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Editorial Copyright Download and Release History Real and Hyperreal Numbers Outline of Chapter 1 The Real Line Functions of Real Numbers Straight Lines Slope and Velocity; the Hyperreal Line Infinitesimal, Finite and Infinite Numbers Standard Parts Standard Parts Theorem 1: Theorem 2: III. Standard Part Principle Theorem 3: Summary Examples Problems Differentiation Continuous Functions Integral Limits, Analytic Geometry, and Approximations Applications of the Integral Trigonometric Functions Exponential and Logartihmic Functions Infinite Series Vectors Partial Differentiation Multiple Integrals Vector Calculus Differential Equations Appendix et Addenda

Last Update: 2011-01-22