Abstract
CALCULUS OF ONE VARIABLE. The Number System. Functions, Sequences, and Limits. Continuity and More Limits. Differentiation. Integration. The Elementary Transcendental Functions. VECTOR CALCULUS. Vectors and Curves. Functions of Several Variables. Limits and Continuity. Differential Functions. The Inversion Theorem. Multiple Integrals. Line and Surface Integrals. THEORY OF CONVERGENCE. Infinite Series. Sequence and Series of Functions. Uniform Convergence. The Taylor Series. Improper Integrals. Integral Representations of Functions. Gamma and Beta Functions. Laplace's Method and Stirling's Formula. Fourier Series. Elementary Differentiation and Integration Formulas. Answers, Hints, and Solutions. Index.
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