| Calculus - One-Variable Calculus, with an Introduction to Linear Algebra (1967) |
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| Table of Contents . Historical Introduction. . Some Basic Concepts of the Theory of Sets. . A Set of Axioms for the Real Number System. . Mathematical Induction, Summation Notation, and Related Topics. . The Concepts of the Integral Calculus. . Some Applications of Differentiation. . Continuous Functions. . Differential Calculus. . The Relation between Integration and Differentiation. . The Logarithm, the Exponential, and the Inverse Trigonometric Functions. . Polynomial Approximations to Functions. . Introduction to Differential Equations. . Complex Numbers. . Sequences, Infinite Series, Improper Integrals. . Sequences and Series of Functions. . Vector Algebra. . Applications of Vector Algebra to Analytic Geometry. . Calculus of Vector-Valued Functions. . Linear Spaces. . Linear Transformations and Matrices. . Exercises. . Answers to Exercises. . Index. |
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