Calculus: Early Vectors

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Brooks/Cole, 2003 - Mathematics - 1120 pages
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Once again keeping a keen ear to the needs of the evolving calculus community, Stewart created this text at the suggestion and with the collaboration of professors in the mathematics department at Texas A&M University. With an early introduction to vectors and vector functions, the approach is ideal for engineering students who use vectors early in their curriculum. Stewart begins by introducing vectors in Chapter 1, along with their basic operations, such as addition, scalar multiplication, and dot product. The definition of vector functions and parametric curves is given at the end of Chapter 1 using a two-dimensional trajectory of a projectile as motivation. Limits, derivatives, and integrals of vector functions are interwoven throughout the subsequent chapters. As with the other texts in his Calculus series, in Early Vectors Stewart makes us of heuristic examples to reveal calculus to students. His examples stand out because they are not just models for problem solving or a means of demonstrating techniques - they also encourage students to develop an analytic view of the subject. This heuristic or discovery approach in the examples give students an intuitive feeling for analysis.

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I do not find this book to be a particularly good one. It explains things mainly with the math proofs, making it difficult to understand what's going on. Usually I will go to Paul's on-line notes to get an understanding of a topic.

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About the author (2003)

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford. Stewart is currently a Professor of Mathematics at McMaster University. His research field is harmonic analysis. James Stewart is the author of a best-selling calculus textbook series published by Brooks/Cole, including CALCULUS, Fifth Edition and CALCULUS: EARLY TRANSCENDENTALS, Fifth Edition, as well as a series of precalculus texts.

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