Advanced calculus with applications in statistics

Chapter 1. An Introduction to Set Theory, p. 1-20 -- Chapter 2. Basic Concepts in Linear Algebra, p. 21-56 -- Chapter 3. Limits and Continuity of Functions, p. 57-92 -- Chapter 4. Differentiation, p. 93-131 -- Chapter 5. Infinite Sequences and Series, p. 132-204 -- Chapter 6. Integration, p. 205-260 -- Chapter 7. Multidimensional Calculus, p. 261-326 -- Chapter 8. Optimization in Statistics, p. 327-402 -- Chapter 9. Approximation of Functions, p. 403-436 -- Chapter 10. Orthogonal Polynomials, p. 437-470 -- Chapter 11. Fourier Series, p. 471-516 -- Chapter 12. Approximation of Integrals, p. 517-556 -- Appendix: Solutions to Selected Exercises, p. 557-651

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