The twelfth edition of Thomas' Calculus helps students to 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.
Table of Content
Preface
CHAPTER 1: Functions
CHAPTER 2: Limits and Continuity
CHAPTER 3: Differentiation
CHAPTER 4: Applications of Derivatives
CHAPTER 5: Integration
CHAPTER 6: Applications of Definite Integrals
CHAPTER 7: Transcendental Functions
CHAPTER 8: Techniques of Integration
CHAPTER 9: First-Order Differential Equations
CHAPTER 10: Infinite Sequences and Series
CHAPTER 11: Parametric Equations and Polar Coordinates
CHAPTER 12: Vectors and the Geometry of Space
CHAPTER 13: Vector-Valued Functions and Motion in Space
CHAPTER 14: Partial Derivatives
CHAPTER 15: Multiple Integrals
CHAPTER 16: Integration in Vector Fields
CHAPTER 17: Second-Order Differential Equations
Appendices
Answers to Odd-Numbered Exercises
Index
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Salient 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
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