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 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 students' 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 students.
Features Features:
• Strong exercise sets feature a great breadth of problems-progressing from skills problems to applied and theoretical problems-to 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 single-variable 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 Contents
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 First-Order Differential Equations
10 Infinite Sequences and Series
11 Parametric Equations and Polar Coordinates
12 Vectors and the Geometry of Space
13 Vector-Valued Functions and Motion in Space
14 Partial Derivatives
15 Multiple Integrals
16 Integrals and Vector Fields
17 Second-Order Differential Equations- online
Appendices
Answers to Odd-Numbered Exercises
Index
