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Check for Availabilityout of stock. Click on the button below to search for this title in other formats.  Calculus, Multivariable: Early Transcendental Functions
Synopses & ReviewsPublisher Comments:Students who have used Smith/Minton's Calculus say it was easier to read than any other math book they've used. That testimony underscores the success of the authors approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/Minton also provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: • A new organization placing all transcendental functions early in the book and consolidating the introduction to L'Hôpital's Rule in a single section. • More concisely written explanations in every chapter. • Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. • New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. • New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn. • New counterpoints to the historical notes, “Today in Mathematics,” that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. • An enhanced discussion of differential equations and additional applications of vector calculus. Synopsis:The wide-ranging debate brought about by the calculus reform movement has had a significant impact on calculus textbooks. In response to many of the questions and concerns surrounding this debate, the authors have written a modern calculus textbook, intended for students majoring in mathematics, physics, chemistry, engineering and related fields. The text is written for the average student — one who does not already know the subject, whose background is somewhat weak in spots, and who requires a significant motivation to study calculus. The authors follow a relatively standard order of presentation, while integrating technology and thought-provoking exercises throughout the text. Some minor changes have been made in the order of topics to reflect shifts in the importance of certain applications in engineering and science. This text also gives an early introduction to logarithms, exponentials and the trigonometric functions. Wherever practical, concepts are developed from graphical, numerical, and algebraic perspectives (the "Rule of Three") to give students a full understanding of calculus. This text places a significant emphasis on problem solving and presents realistic applications, as well as open-ended problems. Table of Contents10 Vectors and the Geometry of Space 10.2 Vectors in Space Components and Projections10.5 Lines and Planes in Space 11 Vector-Valued Functions 11.2 The Calculus of Vector-Valued Functions 11.4 CurvatureTangential and Normal Components of Acceleration 11.6 Parametric Surfaces 12.1 Functions of Several Variables 12.3 Partial Derivatives Increments and Differentials12.6 The Gradient and Directional Derivatives 12.8 Constrained Optimization and Lagrange Multipliers 13.1 Double Integrals 13.3 Double Integrals in Polar Coordinates 13.5 Triple Integrals13.6 Cylindrical Coordinates 13.8 Change of Variables in Multiple Integrals 14.1 Vector Fields 14.3 Independence of Path and Conservative Vector Fields 14.5 Curl and Divergence 14.7 The Divergence Theorem 14.9 Applications of Vector Calculus 15.1 Second-Order Equations with Constant Coefficients 15.3 Applications of Second-Order Differential EquationsAppendix A: Proofs of Selected Theorems | |||
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