Thomas' Calculus, Thirteenth Edition, introduces students 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 timetested exercise sets. With this new edition, the exercises were refined, updated, and expanded—always with the goal of developing technical competence while furthering students' appreciation of the subject. Coauthors 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 students.


Salient Features

• Strong exercise sets feature a great breadth of problemsprogressing from skills problems to applied and theoretical problemsto encourage students to think about and practice the concepts until they achieve mastery

• Figures are conceived and rendered to provide insight for students and support conceptual reasoning

• The flexible table of contents divides complex topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students

• Complete and precise multivariable coverage enhances the connections of multivariable ideas with their singlevariable analogues studied earlier in the book.

New to this edition:

• Two new sections:

A. Basic integration formulas and the Substitution Rules combined with algebraic methods and trigonometric identities

B. Probability as an application of improper integrals to making predictions for probabilistic models, with a wide range of applications in business and sciences

• Updated and new art, and additional tables, supporting examples and exercises throughout"


Table of Content

Preface

1 Functions

2 Limits and Continuity

3 Derivatives

4 Applications of Derivatives

5 Integrals

6 Applications of Definite Integrals

7 Transcendental Functions

8 Techniques of Integration

9 FirstOrder Differential Equations

10 Infinite Sequences and Series

11 Parametric Equations and Polar Coordinates

12 Vectors and the Geometry of Space

13 VectorValued Functions and Motion in Space

14 Partial Derivatives

15 Multiple Integrals

16 Integrals and Vector Fields

17 SecondOrder Differential Equations online

Appendices

Answers to OddNumbered Exercises

Index


Author: George B. Thomas, Jr.

Maurice D. Weir

Joel Hass
