar Coordinates
- 11.6 Conic Sections
- 11.7 Conics in Polar Coordinates
- 12. Vectors and the Geometry of Space
- 12.1 Three-Dimensional Coordinate Systems
- 12.2 Vectors
- 12.3 The Dot Product
- 12.4 The Cross Product
- 12.5 Lines and Planes in Space
- 12.6 Cylinders and Quadric Surfaces
- 13. Vector-Valued Functions and Motion in Space
- 13.1 Curves in Space and Their Tangents
- 13.2 Integrals of Vector Functions; Projectile Motion
- 13.3 Arc Length in Space
- 13.4 Curvature and Normal Vectors of a Curve
- 13.5 Tangential and Normal Components of Acceleration
- 13.6 Velocity and Acceleration in Polar Coordinates
- 14. Partial Derivatives
- 14.1 Functions of Several Variables
- 14.2 Limits and Continuity in Higher Dimensions
- 14.3 Partial Derivatives
- 14.4 The Chain Rule
- 14.5 Directional Derivatives and Gradient Vectors
- 14.6 Tangent Planes and Differentials
- 14.7 Extreme Values and Saddle Points
- 14.8 Lagrange Multipliers
- 14.9 Taylor's Formula for Two Variables
- 14.10 Partial Derivatives with Constrained Variables
- 15. Multiple Integrals
- 15.1 Double and Iterated Integrals over Rectangles
- 15.2 Double Integrals over General Regions
- 15.3 Area by Double Integration
- 15.4 Double Integrals in Polar Form
- 15.5 Triple Integrals in Rectangular Coordinates
- 15.6 Moments and Centers of Mass
- 15.7 Triple Integrals in Cylindrical and Spherical Coordinates
- 15.8 Substitutions in Multiple Integrals
- 16. Integration in Vector Fields
- 16.1 Line Integrals
- 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux
- 16.3 Path Independence, Conservative Fields, and Potential Functions
- 16.4 Green's Theorem in the Plane
- 16.5 Surfaces and Area
- 16.6 Surface Integrals
- 16.7 Stokes' Theorem
- 16.8 The Divergence Theorem and a Unified Theory
- 17. Second-Order Differential Equations (online)
- 17.1 Second-Order Linear Equations
- 17.2 Nonhomogeneous Linear Equations
- 17.3 Applications
- 17.4 Euler Equations
- 17.5 Power Series Solutions
- Appendices
- 1. Real Numbers and the Real Line
- 2. Mathematical Induction
- 3. Lines, Circles, and Parabolas
- 4. Proofs of Limit Theorems
- 5. Commonly Occurring Limits
- 6. Theory of the Real Numbers
- 7. Complex Numbers
- 8. The Distributive Law for Vector Cross Products
- 9. The Mixed Derivative Theorem and the Increment Theorem

**Were you looking for the book with access to MyMathLab? This product is the book alone, and does NOT come with access to MyMathLab. Buy Thomas' Calculus with MyMathLab access card 12e (ISBN **9781408263198

This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).

**The Global Edition textbook uses 100% metric units throughout.**

Calculus hasn’t changed, but your students have. Today’s students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. **Thomas’ Calculus, Twelfth Edition**, helps your students successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching.

The text is available with a robust **MyMathLab**® course–an online homework, tutorial, and study solution designed for today’s students. In addition to interactive multimedia features like Java™ applets and animations, thousands of MathXL® exercises are available for students to get the practice they need.

**Need extra support? **

This product is the book alone, and does NOT come with access to MyMathLab.

You can benefit from MyMathLab at a reduced price by purchasing a pack containing a copy of the book and an access card for MyMathLab: ** Thomas' Calculus with MyMathLab access card 12e (ISBN **9781408263198

For educator access, contact your Pearson Account Manager. To find out who your Account Manager is, visit www.pearsoned.co.uk/replocator

For more instructor resources available with this title, visit www.pearsoned.co.uk