Brief Applied Calculus (7版)

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【內容簡介】 The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Seventh Edition maintains the hallmark features that have made BRIEF APPLIED CALCULUS so popular: contemporary and interesting applications (including many that are new or updated); careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises and assignment options including Applied Exercises, Conceptual Exercises, and Explorations and Excursions. This edition also includes new content and features to help students get up to speed-and succeed-in the course, including a Diagnostic Test, an Algebra Review appendix, marginal notes that make connections with previous or future discussions, learning prompts to direct students to examples or to the Algebra Review, and more. 【章節目錄】 Ch 1 Functions Ch 2 Derivatives and Their Uses Ch 3 Further Applications of Derivatives Ch 4 Exponential and Logarithmic Functions Ch 5 Integration and Its Applications Ch 6 Integration Techniques and Differential Equations Ch 7 Calculus of Several Variables

FUNDAMENTALS OF MULTIVARIABLE CALCULUS

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This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus. Engaging and accessible with detailed diagrams and copious worked examples, the presentation is well suited to students pursuing applied fields such as engineering. Multiple integration is motivated intuitively through the calculation of mass. The chapter-end problems provide both drill and challenge. Overall, the book should equip students with the knowledge and confidence needed for subsequent courses. An appendix on hints renders the book suitable for self-study. Prerequisites are limited to single-variable calculus, linear algebra, and analytic geometry. Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Preliminaries: Lines, Trajectories, Surfaces, and 3D Figures Contents: Preface About the Authors Preliminaries Differential Calculus Double Integrals Triple Integrals Line Integrals Surface Integrals The Principal Theorems Appendix A: Fields in Curvilinear Coordinates Appendix B: Hints and Answers Index Readership: Undergraduate students in mathematics, science, and engineering, as well as practicing engineers.