Thomas' Calculus in SI Units, 13/e (IE-Paperback)

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Thomas' Calculus in SI Units, 13/e (IE-Paperback)

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內容描述

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.

目錄大綱

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