by Paul Dawkins
Publisher: Lamar University 2011
Number of pages: 287
These lecture notes should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class. The notes assume that the reader has a good working knowledge of limits, derivatives, integration, some integration techniques, parametric equations, vectors, and three dimensional space.
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by Lynn H. Loomis, Shlomo Sternberg - Jones and Bartlett Publishers
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The text covers Euclidean three space, vectors, vector functions, derivatives, more dimensions, linear functions and matrices, continuity, the Taylor polynomial, sequences and series, Taylor series, integration, Gauss and Green, Stokes.
The textbook guides students through the core concepts of calculus. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
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Contents: Vector Functions; Functions of several variables; Limits and Continuity; Partial Derivatives; Maximum and Minimum Values; Lagrange Multipliers; Multiple Integrals; Surface Area; Triple Integrals; Vector Fields; Line Integrals; etc.