Thomas' calculus

著者

書誌事項

Thomas' calculus

based on the original work by George B. Thomas, Jr. ; as revised by Maurice D. Weir, Joel Hass

Pearson, 2016

Thirteenth edition in S1 units, global edition

  • : paperback

タイトル別名

Calculus

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注記

Includes index

"With the assistance of Christopher Heil, SI conversion by Antonio Behn"--T.p

内容説明・目次

内容説明

This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors). 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.

目次

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

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