Worldwide Integral Calculus with Infinite Series by David B. Massey
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Overview: Worldwide Integral Calculus, with infinite series, covers integral Calculus and infinite series. The textbook begins with a more-extensive discussion of anti-differentiation techniques. The second chapter contains a discussion of Riemann sums and the motivation for the definition of the definite (Riemann) integral. The definite integral is defined, and the main method of calculation, the Fundamental Theorem of Calculus is presented. Improper integrals and numerical approximation are also covered. Chapter 3 contains a large number of applications of integration, including displacement, distance traveled, area in the plane, volume, surface area, mass, centers of mass, work, and hydrostatic pressure. Chapter 4 contains the material on Taylor polynomials, power series, and Taylor series; this material is presented before the standard convergence/divergence tests for sequences and series of numbers. This ordering of material helps students focus on the material that they may actually apply in later physics, engineering, or business classes. Chapter 5 contains the technical theorems, the convergence/divergence tests, for sequences and series of numbers.
Genre: Non-Fiction > Educational
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