Thomas' Calculus, Fourteenth 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.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. 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 Updated graphics emphasize clear visualization and mathematical correctness. New examples and figures have been added throughout all chapters, based on user feedback. New types of homework exercises, including many geometric in nature, have been added to provide different perspectives and approaches to each topic. Short URLs have been added to the historical margin notes, allowing students to navigate directly to online information. New annotations within examples guide the student through the problem solution and emphasize that each step in a mathematical argument is rigorously justified.Table of ContentsPreface1. Functions2. Limits and Continuity3. Derivatives4. Applications of Derivatives5. Integrals6. Applications of Definite Integrals7. Transcendental Functions8. Techniques of Integration9. First-Order Differential Equations10. Infinite Sequences and Series11. Parametric Equations and Polar Coordinates12. Vectors and the Geometry of Space13. Vector-Valued Functions and Motion in Space14. Partial Derivatives15. Multiple Integrals16. Integrals and Vector Fields17. Second-Order Differential Equations (Online)AppendicesAnswers to Odd-Numbered ExercisesIndex.