Thomas' Calculus

Thomas’ Calculus, Thirteenth Edition, introduces readers 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 readers’ 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 learners.

• 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
• A.1 Real Numbers and the Real Line
• A.2 Mathematical Induction
• A.3 Lines, Circles, and Parabolas
• A.4 Proofs of Limit Theorems
• A.5 Commonly Occurring Limits
• A.6 Theory of the Real Numbers
• A.7 Complex Numbers
• A.8 The Distributive Law for Vector Cross Products
• A.9 The Mixed Derivative Theorem and the Increment Theorem